Variational Sturmian approximation: A nonperturbative method of solving time-independent Schrödinger equation

DOI10.1063/1.1385374zbMath1036.81009arXivquant-ph/0105047OpenAlexW3098393138MaRDI QIDQ2774971

Ali Mostafazadeh

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0105047

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (2)

Development of the perturbation theory using polynomial solutions ⋮ Energy levels of one-dimensional anharmonic oscillator via neural networks

Cites Work

• Application of Sturmian functions to the Schrödinger three-body problem: Elastic \(e^ +\)-H scattering
• Weakly convergent expansions of a plane wave and their use in Fourier integrals
• The Dirac-Coulomb Sturmian functions in theZ= 0 limit: properties and applications to series expansions of the Dirac Green function and the Dirac plane wave
• Precise determination of the energy levels of the anharmonic oscillator from the quantization of the angle variable
• Exact quantization condition for anharmonic oscillators (in one dimension)

This page was built for publication: Variational Sturmian approximation: A nonperturbative method of solving time-independent Schrödinger equation