Quantum monodromy in the spectrum of Schrödinger equation with a decatic potential

DOI10.1023/A:1013273600656zbMath0992.81015MaRDI QIDQ5959892

Shi-Hai Dong

Publication date: 11 April 2002

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

numerical computationdouble-well shapelattice with dislocationsquadruple-well shapeSchrödinger equation in two dimensionsspectrum of energiestriple-well shape

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Software, source code, etc. for problems pertaining to quantum theory (81-04) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications to the sciences (65Z05)

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Exact solution to the Schrödinger’s equation with pseudo-Gaussian potential ⋮ Energy spectra of the Schrödinger equation and the differential quadrature method: improvement of the solution using particle swarm optimization ⋮ Evaluation of the bound states of a quantum system via the differential quadrature method: extended to coupled differential equations ⋮ Exact solution of Schrödinger equation for Pseudoharmonic potential ⋮ On some polynomial potentials in d-dimensions ⋮ Energy spectra of the Schrödinger equation and the differential quadrature method ⋮ Some first excited energy levels for the generalized Killingbeck potential with the differential quadratic method ⋮ Octic anharmonic oscillators: Perturbed coherent states and the classical limit

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