Spectral Analysis of Certain Schrödinger Operators

Spectral Analysis of Certain Schrödinger Operators

The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators. The spectrum and the spectral measures are discussed in each case and the corresponding eigenfunction expan...

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Bibliographic Details
Main Authors: Mourad E.H. Ismail, Erik Koelink
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-09-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
J-matrix method
discrete quantum mechanics
diagonalization
tridiagonalization
Laguere polynomials
Meixner polynomials
ultraspherical polynomials
continuous dual Hahn polynomials
ultraspherical (Gegenbauer) polynomials
Al-Salam-Chihara polynomials
birth and death process polynomials
shape invariance
zeros
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.061

Internet

http://dx.doi.org/10.3842/SIGMA.2012.061

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