Published February 8, 2010 | Version v1
Journal article

Another set of infinitely many exceptional (Xl) Laguerre polynomials

  • 1. Department of Physics, Shinshu University, Matsumoto 390-8621 (Japan)
  • 2. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)

Description

We present a new set of infinitely many shape invariant potentials and the corresponding exceptional (Xl) Laguerre polynomials. They are to supplement the recently derived two sets of infinitely many shape invariant thus exactly solvable potentials in one-dimensional quantum mechanics and the corresponding Xl Laguerre and Jacobi polynomials [S. Odake, R. Sasaki, Phys. Lett. B 679 (2009) 414]. The new Xl Laguerre polynomials and the potentials are obtained by a simple limiting procedure from the known Xl Jacobi polynomials and the potentials, whereas the known Xl Laguerre polynomials and the potentials are obtained in the same manner from the mirror image of the known Xl Jacobi polynomials and the potentials.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physletb.2009.12.062

Additional details

Identifiers

DOI
10.1016/j.physletb.2009.12.062;
arXiv
arXiv:0911.3442v1;
PII
S0370-2693(10)00015-8;

Publishing Information

Journal Title
Physics Letters. Section B
Journal Volume
684
Journal Issue
2-3
Journal Page Range
p. 173-176
ISSN
0370-2693
CODEN
PYLBAJ

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41090033
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EXACT SOLUTIONS; LAGUERRE POLYNOMIALS; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS; QUANTUM MECHANICS; SHAPE
Descriptors DEC
FUNCTIONS; MATHEMATICAL SOLUTIONS; MECHANICS; POLYNOMIALS

Optional Information

Copyright
Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.