Bivariate raising and lowering differential operators for eigenfunctions of a 2D Fourier transform

DOI10.1088/1751-8113/48/7/075201zbMATH Open1408.42005OpenAlexW1976750003MaRDI QIDQ5177779

Natig Atakishiyev, Kurt Bernardo Wolf, Iván Area, Eduardo Godoy

Publication date: 6 March 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1c9b45a186fa11768cb15b91a2a0a5b54736fabe

zbMATH Keywords

bivariate Hermite polynomialstwo-dimensional harmonic oscillatorbivariate Fourier transformeigenfunctions of the bivariate Fourier transformraising and lowering partial differential operators

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Eigenvalue problems for linear operators (47A75) General theory of partial differential operators (47F05) Harmonic analysis and PDEs (42B37)

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Generalized complex Hermite polynomials with associated nonlinear coherent states

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