CONSTRUCTIVE QUANTUM MECHANICS AND CALCULATIONS WITH FINITE GROUPS

Capa

Citar

Texto integral

Acesso aberto Acesso aberto
Acesso é fechado Acesso está concedido
Acesso é fechado Somente assinantes

Resumo

Application of computer algebra and computational group theory to the study of problems arising in constructive quantum mechanics is considered.

Sobre autores

V. Kornyak

Joint Institute for Nuclear Research

Email: vkornyak@gmail.com
Dubna, Russia

Bibliografia

  1. Kornyak V.V. Quantum models based on finite groups. IOP Conf. Series: Journal of Physics: Conf. Series 965, 012023, 2018. arXiv:1803.00408 [physics.gen-ph]
  2. Kornyak V.V. Modeling Quantum Behavior in the Framework of Permutation Groups. EPJ Web of Conferences 173, 01007, 2018. arXiv:1709.01831 [quant-ph]
  3. Banks T. Finite Deformations of Quantum Mechanics. arXiv:2001.07662 [hep-th], 20 p., 2020.
  4. ’t Hooft G. The Cellular Automaton Interpretation of Quantum Mechanics. Fundamental Theories of Physics 185. 296 p. Springer, 2016.
  5. Morris S.A. Pontryagin Duality and the Structure of Locally Compact Abelian Groups. London Mathematical Society Lecture Note Series. Cambridge University Press, 1977.
  6. Weyl H. The Theory of Groups and Quantum Mechanics. 448 p., NY, Dover Publications, 1931.
  7. Schwinger J. Unitary Operator Bases. Proc Natl Acad Sci USA, 46, No. 4, pр. 570–579, 1960.
  8. Bengtsson I. and Zyczkowski K. Geometry of Quantum States: An Introduction to Quantum Entanglement. Cambridge University Press, 2006.
  9. Waldron S.F.D. An Introduction to Finite Tight Frames. Applied and Numerical Harmonic Analysis. Birkhauser/Springer, New York, 2018.
  10. Vourdas A. Finite and Profinite Quantum Systems. Applied and Numerical Harmonic Analysis. Springer, Berlin, 2017.
  11. Mullen G.L. and Panario D. Handbook of Finite Fields. Discrete Mathematics and Its Applications. CRC Press, Taylor & Francis Group, 1033 p., 2013.

Arquivos suplementares

Arquivos suplementares
Ação
1. JATS XML

Declaração de direitos autorais © Russian Academy of Sciences, 2025

Согласие на обработку персональных данных

 

Используя сайт https://journals.rcsi.science, я (далее – «Пользователь» или «Субъект персональных данных») даю согласие на обработку персональных данных на этом сайте (текст Согласия) и на обработку персональных данных с помощью сервиса «Яндекс.Метрика» (текст Согласия).