Analytic calculation of energies and wave functions of the quartic and pure quartic oscillators

DOI10.1063/1.2209769zbMath1112.81032arXivphysics/0603165OpenAlexW3101688281MaRDI QIDQ3441873

Frank Tabakin, V. B. Mandelzweig, Evgeny Z. Liverts

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/physics/0603165

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) 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 (9)

Energy spectrum for a modified Rosen-Morse potential solved by proper quantization rule and its thermodynamic properties ⋮ Accurate analytic presentation of solution for the spiked harmonic oscillator problem ⋮ Accurate analytic presentation of solution of the Schrödinger equation with arbitrary physical potential: excited states ⋮ Analytical computation of amplification of coupling in relativistic equations with Yukawa potential ⋮ Exact solutions of a quartic potential ⋮ Proper quantization rule as a good candidate to semiclassical quantization rules ⋮ Qiang–Dong proper quantization rule and its applications to exactly solvable quantum systems ⋮ Quantum superexponential oscillator ⋮ Asymptotics of eigenvalue sums when some turning points are complex

Cites Work

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