Symmetry/Asymmetry in Quantum Mechanics

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 31 January 2025 | Viewed by 537

Special Issue Editor


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Guest Editor
Department of Physics, Tianjin University, Tianjin 300350, China
Interests: quantum physics

Special Issue Information

Dear Colleague,

Symmetry plays a pivotal role in both classical and quantum mechanics. This property is typically associated with conservation equations and conserved quantum numbers, such as angular momentum conservation. Symmetry breaking is sometimes intricately linked with phase transitions, as observed in phenomena like deconfined phase transitions. Therefore, studying symmetry-related issues in classical and particularly quantum mechanics is crucial.

In data processing, symmetry also holds significance in constructing deep neural networks. Leveraging symmetry can notably enhance the performance of these deep neural networks.

The Special Issue covers topics concerning symmetry conservation, symmetry breaking, and the conservation of quantum numbers. Additionally, it explores the applications of symmetry in matrix operations and deep learning networks, as well as in data processing.

Dr. Baoyi Chen
Guest Editor

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Keywords

  • symmetry breaking
  • conservation equation
  • phase transition
  • deep learning
  • conservation in statistics
  • quantum mechanics

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Published Papers (1 paper)

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Research

9 pages, 1269 KiB  
Article
A Study of the Neutron Skin of Nuclei with Dileptons in Nuclear Collisions
by Ke Xu and Baoyi Chen
Symmetry 2024, 16(9), 1195; https://doi.org/10.3390/sym16091195 - 11 Sep 2024
Viewed by 385
Abstract
We studied the photoproduction of dileptons from strong electromagnetic fields generated by the nucleus in relativistic heavy-ion collisions. The production of dileptons is calculated based on the Equivalent Photon Approximation (EPA) method, which depends on the strength of the electromagnetic fields and the [...] Read more.
We studied the photoproduction of dileptons from strong electromagnetic fields generated by the nucleus in relativistic heavy-ion collisions. The production of dileptons is calculated based on the Equivalent Photon Approximation (EPA) method, which depends on the strength of the electromagnetic fields and the density of protons in the nucleus. With the EPA method, we construct the connections between dilepton photoproduction and the electromagnetic form factors in the nucleus. Finally, the nuclear proton densities can be determined with the dilepton photoproduction, which is employed to extract the neutron skin in the nucleus. Our calculations indicate that the dilepton photoproduction varies evidently with different proton densities in the nucleus, suggesting a deeper symmetry underlying the connections between proton density (or the neutron skin) and the dilepton photoproduction. This offers a new way to study the neutron skin in the nucleus. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry in Quantum Mechanics)
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