Analytic solutions of the Schrödinger equation for the modified quartic oscillator

DOI10.1007/BF02435720zbMath0901.34097OpenAlexW1994137900MaRDI QIDQ1388190

D. Massart

Publication date: 11 June 1998

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02435720

zbMATH Keywords

Schrödinger equationanalytic solutionsquartic anharmonic oscillator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (3)

Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method ⋮ Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups ⋮ Octic anharmonic oscillators: Perturbed coherent states and the classical limit

Cites Work

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• A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator
• Exact solutions for radial Schrödinger equations
• A simple iterative solution of the Schrodinger equation in matrix representation form
• The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations

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