New ways to solve the Schrödinger equation

DOI10.1016/J.AOP.2004.08.002zbMath1071.81028arXivquant-ph/0407207OpenAlexW2034347274MaRDI QIDQ1772397

Xianqiang Yang

Publication date: 18 April 2005

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0407207

zbMATH Keywords

convergenceSchrödinger equationiterative solution

Mathematics Subject Classification ID

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 (3)

Convergent iterative solutions of Schrödinger equation for a generalized double well potential ⋮ A new approach to solve the low-lying states of the Schrödinger equation ⋮ Convergent iterative solutions for a Sombrero-shaped potential in any space dimension and arbitrary angular momentum

Cites Work

• Unnamed Item
• A new proof for the convergent iterative solution of the degenerate quantum double-well potential and its generalization.
• Instanton--anti-instanton interaction and asymptotics of the perturbation theory expansion for the double well oscillator
• A new method to derive low-lying \(N\)-dimensional quantum wave functions by quadratures along a single trajectory
• A convergent iterative solution of the quantum double-well potential

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