- PII
- S3034584725010028-1
- DOI
- 10.7868/S3034584725010028
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume / Issue number 1
- Pages
- 9-20
- Abstract
- Application of computer algebra and computational group theory to the study of problems arising in constructive quantum mechanics is considered.
- Keywords
- конструктивная квантовая механика вычисления с конечными группами
- Date of publication
- 03.02.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 79
References
- 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.
