An alternative approach to energy eigenvalue problems of anharmonic potentials

DOI10.1155/2014/537563zbMath1303.81083OpenAlexW2141593546WikidataQ59046008 ScholiaQ59046008MaRDI QIDQ471639

Halide Koklu, Okan Ozer

Publication date: 17 November 2014

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

Full work available at URL: https://doi.org/10.1155/2014/537563

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic expansions of solutions to PDEs (35C20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Uses Software

• Mathematica

Cites Work

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• Quasi-exactly-solvable problems and sl(2) algebra
• Application of the asymptotic Taylor expansion method to bistable potentials
• Bound-state spectra for supersymmetric quantum mechanics
• On the application of supersymmetric WKB (Wentzel–Kramers–Brillouin) method to quasi-exactly solvable problems
• The double-well potential in quantum mechanics: a simple, numerically exact formulation
• Remarks on the solution of the position-dependent mass Schrödinger equation
• Ground-state energy eigenvalue calculation of the quantum mechanical well V(x)=\frac{1}{2}kx^{2}+\lambda {x^{4}} via analytical transfer matrix method
• On the αx²+ βx⁴interaction
• Relative convergences of the WKB and SWKB approximations
• Regularization of the WKB integrals
• Shifted 1/N expansion and exact solutions for the potential V(r)=-Z/r+gr+λr²
• Quantum tunneling for the asymmetric double-well potential at finite energy
• Comment on ``Bounces and the calculation of quantum tunnelling effects for the asymmetric double-well potential

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