Position-dependent-mass: cylindrical coordinates, separability, exact solvability and \mathcal {PT} -symmetry

DOI10.1088/1751-8113/43/38/385310zbMath1198.81097arXiv1007.2094OpenAlexW3101142654MaRDI QIDQ3161114

Omar Mustafa

Publication date: 11 October 2010

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

Full work available at URL: https://arxiv.org/abs/1007.2094

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) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

Torsion effects on a relativistic position-dependent mass system ⋮ PDM creation and annihilation operators of the harmonic oscillators and the emergence of an alternative PDM-Hamiltonian ⋮ A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario ⋮ Position-Dependent Mass Systems: Classical and Quantum Pictures ⋮ Landau quantization for an electric quadrupole moment of position-dependent mass quantum particles interacting with electromagnetic fields ⋮ AUXILIARY QUANTIZATION CONSTRAINTS ON THE VON ROOS ORDERING-AMBIGUITY AT ZERO BINDING ENERGIES; AZIMUTHALLY SYMMETRIZED CYLINDRICAL COORDINATES

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