Solution of the time-dependent Schrödinger equation employing a basis of explicit discrete-coordinate eigenfunctions: Spherical and azimuthal symmetry, adiabaticity, and multiphoton excitation of a rotating Morse oscillator

DOI10.1016/0010-4655(91)90275-PzbMath0850.65346MaRDI QIDQ1911739

F. J. Lin, J. T. Muckerman

Publication date: 17 July 1996

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

Monte CarloHamiltonianeigenfunctionsSchrödinger equationcollocationwave functionnonlinear problemrotating Morse oscillatorGauss-Markov quadrature

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05)

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Cites Work

• A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics
• The fast Hankel transform as a tool in the solution of the time dependent Schrödinger equation
• [https://portal.mardi4nfdi.de/wiki/Publication:5342124 Gaussian Quadrature Formulae for � 1 0 -ln(x)f(x) dx]
• Construction of Gauss-Christoffel Quadrature Formulas
• On the Construction of Gaussian Quadrature Rules from Modified Moments
• Space Quantization in a Gyrating Magnetic Field
• Point Transformations in Quantum Mechanics
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