A convergent iterative solution of the quantum double-well potential

DOI10.1006/aphy.2001.6187zbMath0994.81040arXivquant-ph/0105142OpenAlexW3098322409MaRDI QIDQ5956414

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Publication date: 20 February 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0105142

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (7)

A near-exact self-consistent scheme for stationary states ⋮ Generalized Langer correction and the exactness of WKB for all conventional potentials ⋮ A new proof for the convergent iterative solution of the degenerate quantum double-well potential and its generalization. ⋮ 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 ⋮ New ways to solve the Schrödinger equation ⋮ Convergent iterative solutions for a Sombrero-shaped potential in any space dimension and arbitrary angular momentum

Cites Work

• Unnamed Item
• 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

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