Published May 5, 2006 | Version v1
Journal article Metadata-only

An exact solution of the one-dimensional Dirac oscillator in the presence of minimal lengths

Creators

  • 1. Department of Physics and Laboratory of Theoretical Physics (LPTh), Faculty of Sciences, University of Jijel, BP 98, Ouled Aissa, 18000 Jijel (Algeria)

Description

Using the momentum space representation, we determine the energy eigenvalues, eigenfunctions and the high-temperature thermodynamic properties of the Dirac oscillator in one dimension in the presence of a minimal length given by (ΔX)min = h-bar√β, where β is the deformation parameter of the modified commutation relation [X, P] = iℎ(1 + βP2). The obtained results suggest that the effect of the minimal length could be detected in ultrarelativistic heavy-ion collisions

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/39/5125/a6_18_025.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/0305-4470/39/5125/a6_18_025.pdf;
DOI
10.1088/0305-4470/39/18/025;
PII
S0305-4470(06)17199-1;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
39
Journal Issue
18
Journal Page Range
p. 5125-5134
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37051125
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DIRAC EQUATION; EIGENFUNCTIONS; EIGENVALUES; EXACT SOLUTIONS; HEAVY ION REACTIONS; LENGTH; ONE-DIMENSIONAL CALCULATIONS; OSCILLATORS; RELATIVISTIC RANGE; THERMODYNAMIC PROPERTIES
Descriptors DEC
DIFFERENTIAL EQUATIONS; DIMENSIONS; ELECTRONIC EQUIPMENT; ENERGY RANGE; EQUATIONS; EQUIPMENT; FIELD EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; NUCLEAR REACTIONS; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES; WAVE EQUATIONS