Algebraic and numerical manipulation of the even-power-series central potentials by means of the hypervirial theorems technique
DOI10.1016/S0010-4655(97)00053-2zbMath0930.65124OpenAlexW1987402264MaRDI QIDQ1301545
Publication date: 12 September 1999
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0010-4655(97)00053-2
numerical resultseigenfunctionsSchrödinger equationHellmann-Feynman theoremexpectation valueskinetic energy operatoreven-power-series central potentialshypervirial theoremsnon-relativistic energy eigenvalues
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) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Cites Work
- On the Schrodinger equation for the gaussian potential -A exp(-λr2)
- The energy levels of the Schrodinger equation for various types of potentials using a renormalized method
- Canonical perturbation expansions to large order from classical hypervirial and Hellmann–Feynman theorems
- The Jacobi eigenfunctions and the quantum mechanical hypervirial theorems method for bound-state problems
- Forces in Molecules
- On the Schrodinger equation for the interaction x2+λx2/(1+gx2)
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