Published February 8, 2010
| Version v1
Journal article
Another set of infinitely many exceptional (Xl) Laguerre polynomials
Creators
- 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.2009.12.062Additional 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.