CONSTRUCTIVE QUANTUM MECHANICS AND CALCULATIONS WITH FINITE GROUPS
- 作者: Kornyak V.V.1
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隶属关系:
- Joint Institute for Nuclear Research
- 期: 编号 1 (2025)
- 页面: 9-20
- 栏目: COMPUTER ALGEBRA
- URL: https://journals.rcsi.science/0132-3474/article/view/287075
- DOI: https://doi.org/10.31857/S0132347425010028
- EDN: https://elibrary.ru/DXSGII
- ID: 287075
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参考
- 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]
- Kornyak V.V. Modeling Quantum Behavior in the Framework of Permutation Groups. EPJ Web of Conferences 173, 01007, 2018. arXiv:1709.01831 [quant-ph]
- Banks T. Finite Deformations of Quantum Mechanics. arXiv:2001.07662 [hep-th], 20 p., 2020.
- ’t Hooft G. The Cellular Automaton Interpretation of Quantum Mechanics. Fundamental Theories of Physics 185. 296 p. Springer, 2016.
- Morris S.A. Pontryagin Duality and the Structure of Locally Compact Abelian Groups. London Mathematical Society Lecture Note Series. Cambridge University Press, 1977.
- Weyl H. The Theory of Groups and Quantum Mechanics. 448 p., NY, Dover Publications, 1931.
- Schwinger J. Unitary Operator Bases. Proc Natl Acad Sci USA, 46, No. 4, pр. 570–579, 1960.
- Bengtsson I. and Zyczkowski K. Geometry of Quantum States: An Introduction to Quantum Entanglement. Cambridge University Press, 2006.
- Waldron S.F.D. An Introduction to Finite Tight Frames. Applied and Numerical Harmonic Analysis. Birkhauser/Springer, New York, 2018.
- Vourdas A. Finite and Profinite Quantum Systems. Applied and Numerical Harmonic Analysis. Springer, Berlin, 2017.
- Mullen G.L. and Panario D. Handbook of Finite Fields. Discrete Mathematics and Its Applications. CRC Press, Taylor & Francis Group, 1033 p., 2013.
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