The energy levels of the Schrodinger equation for various types of potentials using a renormalized method

DOI10.1088/0305-4470/24/13/019zbMath0762.34045OpenAlexW2059913517MaRDI QIDQ3982801

M. R. M. Witwit

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/24/13/019

zbMATH Keywords

tableseigenvaluesSchrödinger operatorsone-dimensionalperturbative method

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (8)

The quantum harmonic oscillator on the sphere and the hyperbolic plane ⋮ A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour ⋮ Application of the quantum mechanical hyperviral theorems to even-power series potentials ⋮ Energy levels of a three-dimensional anharmonic oscillator with sextic perturbation ⋮ New approximating method applied to central potentials ⋮ Inner product theory calculations for some rational potentials in two-dimensional space ⋮ Algebraic and numerical manipulation of the even-power-series central potentials by means of the hypervirial theorems technique ⋮ Computer algebra and large scale perturbation theory

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