A new method to derive low-lying \(N\)-dimensional quantum wave functions by quadratures along a single trajectory

DOI10.1006/aphy.2000.6102zbMath0978.81020arXivquant-ph/0005039OpenAlexW3121266678MaRDI QIDQ5931231

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Publication date: 24 April 2001

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0005039

zbMATH Keywords

Green functionsStark effect in closed formW.K.B. approximation in one dimension

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (4)

A new proof for the convergent iterative solution of the degenerate quantum double-well potential and its generalization. ⋮ A new approach to solve the low-lying states of the Schrödinger equation ⋮ New ways to solve the Schrödinger equation ⋮ A convergent iterative solution of the quantum double-well potential

Cites Work

• Instanton--anti-instanton interaction and asymptotics of the perturbation theory expansion for the double well oscillator
• Nuclear Quadrupole Coupling in Polar Molecules
• The exact calculation of long-range forces between atoms by perturbation theory

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