Published May 12, 2008 | Version v1
Journal article

Infinite quantum well: A coherent state approach

  • 1. Universite Paris Est-Institut Gaspard Monge (IGM-LabInfo), 5 Bd. Descartes, Champs-sur-Marne, 77454 Marne-la-Vallee Cedex 2 (France)
  • 2. Laboratoire Astroparticules et Cosmologie, Batiment Condorcet, 10, rue Alice Domon et Leonie Duquet, 75205 Paris Cedex 13 (France)
  • 3. Universite Paris Diderot-Paris7, Batiment des Grands Moulins, 75205 Paris Cedex 13 (France)

Description

A new family of 2-component vector-valued coherent states for the quantum particle motion in an infinite square well potential is presented. They allow a consistent quantization of the classical phase space and observables for a particle in this potential. We then study the resulting position and (well-defined) momentum operators. We also consider their mean values in coherent states and their quantum dispersions

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physleta.2008.02.034

Additional details

Identifiers

DOI
10.1016/j.physleta.2008.02.034;
arXiv
arXiv:0802.3551v1;
PII
S0375-9601(08)00273-9;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
372
Journal Issue
20
Journal Page Range
p. 3597-3607
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40044024
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANNIHILATION OPERATORS; DISPERSIONS; EIGENSTATES; PHASE SPACE; QUANTIZATION; QUANTUM WELLS; SIMULATION; SQUARE-WELL POTENTIAL; VECTORS
Descriptors DEC
MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; NANOSTRUCTURES; NUCLEAR POTENTIAL; POTENTIALS; QUANTUM OPERATORS; SPACE; TENSORS

Optional Information

Copyright
Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.