Published June 2021 | Version v1
Journal article Metadata-only

A Two-Body Problem for a Class of Coupling Potentials with Harmonic Oscillator Interaction in Noncommutative Phase Space: Path Integral Approach

Creators

  • 1. Laboratoire LRPPS, Université de Ouargla, 30000, Ouargla (Algeria)
  • 2. Laboratoire L.S.D.C, Faculté des Sciences Exactes, Université de Oum El Bouaghi, 04000, Oum El Bouaghi (Algeria)
  • 3. Laboratoire de Physique Théorique, Université de Jijel, BP 98, 18000, Ouled Aissa, Jijel (Algeria)

Description

Recently Gnatenko et al. (J Phys Stud 21:4002, 2017) have treated the two-body problem with harmonic oscillator interaction in noncommutative phase space. According to the path integral formulation, we generalize this process by adding the coupling potentials (κP(a)⋅P(b) and κ~X(a)⋅X(b)) together with a Harmonic oscillator interaction in noncommutative phase space. Moreover, in order to convert this problem into a one-particle system, we have added a third condition along with what this paper provided. As well as, when κ and κ~ equal to zero exact expressions for the energy levels of a two-particle system with harmonic oscillator interaction in noncommutative phase space have been found. (author)

Additional details

Identifiers

DOI
10.1007/s00601-021-01602-7;

Publishing Information

Journal Title
Few-Body Systems
Journal Volume
62
Journal Issue
2
Journal Page Range
p. 17
ISSN
0177-7963
CODEN
FBSYEQ

INIS

Country of Publication
Austria
Country of Input or Organization
Austria
INIS RN
52095909
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
COMMUTATION RELATIONS; ENERGY LEVELS; HARMONIC OSCILLATORS; HARMONICS; INTERACTIONS; PATH INTEGRALS; PHASE SPACE; POTENTIALS; TWO-BODY PROBLEM
Descriptors DEC
INTEGRALS; MANY-BODY PROBLEM; MATHEMATICAL SPACE; OSCILLATIONS; SPACE