Wigner's Problem and Alternative Commutation Relations for Quantum Mechanics-Reference-Cited by-同舟云学术

Wigner's Problem and Alternative Commutation Relations for Quantum Mechanics

Published:1997-04-20 Issue:10 Volume:11 Page:1281-1296
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Man'ko V. I.¹,Marmo G.²,Zaccaria F.²,Sudarshan E. C. G.³

Affiliation:

1. Osservatorio Astronomico di Capodimonte, Via Moiariello, 16, 80131 Napoli, Italy

2. Dipartimento di Scienze Fisiche, Universitá di Napoli "Federico II" and Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Mostra d'Oltremare, Pad.19 – 80125 Napoli, Italy

3. Physics Department, Center for Particle Physics, University of Texas, Austin, Texas 78712, USA

Abstract

It is shown that for quantum systems the vector field associated with the equations of motion may admit alternative Hamiltonian descriptions, both in the Schrödinger and Heisenberg picture. We illustrate these ambiguities in terms of simple examples.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979297000666

Cited by 39 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A new product on 2 × 2 matrices;Journal of Physics: Conference Series;2020-08-01

2. Generalized uncertainty principle corrections to the simple harmonic oscillator in phase space;Canadian Journal of Physics;2016-01

3. Realization of associative products in terms of Moyal and tomographic symbols;Physica Scripta;2013-02-11

4. Non-Hermitian oscillator and R-deformed Heisenberg algebra;Journal of Mathematical Physics;2013-01

5. Wigner Quantization and Lie Superalgebra Representations;Springer Proceedings in Mathematics & Statistics;2013