A new approach to solve the low-lying states of the Schrödinger equation

DOI10.1007/S10955-005-5476-9zbMath1089.81017arXivquant-ph/0501054OpenAlexW3105509449MaRDI QIDQ2492831

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Publication date: 14 June 2006

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0501054

zbMATH Keywords

hierarchy theoremconvergent iterative solutionelectrostatic analoglow-lying states of Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Strong interaction, including quantum chromodynamics (81V05) Electromagnetic interaction; quantum electrodynamics (81V10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02)

Related Items (1)

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.
• New ways to solve the Schrödinger equation
• Instanton--anti-instanton interaction and asymptotics of the perturbation theory expansion for the double well oscillator
• Divergence of Perturbation Theory in Quantum Electrodynamics
• 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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