Polyanalytic relativistic second Bargmann transforms

DOI10.1063/1.4919544zbMath1328.81129arXiv1212.5977OpenAlexW1905563303MaRDI QIDQ5253091

Zouhaïr Mouayn

Publication date: 4 June 2015

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

Full work available at URL: https://arxiv.org/abs/1212.5977

zbMATH Keywords

hypergeometric functionBargmann transformlight speed

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Coherent states (81R30) Applications of hypergeometric functions (33C90)

Related Items

Riemann-Hilbert problems for Hardy space of meta-analytic functions on the unit disc

Cites Work

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• On the Landau levels on the hyperbolic plane
• Brownian motion on the hyperbolic plane and Selberg trace formula
• Coherent states, wavelets and their generalizations
• Husimi's Q-function of the isotonic oscillator in a generalized negative binomial states representation
• Generalized second Bargmann transforms associated with the hyperbolic Landau levels on the Poincaré disk
• On Appell's double hypergeometric functions
• Theorems on bilinear generating functions
• On a Hilbert space of analytic functions and an associated integral transform part I
• The relativistic linear singular oscillator
• Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator
• Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory
• Coherent states attached to Landau levels on the Poincaré disc