Finite and Continuous Symmetries in Quantum-Mechanical Theory
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".
Deadline for manuscript submissions: closed (30 October 2025) | Viewed by 1032
Special Issue Editor
Interests: symmetry of molecular spectra; potential algebras; form-invariance of Sturm-Liouville equations; exceptional orthogonal polynomials; shape-invariant potentials
Special Issue Information
Dear Colleagues,
Starting from the celebrated works of Fock and Wigner on the symmetry of atomic and molecular spectra, the group theory played a crucial role in understanding degeneracies in energy lines and selection rules for transitions between energy levels. The Special Issue is designed to trace the modern developments stimulated by the aforementioned pioneering articles.
Papers that are submitted to this Special Issue are expected to cover nonoverlapping approaches using irreducible representations of finite and continuous groups for the symmetry analysis of quantum-mechanical systems. Authors are especially encouraged to submit articles dealing with the invariance of Hamiltonians of a free molecule (or a molecule rotating in a crystal field) under feasible permutation rotations and the related quantum-mechanical clustering of rovibrational energy levels.
Another broad topic covered by the issue is the application of Lie groups in quantum mechanics, including the use of potential algebras in the scattering theory, spectra-generating algebras, the algebraic treatment of shape-invariant potentials, and superintegrable systems in N-dimensional spaces.
Dr. Gregory Natanson
Guest Editor
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 250 words) can be sent to the Editorial Office for assessment.
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. Symmetry is an international peer-reviewed open access monthly 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 2400 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
- Longuet-Higgins group
- potential algebra
- shape-invariant potentials
- spectra-generating algebras
- superintegrability
- Lie algebras
- representations of finite groups
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