Excited-state energy eigenvalue and wave-function evaluation of the Gaussian symmetric double-well potential problem via numerical shooting method. I

DOI10.1007/s10910-012-9996-7zbMath1253.81005OpenAlexW2028973819MaRDI QIDQ454305

Sutee Boonchui, Artit Hutem

Publication date: 1 October 2012

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

Full work available at URL: https://doi.org/10.1007/s10910-012-9996-7

zbMATH Keywords

perturbation theorySchrödinger equationbound stateexcited-state energyGaussian double-wellnumerical shooting method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (2)

Periodic solutions for Hamiltonian equation associated with Gaussian potential ⋮ Evaluation of correlation functions and wave-functions of the Gaussian random potentials by numerical shooting method

Cites Work

• Two computer programs for solving the Schrödinger equation for bound-state eigenvalues and eigenfunctions using the Fourier grid Hamiltonian method
• Ground-state energy eigenvalue calculation of the quantum mechanical well V(x)=\frac{1}{2}kx^{2}+\lambda {x^{4}} via analytical transfer matrix method
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