Published December 2001
| Version v1
Journal article
Propagator for the Chebyshev q object
Creators
- 1. Department of Physics, State University of New York at Albany (United States)
- 2. Fachbereich Physik, Martin-Luther Universitaet Halle-Wittenberg (Germany)
Description
We propose an alternative role of the harmonic oscillator algebra. Observing that the q-deformed harmonic oscillator algebra defines the Chebyshev q object, we show that the q-free particle and the pulsed oscillator are special cases of the Chebyshev q object, characterized by a common deformation parameter q and reduced to a usual free particle as q tends to unity. For the deformed free particle, q is a real number, whereas for the pulsed oscillator it belongs to S1. Then, we derive the propagator for the Chebyshev q object, from which we obtain the propagators for the deformed free particle and the pulsed oscillator
Additional details
Identifiers
- DOI
- 10.1134/1.1432923;
Publishing Information
- Journal Title
- Physics of Atomic Nuclei
- Journal Volume
- 64
- Journal Issue
- 12
- Journal Page Range
- p. 2185-2189
- ISSN
- 1063-7788
- CODEN
- PANUEO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35071500
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- ALGEBRA; DEFORMED NUCLEI; HARMONIC OSCILLATORS; PARTICLES; PROPAGATOR; QUANTUM FIELD THEORY
- Descriptors DEC
- FIELD THEORIES; MATHEMATICS; NUCLEI
Optional Information
- Notes
- Translated from Yadernaya Fizika, ISSN 0044-0027, 64, 2274-2278 (No. 12, 2001); (c) 2001 MAIK ''Nauka / Interperiodica''.