PDM-charged particles in PD-magnetic plus Aharonov-Bohm flux fields: unconfined "almost-quasi-free" and confined in a Yukawa plus Kratzer exact solvability

Abstract

Using azimuthally symmetrized cylindrical coordinates, we consider some position-dependent mass (PDM) charged particles moving in position-dependent (PD) magnetic and Aharonov-Bohm flux fields. We focus our attention on PDM-charged particles (i.e., the PDM is only radially dependent) moving in an inverse power-law-type radial PD-magnetic fields. Under such settings, we consider two almost-quasi-free PDM-charged particles (i.e., no interaction potential). Both yield exactly solvable Schrödinger equations of Coulombic nature but with different spectroscopic structures. Moreover, we consider a Yukawa-type PDM-charged particle moving not only in the vicinity of the PD-magnetic and Aharonov-Bohm flux fields but also in the vicinity of a Yukawa plus a Kratzer type potential force field. For this particular case, we use the Nikiforov-Uvarov (NU) method to come out with exact analytical eigenvalues and eigenfunctions. Which, in turn, recover those of the almost-quasi-free PDM-charged particle. Energy levels crossings are also reported.

arXiv comment15 pages, 9 figures, to appear in the Chinese J. Phys

References in corpus (28)

• Solutions of the nonrelativistic wave equation with position-dependent effective mass
• Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
• Exact solvability of potentials with spatially dependent effective masses
• Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
• A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials
• Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
• Scattering in abrupt heterostructures using a position dependent mass Hamiltonian
• Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe
• A position-dependent mass harmonic oscillator and deformed space
• A quantum pseudodot system with two-dimensional pseudoharmonic potential under external magnetic and AB flux fields
• Position-dependent mass, finite-gap systems, and supersymmetry
• Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
• Position-dependent mass Lagrangians: nonlocal transformations, Euler-Lagrange invariance and exact solvability
• Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields
• Approximate energy states and thermal properties of a particle with position-dependent mass in external magnetic fields
• Solving the Schrodinger Equation for a Charged Particle in a Magnetic Field using the Finite Difference Time Domain Method
• Ordering ambiguity versus representation
• Comment on "Position-dependent effective mass Dirac equations with PT- symmetric and non - PT- symmetric potentials" [J. Phys. A: Math. Gen. 39 (2006) 11877--11887]
• Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures
• A new approach to the exact solutions of the effective mass Schrodinger equation
• Comment on 'Two-dimensional position-dependent massive particles in the presence of magnetic fields"
• Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures
• Position-dependent mass charged particles in magnetic and Aharonov-Bohm flux fields: separability, exact and conditionally exact solvability
• Quantum behavior of a charged particle in an axial magnetic field
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• Classical and quantum quasi-free position dependent mass; Pöschl-Teller and ordering-ambiguity
• Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry
• A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario

Cited by in corpus (6)

• PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory
• 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
• PDM Klein-Gordon particles in Gödel-type Som-Raychaudhuri cosmic string spacetime background
• PDM Klein-Gordon particles in Som-Raychaudhuri cosmic string spacetime with space-like dislocation and a non-uniform magnetic field: spacetime associated degeneracies, vorticity-energy, and charge-energy correlations
• Klein-Gordon particles in Gödel-type Som-Raychaudhuri cosmic string spacetime and the phenomenon of spacetime associated degeneracies