Published September 28, 2006
| Version v1
Journal article
Exact solution in the Heisenberg picture and annihilation-creation operators
Creators
- 1. Department of Physics, Shinshu University, Matsumoto 390-8621 (Japan)
- 2. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)
Description
The annihilation-creation operators of the harmonic oscillator, the basic and most important tools in quantum physics, are generalised to most solvable quantum mechanical systems of single degree of freedom including the so-called 'discrete' quantum mechanics. They admit exact Heisenberg operator solution. We present unified definition of the annihilation-creation operators (a(+/-)) as the positive/negative frequency parts of the exact Heisenberg operator solution
Additional details
Identifiers
- DOI
- 10.1016/j.physletb.2006.08.017;
- arXiv
- arXiv:quant-ph/0605221v2;
- PII
- S0370-2693(06)01010-0;
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 641
- Journal Issue
- 1
- Journal Page Range
- p. 112-117
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38064574
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANNIHILATION OPERATORS; CREATION OPERATORS; DEGREES OF FREEDOM; EXACT SOLUTIONS; HARMONIC OSCILLATORS; HEISENBERG PICTURE; QUANTUM MECHANICS
- Descriptors DEC
- MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MECHANICS; QUANTUM OPERATORS
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.