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Keywords = quantum orbital angular momentum

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24 pages, 1862 KB  
Article
Photon Blockade in a Laguerre–Gaussian Optorotational System with Cross-Kerr Nonlinearity
by Ke-Dong Liu, Tai-Shuang Yin and Aixi Chen
Photonics 2026, 13(8), 725; https://doi.org/10.3390/photonics13080725 - 30 Jul 2026
Viewed by 377
Abstract
We explore the generation of photon blockade effect in a Laguerre–Gaussian optorotational system where a Gaussian beam exchanges orbital angular momentum with a rotating spiral phase mirror. In addition to the typical optorotational coupling, we consider the existence of cross-Kerr nonlinearity between the [...] Read more.
We explore the generation of photon blockade effect in a Laguerre–Gaussian optorotational system where a Gaussian beam exchanges orbital angular momentum with a rotating spiral phase mirror. In addition to the typical optorotational coupling, we consider the existence of cross-Kerr nonlinearity between the cavity mode and the rotating mirror. We investigate the statistical characteristics of photons by numerically and analytically calculating the second-order correlation function. In particular, we find that the antibunching effect of photons is dominated by the cooperative operation between the optorotational coupling and the cross-Kerr coupling instead of any individual part. The optimal single photon blockade can be achieved in a moderate coupling regime and enhanced due to the presence of cross-Kerr nonlinearity. The dependence of photon blockade effect on the different system parameters is discussed in detail. Our work provides an alternative way to manipulate the photon quantum behaviors in Laguerre–Gaussian optorotational systems, which may find potential applications in quantum information processing and optical communication utilizing the optical orbital angular momentum. Full article
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15 pages, 21257 KB  
Article
Orbital Angular Momentum-Resolved Photon Channels for Tailoring High-Harmonic Generation in Bichromatic Vortex Fields
by Zi-Jian Xiang, Rui-Yuan Zhang and Jing Guo
Atoms 2026, 14(7), 62; https://doi.org/10.3390/atoms14070062 - 22 Jul 2026
Viewed by 416
Abstract
Tailoring the spatial and angular-momentum structure of high-harmonic radiation is an important route toward controllable extreme-ultraviolet structured light. Here, we introduce an orbital angular momentum (OAM)-resolved photon-channel framework to elucidate spatial-mode formation in high-harmonic generation driven by bichromatic vortex fields. Combined with numerical [...] Read more.
Tailoring the spatial and angular-momentum structure of high-harmonic radiation is an important route toward controllable extreme-ultraviolet structured light. Here, we introduce an orbital angular momentum (OAM)-resolved photon-channel framework to elucidate spatial-mode formation in high-harmonic generation driven by bichromatic vortex fields. Combined with numerical solutions of the time-dependent Schrödinger equation for argon, this framework shows that the spatial structure of the emitted harmonics is governed by spectral broadening and interference among dominant OAM-carrying photon channels. This mechanism drives a continuous transition from clean vortex beams at harmonic peaks, characterized by high OAM purity, nearly pure circular polarization, and strong transverse coherence, to disordered speckle-like patterns in harmonic valleys, where multi-channel interference induces pronounced phase distortion. These results identify photon-channel interference as a useful mechanism for controlling the OAM, polarization, and spatial coherence of harmonic beams. The proposed analysis provides a field-control and OAM-channel framework that may be extended in future studies to structured-light probes of ultrafast dynamics and topological phases in quantum materials. Full article
(This article belongs to the Special Issue Quantum and Optical Phenomena in Atomic Systems)
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13 pages, 347 KB  
Article
Vorticity of Twisted Electron Fields: Role of the Energy–Momentum Tensor
by Andrei Afanasev, Carl E. Carlson and Asmita Mukherjee
Quantum Beam Sci. 2026, 10(2), 8; https://doi.org/10.3390/qubs10020008 - 25 Mar 2026
Viewed by 954
Abstract
Electron fields (and more generally spinor fields) with a vortex structure in free space that allows them to have arbitrary integer orbital angular momentum along the direction of motion have been studied for some time. We point out that there are several ways [...] Read more.
Electron fields (and more generally spinor fields) with a vortex structure in free space that allows them to have arbitrary integer orbital angular momentum along the direction of motion have been studied for some time. We point out that there are several ways to calculate the local velocity of the electron field, defined as the ratio of momentum density to energy density, and that all but one show a singular vorticity at the vortex line. That one, using the Dirac bilinear current with no derivatives, is the only one so far (to our knowledge) studied in the literature in this context and we further show how to understand an apparent conflict in the existing results. The momentum densities corresponding to the three possible velocity fields give different physical results, in particular regarding the electron induced quantum superkicks given to small electron-absorbing test objects. Full article
(This article belongs to the Section Radiation Scattering Fundamentals and Theory)
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14 pages, 3808 KB  
Article
A Multichannel Vortex Beam Generator via Spatially Structured Bidirectional Two-Color-Pump Four-Wave Mixing in a Single 133Cs Vapor Cell
by Dan Wang, Meng-Yu Bian, Zi-Yi Gao, Liang-Hui Huang, Hai-Tao Zhou and Jun-Xiang Zhang
Photonics 2026, 13(3), 247; https://doi.org/10.3390/photonics13030247 - 3 Mar 2026
Viewed by 593
Abstract
Multichannel vortex beams serve as an essential physical source for enabling multi-spot laser processing and high-dimensional spatial multiplexing communications. We demonstrate a compact, flexibly tunable multichannel vortex beam generator using spatially structured bidirectional two-color pump vortex four-wave mixing in a single 133Cs [...] Read more.
Multichannel vortex beams serve as an essential physical source for enabling multi-spot laser processing and high-dimensional spatial multiplexing communications. We demonstrate a compact, flexibly tunable multichannel vortex beam generator using spatially structured bidirectional two-color pump vortex four-wave mixing in a single 133Cs vapor cell. To enhance spatial multiplexing, both sides of the cell are utilized. By engineering the propagation directions and frequencies of five input beams, we establish a nonlinear interaction region that supports 16 concurrent phase-matching conditions, thereby enabling the parallel generation of up to eight vortex channels. The orbital angular momentum of the output beams follows deterministic algebraic rules, allowing for programmable control via tailored input orbital angular momentum combinations. Moreover, the channel count can be linearly tuned by selectively deactivating pumps—each switched-off pump reduces the number of output channels by two. This flexible control over orbital angular momentum states, together with channel count and spatial arrangement, establishes a highly integrated platform for on-demand vortex generation. This work highlights the potential of spatially bidirectional structured pumping in atomic vapor to expand optical dimensionality and enhance multiplexing capacity, paving the way toward multidimensional communications, quantum networks, and integrated photonics. Full article
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12 pages, 683 KB  
Article
Seawater Continuous-Variable Quantum Key Distribution with Orbital Angular Momentum Multiplexing
by Lei Mao, Zhangtao Liang, Weihan Zhang, Hang Zhang and Yijun Wang
Mathematics 2026, 14(4), 660; https://doi.org/10.3390/math14040660 - 13 Feb 2026
Viewed by 679
Abstract
Continuous-Variable Quantum Key Distribution (CVQKD), based on quantum mechanical principles, offers theoretically unconditional security and represents a crucial direction for future secure communications. However, its application in marine environments faces challenges such as high attenuation, scattering, and turbulence in seawater, severely impacting quantum [...] Read more.
Continuous-Variable Quantum Key Distribution (CVQKD), based on quantum mechanical principles, offers theoretically unconditional security and represents a crucial direction for future secure communications. However, its application in marine environments faces challenges such as high attenuation, scattering, and turbulence in seawater, severely impacting quantum signal transmission and secure key generation efficiency. Orbital angular momentum (OAM) multiplexing technology leverages the orthogonality of photon OAM modes to transmit multiple independent quantum signals in parallel within a single spatial channel. In this scheme, each OAM mode serves as an independent sub-channel, enabling simultaneous key distribution across multiple modes, thereby significantly enhancing the system’s secure key rate and spectral efficiency. This paper proposes an OAM-multiplexed CVQKD scheme tailored for marine channels. Based on Yi’s power spectrum model for marine turbulence refractive index fluctuations, we derive expressions for OAM mode probability density and detection probability. Through system modeling and performance analysis, we investigate the impact of marine turbulence on OAM modes, as well as on the secure key rate and transmission distance of CVQKD systems. Results indicate that higher-order OAM modes exhibit more pronounced turbulence effects, leading to reduced key rates and limited transmission distances. The OAM multiplexing approach significantly enhances system key rates, providing theoretical and technical references for constructing high-rate seawater quantum communication networks. Full article
(This article belongs to the Topic Quantum Information and Quantum Computing, 2nd Volume)
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14 pages, 3979 KB  
Article
Spatial-Multiplexed Four-Channel Optical Amplification via Multiple Four-Wave Mixing in a Double-Λ Atomic System
by Xin Li, Dan Song, Yu-Xia Fan, Rong Miao, Dan Wang, Bao-Dong Yang, Hai-Tao Zhou and Jun-Xiang Zhang
Nanomaterials 2026, 16(3), 184; https://doi.org/10.3390/nano16030184 - 29 Jan 2026
Cited by 1 | Viewed by 1043
Abstract
Optical amplification and spatial multiplexing technologies have important applications in quantum communication, quantum networks, and optical information processing. In this paper, based on the non-reciprocal amplification of a pair of co-propagating conjugate four-wave mixing (FWM) signals induced by a one-way pump field in [...] Read more.
Optical amplification and spatial multiplexing technologies have important applications in quantum communication, quantum networks, and optical information processing. In this paper, based on the non-reciprocal amplification of a pair of co-propagating conjugate four-wave mixing (FWM) signals induced by a one-way pump field in a double-Λ-type hot atomic system, we demonstrate spatially multiplexed multiple FWM processes by introducing a counter-propagating collinear pump field. This configuration enables simultaneous amplification of bidirectional four-channel FWM signals. Furthermore, when the injected signal and pump beams are modulated to Laguerre–Gaussian beams carrying different optical orbital angular momentum (OAM), the OAM of the pump beam is transferred to each amplified field. Through the tilted lens method, we experimentally demonstrate that the OAM of the amplified signal light remains identical to that of the original injected signal light. In contrast, the OAM of the other three newly generated FWM fields is governed by the angular momentum conservation law of their respective FWM processes, which enables the precise manipulation of the OAM for the other generated amplified fields. Theoretical analysis of the dynamical transport equation for the density operator in light–matter interaction processes fully corroborates the experimental results. These findings establish a robust framework for developing OAM-compatible optical non-reciprocal devices based on complex structured light. Full article
(This article belongs to the Special Issue Optical Properties of Nanomaterials: Linear and Nonlinear Behavior)
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40 pages, 9996 KB  
Review
Optical Spin Angular Momentum: Properties, Topologies, Detection and Applications
by Shucen Liu, Xi Xie, Peng Shi and Yijie Shen
Nanomaterials 2025, 15(23), 1798; https://doi.org/10.3390/nano15231798 - 28 Nov 2025
Cited by 4 | Viewed by 2159
Abstract
Spin angular momentum is a fundamental dynamical property of elementary particles and fields, playing a critical role in light–matter interactions. In optical studies, the optical spin angular momentum is closely linked to circular polarization. Research on the interaction between optical spin and matter [...] Read more.
Spin angular momentum is a fundamental dynamical property of elementary particles and fields, playing a critical role in light–matter interactions. In optical studies, the optical spin angular momentum is closely linked to circular polarization. Research on the interaction between optical spin and matter or structures has led to numerous novel optical phenomena and applications, giving rise to the emerging field of spin optics. Historically, researchers primarily focused on longitudinal optical spin aligned parallel to the mean wavevector. In recent years, investigations into the spin–orbit coupling properties of confined fields—such as focused beams, guided waves, and evanescent waves—have revealed a new class of optical spin oriented perpendicular to the mean wavevector, referred to as optical transverse spin. In the optical near-field, such transverse spins arise from spatial variations in the momentum density of confined electromagnetic waves, where strong coupling between spin and orbital angular momenta leads to various topological spin structures and properties. Several reviews on optical transverse spin have been published in recent years, systematically introducing its fundamental concepts and the configurations that generate it. In this review, we detail recent advances in spin optics from three perspectives: theory, experimental techniques, and applications, with a particular emphasis on the fundamental physics of transverse spin and the resulting topological structures and characteristics. The conceptual and theoretical framework of spin optics is expected to significantly support further exploration of optical spin-based applications in fields such as optics imaging, topological photonics, metrology, and quantum technologies. Furthermore, these principles can be extended to general classical wave systems, including fluidic, acoustic, and gravitational waves. Full article
(This article belongs to the Special Issue Advanced Nanomaterials for Photonics, Plasmonics and Metasurfaces)
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20 pages, 4201 KB  
Article
Design and Experimental Research of Vortex Beam Mixer
by Chenghu Ke, Xinwen Zhang, Xizheng Ke and Peng Li
Photonics 2025, 12(12), 1164; https://doi.org/10.3390/photonics12121164 - 26 Nov 2025
Viewed by 617
Abstract
Based on the birefringence phenomenon of vortex beam in uniaxial crystals for optical path design, yttrium vanadate crystals and waveplates are used to realize coherent mixing of vortex beam. A crystal-type spatial light mixer applied to a vortex beam communication system is designed. [...] Read more.
Based on the birefringence phenomenon of vortex beam in uniaxial crystals for optical path design, yttrium vanadate crystals and waveplates are used to realize coherent mixing of vortex beam. A crystal-type spatial light mixer applied to a vortex beam communication system is designed. The effects of beam polarization, waveplate optical axis, crystal transmittance, and other factors on the performance of the mixer are explored. Simulations show that the mixer output phase error is extremely small, the insertion loss is about 1.9 dB , and the overall loss is close to 36.6%. Finally, it is applied in the vortex optical coherent communication system, and the effectiveness of the optical mixer is experimentally verified with a phase deviation of 3°, a splitting ratio close to 1, and a mixing efficiency of 78.5%. Vortex beam mixer extracts information such as phase, amplitude, and polarization of the signal light by combining optical beams with orbital angular momentum modes. It enables mode multiplexing, topologically protected transmission, and high-order modulation. This technology is widely applied in space optical communication, high-speed fiber-optic systems, and quantum communication. Full article
(This article belongs to the Section Optical Communication and Network)
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15 pages, 5717 KB  
Article
Towards a Twisted Atom Laser: Cold Atoms Released from Helical Optical Tube Potentials
by Amine Jaouadi, Andreas Lyras and Vasileios E. Lembessis
Photonics 2025, 12(10), 999; https://doi.org/10.3390/photonics12100999 - 10 Oct 2025
Cited by 1 | Viewed by 1261
Abstract
We study the quantum dynamics of cold atoms initially confined in a helical optical tube (HOT) and subsequently released into free space. This helicoidal potential, engineered via structured light fields with orbital angular momentum, imposes a twisted geometry on the atomic ensemble during [...] Read more.
We study the quantum dynamics of cold atoms initially confined in a helical optical tube (HOT) and subsequently released into free space. This helicoidal potential, engineered via structured light fields with orbital angular momentum, imposes a twisted geometry on the atomic ensemble during confinement. We examine how this geometry shapes the initial quantum state—particularly its spatial localization and phase structure—and how these features influence the subsequent free evolution. Our analysis reveals that the overall confinement geometry supports the formation of spatially coherent, structured wavepackets, paving the way for the realization of twisted Bose–Einstein condensates and directed atom lasers. The results are of particular interest for applications in quantum technologies, such as coherent atom beam shaping, matter-wave interferometry, and guided transport of quantum matter. Full article
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11 pages, 351 KB  
Article
Short–Range Hard–Sphere Potential and Coulomb Interaction: Deser–Trueman Formula for Rydberg States of Exotic Atomic Systems
by Gregory S. Adkins and Ulrich D. Jentschura
Atoms 2025, 13(9), 81; https://doi.org/10.3390/atoms13090081 - 11 Sep 2025
Cited by 3 | Viewed by 1919
Abstract
In exotic atomic systems with hadronic constituent particles, it is notoriously difficult to estimate the strong-interaction correction to energy levels. It is well known that, due to the strength of the nuclear interaction, the problem cannot be solved using Wigner–Brillouin perturbation theory alone. [...] Read more.
In exotic atomic systems with hadronic constituent particles, it is notoriously difficult to estimate the strong-interaction correction to energy levels. It is well known that, due to the strength of the nuclear interaction, the problem cannot be solved using Wigner–Brillouin perturbation theory alone. Recently, high-angular-momentum Rydberg states of exotic atomic systems with hadronic constituents have been identified as promising candidates in the search for new physics in the low-energy sector of the Standard Model. We thus derive a generalized Deser–Trueman formula for the induced energy shift for a general hydrogenic bound state with principal quantum number n and orbital angular momentum quantum number , and we find that the energy shift is given by the formula δE=2αn,β(ah/a0)2+1Eh/n3, where αn,0=1, αn,=s=1(s2n2), β=(2+1)/[(2+1)!!]2, Eh is the Hartree energy, ah is the hadronic radius and a0 is the generalized Bohr radius. The square of the double factorial, [(2+1)!!]2, in the denominator implies a drastic suppression of the effect for higher angular momenta. Full article
(This article belongs to the Section Nuclear Theory and Experiments)
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15 pages, 689 KB  
Article
Magnetic Toroidal Monopole in a Single-Site System
by Satoru Hayami
Magnetism 2025, 5(3), 15; https://doi.org/10.3390/magnetism5030015 - 25 Jun 2025
Cited by 1 | Viewed by 2328
Abstract
A magnetic toroidal monopole, which characterizes time-reversal-odd polar-charge quantity, manifests itself not only in antiferromagnetism but also in time-reversal switching physical responses. We theoretically investigate an atomic-scale description of the magnetic toroidal monopole based on multipole representation theory, which consists of four types [...] Read more.
A magnetic toroidal monopole, which characterizes time-reversal-odd polar-charge quantity, manifests itself not only in antiferromagnetism but also in time-reversal switching physical responses. We theoretically investigate an atomic-scale description of the magnetic toroidal monopole based on multipole representation theory, which consists of four types of multipoles. We show that the magnetic toroidal monopole degree of freedom is activated as the off-diagonal imaginary hybridization between the single-site orbitals with the same orbital angular momentum but different principal quantum numbers. We demonstrate that the expectation value of the magnetic toroidal monopole becomes nonzero when both electric and magnetic fields are applied to the system. Full article
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26 pages, 414 KB  
Article
Statistics of Quantum Numbers for Non-Equivalent Fermions in Single-j Shells
by Jean-Christophe Pain
Atoms 2025, 13(4), 25; https://doi.org/10.3390/atoms13040025 - 25 Mar 2025
Cited by 2 | Viewed by 1582
Abstract
This work addresses closed-form expressions for the distributions P(M) of the magnetic quantum numbers M and Q(J) of total angular momentum J for non-equivalent fermions in single-j orbits. Such quantities play an important role in both [...] Read more.
This work addresses closed-form expressions for the distributions P(M) of the magnetic quantum numbers M and Q(J) of total angular momentum J for non-equivalent fermions in single-j orbits. Such quantities play an important role in both nuclear and atomic physics, through the shell models. Using irreducible representations of the rotation group, different kinds of formulas are presented, involving multinomial coefficients, generalized Pascal triangle coefficients, or hypergeometric functions. Special cases are discussed, and the connections between P(M) (and therefore Q(J)) and mathematical functions such as elementary symmetric, cyclotomic, and Jacobi polynomials are outlined. Full article
(This article belongs to the Section Atomic, Molecular and Nuclear Spectroscopy and Collisions)
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13 pages, 2964 KB  
Article
Nonlinear-Optical Processing of OAM Light States in a Few-Mode Fiber
by Cheng Guo, Afshin Shamsshooli, Francesca Parmigiani, Xiaoying Li and Michael Vasilyev
Photonics 2025, 12(3), 233; https://doi.org/10.3390/photonics12030233 - 4 Mar 2025
Cited by 4 | Viewed by 1943
Abstract
Utilizing the phase-matching conditions of inter-modal four-wave mixing in an elliptical-core few-mode fiber supporting three non-degenerate modes, we experimentally demonstrate schemes for generating orbital-angular-momentum (OAM)-entangled photon pairs with high mode purity and for achieving highly mode-selective frequency conversion of beams in OAM-compatible (LP [...] Read more.
Utilizing the phase-matching conditions of inter-modal four-wave mixing in an elliptical-core few-mode fiber supporting three non-degenerate modes, we experimentally demonstrate schemes for generating orbital-angular-momentum (OAM)-entangled photon pairs with high mode purity and for achieving highly mode-selective frequency conversion of beams in OAM-compatible (LP11a, LP11b) mode basis. These techniques expand the toolbox for using OAM modes in both classical and quantum communications and information processing. Full article
(This article belongs to the Special Issue Progress in OAM Beams: Recent Innovations and Future Perspectives)
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16 pages, 323 KB  
Article
Derivation of Meson Masses in SU(3) and SU(4) Extended Linear Sigma Model at Finite Temperature
by Abdel Nasser Tawfik, Azar I. Ahmadov, Alexandra Friesen, Yuriy Kalinovsky, Alexey Aparin and Mahmoud Hanafy
Particles 2025, 8(1), 9; https://doi.org/10.3390/particles8010009 - 22 Jan 2025
Cited by 1 | Viewed by 2699
Abstract
The present study focused on the mesonic potential contributions to the Lagrangian of the extended linear sigma model (eLSM) for scalar and pseudoscalar meson fields across various quark flavors. The present study focused on the low-energy phenomenology associated with quantum chromodynamics (QCD), where [...] Read more.
The present study focused on the mesonic potential contributions to the Lagrangian of the extended linear sigma model (eLSM) for scalar and pseudoscalar meson fields across various quark flavors. The present study focused on the low-energy phenomenology associated with quantum chromodynamics (QCD), where mesons and their interactions serve as the pertinent degrees of freedom, rather than the fundamental constituents of quarks and gluons. Given that SU(4) configurations are completely based on SU(3) configurations, the possible relationships between meson states in SU(3) and those in SU(4) were explored at finite temperature. Meson states, which are defined by distinct chiral properties, were grouped according to their orbital angular momentum J, parity P, and charge conjugation C. Consequently, this organization yielded scalar mesons with quantum numbers JPC=0++, pseudoscalar mesons with JPC=0+, vector mesons with JPC=1, and axial vector mesons with JPC=1++. We accomplished the derivation of analytical expressions for a total of seventeen noncharmed meson states and twenty-nine charmed meson states so that an analytical comparison of the noncharmed and charmed meson states at different temperatures became feasible and the SU(3) and SU(4) configurations could be analytically estimated. Full article
(This article belongs to the Special Issue Infinite and Finite Nuclear Matter (INFINUM))
12 pages, 11831 KB  
Article
Revisiting the Two-Dimensional Hydrogen Atom: Azimuthal Wavefunctions for Illustrating s, p, d, and f Orbitals
by Phatlada Sathongpaen, Suphawich Jindanate and Attapon Amthong
Symmetry 2024, 16(9), 1163; https://doi.org/10.3390/sym16091163 - 5 Sep 2024
Cited by 2 | Viewed by 5907
Abstract
The two-dimensional (2D) hydrogen atom is a fundamental atomic model that is important for various technologies based on 2D materials. Here, the atomic model is revisited to enhance understanding of the hydrogen wavefunctions. Unlike in previous studies, we propose an alternative expression of [...] Read more.
The two-dimensional (2D) hydrogen atom is a fundamental atomic model that is important for various technologies based on 2D materials. Here, the atomic model is revisited to enhance understanding of the hydrogen wavefunctions. Unlike in previous studies, we propose an alternative expression of azimuthal wavefunctions, which are the eigenstates of the square of angular momentum and exhibit rotational symmetry. Remarkably, our expression leads to the rotation and oscillation along the azimuthal direction of the probability densities, which do not appear in the conventional wavefunctions. These behaviors are validated by the numerical results obtained through the 2D finite difference approach. Variation in oscillator strengths due to the rotation of wavefunctions is observed in our proposed 2D hydrogen wavefunctions, whereas those due to the conventional wavefunctions remain constant. More importantly, the proposed wavefunctions’ advantage is illustrating the orbital shapes of the planar hydrogen states, whose orientation is labeled here using Cartesian representation for the first time. This study can be applied to visualize the orbital characteristics of the states in quantum confinement with a radial potential. Full article
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