Position-dependent effective mass Schrödinger equations for PT-symmetric potentials

DOI10.1007/s10910-006-9206-6zbMath1196.81105OpenAlexW2082196343MaRDI QIDQ937594

Chun-Sheng Jia, Liang-Zhong Yi, Yu Sun

Publication date: 15 August 2008

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

Full work available at URL: https://doi.org/10.1007/s10910-006-9206-6

zbMATH Keywords

Schrödinger equationPT symmetryposition-dependent effective mass

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Molecular physics (81V55) Isospectrality (58J53) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (5)

Classical trajectories as solutions of the Schrödinger equation ⋮ A treatment of the torsional wave equation with an internal rotation constant depending on a torsional angle via point canonical transformation ⋮ Relativistic confinement of neutral fermions with partially exactly solvable and exactly solvable PT-symmetric potentials in the presence of position-dependent mass ⋮ Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators ⋮ On the construction of coherent states of position dependent mass Schrödinger equation endowed with effective potential

Cites Work

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• Pseudo-Hermiticity and some consequences of a generalized quantum condition
• -symmetric effective mass Schrödinger equations

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