Published July 23, 2010 | Version v1
Journal article

A new class of coherent states with Meixner-Pollaczek polynomials for the Gol'dman-Krivchenkov Hamiltonian

  • 1. Department of Mathematics, Faculty of Sciences and Technics (M'Ghila), PO Box 523, Sultan Moulay Slimane University, CP. 23 000, Beni Mellal (Morocco)

Description

A class of generalized coherent states with a new type of the identity resolution is constructed by replacing the labeling parameter zn/√(n!) of the canonical coherent states by Meixner-Pollaczek polynomials with specific parameters. The constructed coherent states belong to the state Hilbert space of the Gol'dman-Krivchenkov Hamiltonian.

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/43/29/295201

Additional details

Identifiers

DOI
10.1088/1751-8113/43/29/295201;
PII
S1751-8113(10)38453-8;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
43
Journal Issue
29
Journal Page Range
[10 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42037053
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ANNIHILATION OPERATORS; EIGENSTATES; HAMILTONIANS; HILBERT SPACE; POLYNOMIALS
Descriptors DEC
BANACH SPACE; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; QUANTUM OPERATORS; SPACE