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Symmetry, Volume 16, Issue 3

March 2024 - 126 articles

Cover Story: Single-shot factorization uses a general ansatz for the factorization of a single-particle Hamiltonian; here, we use a form based on confluent hypergeometric functions. By adjusting the parameters in the factorization to ensure normalizable wavefunctions, all energy eigenvalues and wavefunctions are determined at once. The approach is equivalent to Natanzon’s approach, which instead works directly with the confluent hypergeometric differential equation. This approach is halfway between the conventional Schrödinger equation approach and the Schrödinger factorization chain. Here, we depict the two bound states of a Natanzon potential that can be solved exactly with this approach. The dashed lines indicate the energies of each state, and the black line is the potential (which asymptotes to zero for large positive x). View this paper
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Articles (126)

  • Article
  • Open Access
1,940 Views
16 Pages

21 March 2024

The unique topic of allocating and scheduling tasks on a single machine in a multitasking environment is the main emphasis of this research, which also takes into account the effects of worsening maintenance and job-dependent aging effects. In this s...

  • Article
  • Open Access
2 Citations
1,454 Views
13 Pages

21 March 2024

Loop subdivision is a significant surface scheme with wide applications in fields like computer graphics and wavelet. As a type of stationary scheme, Loop subdivision cannot adjust the limit surface directly. In this paper, we present a new way to so...

  • Article
  • Open Access
8 Citations
4,296 Views
22 Pages

21 March 2024

Money laundering is an illicit activity that seeks to conceal the nature and origins of criminal proceeds, posing a substantial threat to the national economy, the political order, and social stability. To scientifically and reasonably predict money...

  • Article
  • Open Access
1 Citations
1,877 Views
11 Pages

Local Muscle Oxygenation Differences between Lower Limbs according to Muscle Mass in Breath-Hold Divers

  • Ognjen Uljević,
  • Dario Vrdoljak,
  • Ivan Drviš,
  • Nikola Foretić and
  • Željko Dujić

21 March 2024

Oxidative potential and anaerobic capacity could be influential to the training regimen and performance of breath-hold diving (BHD) athletes. Therefore, this study aimed to determine the differences in local muscle oxygenation between the lower limbs...

  • Article
  • Open Access
1 Citations
3,313 Views
33 Pages

Mathematical Modeling of Robotic Locomotion Systems

  • Erik Prada,
  • Ľubica Miková,
  • Ivan Virgala,
  • Michal Kelemen,
  • Peter Ján Sinčák and
  • Roman Mykhailyshyn

20 March 2024

This article deals with the presentation of an alternative approach that uses methods of geometric mechanics, which allow one to see into the geometrical structure of the equations and can be useful not only for modeling but also during the design of...

  • Article
  • Open Access
1 Citations
1,541 Views
22 Pages

20 March 2024

A graphoid is a mixed multigraph with multiple directed and/or undirected edges, loops, and semiedges. A covering projection of graphoids is an onto mapping between two graphoids such that at each vertex, the mapping restricts to a local bijection on...

  • Article
  • Open Access
1,683 Views
22 Pages

20 March 2024

The inherent stochasticity of electric operation vehicle (EOV) charging poses challenges to the stability and efficiency of regional power distribution networks. Existing charging behavior decision-making models often prioritize revenue consideration...

  • Article
  • Open Access
2 Citations
1,631 Views
12 Pages

19 March 2024

Quaternions and split quaternions are used in quantum physics, computer science, and in many areas of mathematics. In this paper, we define and study two new classes of split quaternions, namely balancing split quaternions and Lucas-balancing split q...

  • Article
  • Open Access
3 Citations
1,399 Views
14 Pages

On Generalized t-Transformation of Free Convolution

  • Ayed. R. A. Alanzi,
  • Raouf Fakhfakh and
  • Fatimah Alshahrani

19 March 2024

A notion of generalized (two-parameterized) t-transformation of free convolution, also called (t=(a,b))-deformed free convolution, is introduced for a∈R and b>0. In this article, some results of t-deformed free convolution are given within th...

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Symmetry - ISSN 2073-8994