Published 1994
| Version v1
Miscellaneous
A simple difference realization of the Heisenberg q-algebra
Creators
Description
A realization of the Heisenberg q-algebra whose generators are first-order difference operators on the full real line is discussed. The eigenfunctions of the corresponding q-oscillator Hamiltonian are given explicitly in terms of the q-1 Hermite polynomials. The non-uniqueness of the measure for these q-oscillator is also studied. 15 refs
Additional details
Publishing Information
- Publisher
- JINR.
- Imprint Place
- Dubna (Russian Federation)
- Imprint Title
- Proceedings of the international workshop on symmetry methods in physics in memory of professor Ya.A. Smorodinsky. Volume 1
- Imprint Pagination
- 318 p.
- Journal Page Range
- p. 9-15.
- Report number
- JINR-E--2-94-347
Conference
- Title
- International workshop on symmetry methods in physics in memory of professor Ya.A.Smorodinsky.
- Original Conference Title
- Mezhdunarodnyj seminar o metodakh simmetrii v fizike v pamyat' professora Ya.A.Smorodinskogo
- Dates
- 6-10 Jul 1993.
- Place
- Dubna (Russian Federation).
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 27023280
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ALGEBRA; EIGENFUNCTIONS; HAMILTONIANS; HARMONIC OSCILLATORS; HEISENBERG PICTURE; HERMITE POLYNOMIALS; UNCERTAINTY PRINCIPLE
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS; POLYNOMIALS; QUANTUM OPERATORS