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Journals
Quantum Reports
Special Issues
100 Years of Quantum Mechanics
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100 Years of Quantum Mechanics

A special issue of Quantum Reports (ISSN 2624-960X).

Deadline for manuscript submissions: 31 March 2025 | Viewed by 5036

Special Issue Editors

Prof. Dr. Viktor Dodonov

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Guest Editor
Instituto de Física e Centro Internacional de Física, Universidade de Brasília, Caixa Postal 04455, Brasília 70910-900, DF, Brazil
Interests: quantum physics; cavity electrodynamics; quantum closed and open systems with time-dependent parameters; uncertainty relations in quantum mechanics; nonclassical states of light in quantum optics
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Margarita A. Man’ko

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Guest Editor
Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow 119991, Russia
Interests: quantum phase transition; quantum evolutions; quantum mechanics
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Salomon S Mizrahi

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Guest Editor
Physics Department, Federal University of São Carlos, Via Washington Luiz km 235, São Carlos 13565, SP, Brazil
Interests: quantum information; atom-radiation interaction; measurement theory; photocounting; quantum computing
Prof. Dr. Luis L. Sánchez-Soto

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Guest Editor
Departamento de Óptica, Facultad de Fisica, Universidad Complutense, 28040 Madrid, Spain
Interests: quantum optics; quantum information; polarization; tomography; discrete quantum systems; phase-space method
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Soon, all physicists will celebrate 100 years of one of the most beautiful parts of physics, quantum mechanics. It was mainly developed during the years 1925–1927 in the works of such great scientists as Heisenberg, Born, Pauli, Dirac, Schrödinger, Landau, von Neumann, Bohr, and many others. Remember that the famous PhD thesis “Recherches sur la théorie des Quanta” was defended by Louis De Broglie in November 1924. It is remarkable that this area of physics, despite its honorary age, is still healthy and developing!

This can be easily seen in the topics of interest for the suggested Special Issue:

  • Uncertainty relations;
  • Quantum mechanics in phase spaces;
  • Quantum tomography;
  • Dynamics of open quantum systems in the presence of dissipation and decoherence;
  • Dynamics of quantum entanglement;
  • Quantum–classical transitions;
  • Quantum control of evolution;
  • Dynamical quantum invariants;
  • New exact and approximate solutions in quantum mechanics;
  • Path integral methods in quantum mechanics;
  • Non-Hermitian quantum mechanics;
  • Non-linear generalizations of quantum mechanics;
  • Quantum mechanics in finite-dimensional Hilbert spaces;
  • History of quantum mechanics;
  • Interpretations of quantum mechanics;
  • Tests of quantum mechanics.

Prof. Dr. Viktor Dodonov
Prof. Dr. Margarita A. Man’ko
Prof. Dr. Salomon S Mizrahi
Prof. Dr. Luis L. Sánchez-Soto
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Quantum Reports is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • quantum mechanics
  • quantum entanglement
  • quantum system
  • Schrödinger equation
  • quantum control

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Further information on MDPI's Special Issue polices can be found here.

Published Papers (3 papers)

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Research

6 pages, 243 KiB  
Article
Spin Helicity and the Disproof of Bell’s Theorem
by Bryan Sanctuary
Quantum Rep. 2024, 6(3), 436-441; https://doi.org/10.3390/quantum6030028 - 21 Aug 2024
Viewed by 934
Abstract
Under the quaternion group, Q8, spin helicity emerges as a crucial element of the reality of spin and is complementary to its polarization. We show that the correlation in EPR coincidence experiments is conserved upon separation from a singlet state and [...] Read more.
Under the quaternion group, Q8, spin helicity emerges as a crucial element of the reality of spin and is complementary to its polarization. We show that the correlation in EPR coincidence experiments is conserved upon separation from a singlet state and distributed between its polarization and coherence. Including helicity accounts for the violation of Bell’s Inequalities without non-locality, and disproves Bell’s Theorem by a counterexample. Full article
(This article belongs to the Special Issue 100 Years of Quantum Mechanics)
17 pages, 849 KiB  
Article
EPR Correlations Using Quaternion Spin
by Bryan Sanctuary
Quantum Rep. 2024, 6(3), 409-425; https://doi.org/10.3390/quantum6030026 - 13 Aug 2024
Cited by 1 | Viewed by 1549
Abstract
We present a statistical simulation replicating the correlation observed in EPR coincidence experiments without needing non-local connectivity. We define spin coherence as a spin attribute that complements polarization by being anti-symmetric and generating helicity. Point particle spin becomes structured with two orthogonal magnetic [...] Read more.
We present a statistical simulation replicating the correlation observed in EPR coincidence experiments without needing non-local connectivity. We define spin coherence as a spin attribute that complements polarization by being anti-symmetric and generating helicity. Point particle spin becomes structured with two orthogonal magnetic moments, each with a spin of 12—these moments couple in free flight to create a spin-1 boson. Depending on its orientation in the field, when it encounters a filter, it either decouples into two independent fermion spins of 12, or it remains a boson and precedes without decoupling. The only variable in this study is the angle that orients a spin on the Bloch sphere, first identified in the 1920s. There are no hidden variables. The new features introduced in this work result from changing the spin symmetry from SU(2) to the quaternion group, Q8, which complexifies the Dirac field. The transition from a free-flight boson to a measured fermion causes the observed violation of Bell’s Inequalities and resolves the EPR paradox. Full article
(This article belongs to the Special Issue 100 Years of Quantum Mechanics)
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26 pages, 1741 KiB  
Article
Eliminating the Second-Order Time Dependence from the Time Dependent Schrödinger Equation Using Recursive Fourier Transforms
by Sky Nelson-Isaacs
Quantum Rep. 2024, 6(3), 323-348; https://doi.org/10.3390/quantum6030021 - 25 Jun 2024
Viewed by 1242
Abstract
A strategy is developed for writing the time-dependent Schrödinger Equation (TDSE), and more generally the Dyson Series, as a convolution equation using recursive Fourier transforms, thereby decoupling the second-order integral from the first without using the time ordering operator. The energy distribution is [...] Read more.
A strategy is developed for writing the time-dependent Schrödinger Equation (TDSE), and more generally the Dyson Series, as a convolution equation using recursive Fourier transforms, thereby decoupling the second-order integral from the first without using the time ordering operator. The energy distribution is calculated for a number of standard perturbation theory examples at first- and second-order. Possible applications include characterization of photonic spectra for bosonic sampling and four-wave mixing in quantum computation and Bardeen tunneling amplitude in quantum mechanics. Full article
(This article belongs to the Special Issue 100 Years of Quantum Mechanics)
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