A new approach to the eigenvalue problem in quantum mechanics: convergent perturbation theory for rising potentials

DOI10.1088/0305-4470/14/7/020zbMath0463.65082OpenAlexW2067251269MaRDI QIDQ3914370

Alexander~V. Turbiner

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1088/0305-4470/14/7/020

zbMATH Keywords

eigenvalueSchrödinger equationeigenfunctioniteration procedure

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. I. Generalities, cubic anharmonicity case ⋮ Non-equilibrium skewness, market crises, and option pricing: non-linear Langevin model of markets with supersymmetry

This page was built for publication: A new approach to the eigenvalue problem in quantum mechanics: convergent perturbation theory for rising potentials