The Gaussian integration method of the Schrödinger equation and quantum 1-D theory of low gain free electron laser

DOI10.1063/1.5040925zbMath1414.81087OpenAlexW2933853597MaRDI QIDQ5379375

Hesham Fares, Giuseppe Dattoli

Publication date: 28 May 2019

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

Full work available at URL: https://doi.org/10.1063/1.5040925

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Coherent states (81R30) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (1)

The quantum effects in slow-wave free-electron lasers operating in the low-gain regime

Cites Work

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• What defines the quantum regime of the free-electron laser?
• Lie Algebraic Solution of Linear Differential Equations
• On Crofton-Glaisher type relations and derivation of generating functions for Hermite polynomials including the multi-index case

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