Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry

Abstract

The kinetic energy operator with position-dependent-mass in cylindrical coordinates is obtained. The separability of the corresponding Schrödinger equation is discussed within radial cylindrical mass settings. Azimuthal symmetry is assumed and spectral signatures of various z-dependent interaction potentials (Hermitian and non-Hermitian PT-symmetric) are reported.

16 pages

References in corpus (21)

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Cited by in corpus (10)

• 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
• Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures
• Isochronous $n$-dimensional nonlinear PDM-oscillators: linearizability, invariance and exact solvability
• Landau Quantization for an electric quadrupole moment of Position-Dependent Mass Quantum Particles interacting with Electromagnetic fields
• Position-dependent mass charged particles in magnetic and Aharonov-Bohm flux fields: separability, exact and conditionally exact solvability
• PDM-charged particles in PD-magnetic plus Aharonov-Bohm flux fields: unconfined "almost-quasi-free" and confined in a Yukawa plus Kratzer exact solvability
• Classical and quantum quasi-free position dependent mass; Pöschl-Teller and ordering-ambiguity
• A quasi-free position-dependent-mass jump and self-scattering correspondence
• A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario