A near-exact self-consistent scheme for stationary states

DOI10.1016/S0375-9601(03)00863-6zbMath1073.81552MaRDI QIDQ1396602

D. Massart

Publication date: 6 July 2003

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationpolynomial potentialsquasi-degenerate states

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

Highly precise solutions of the one-dimensional Schrödinger equation with an arbitrary potential

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
• Application of an improved variational method to the \(d\)-dimensional generalized anharmonic oscillator
• Superconvergent perturbation theory for an anharmonic oscillator
• Studies on algebraic methods to solve linear eigenvalue problems: generalised anharmonic oscillators
• An accurate method for numerical calculations in quantum mechanics
• Solving the anharmonic oscillator problem with theSU(2) group
• Successive Approximations by the Rayleigh-Ritz Variation Method
• Improving the renormalization group approach to the quantum-mechanical double well potential
• A convergent iterative solution of the quantum double-well potential

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