Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians

Abstract

Articles you may be interested inA squeeze-like operator approach to position-dependent mass in quantum mechanics Solutions to position-dependent mass quantum mechanics for a new class of hyperbolic potentials

κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass

“…2 Further studies in noncommuting quantum spaces led to a Schrödinger equation with a position-dependent effective mass (PDM). 3 Along the last decades, the PDM systems have attracted attention because of their wide range of applicability in semiconductor theory, [4][5][6][7] nonlinear optics, 8 quantum liquids, 9,10 inversion potential for NH 3 in density functional theory, 11 particle physics, 12 many body theory, 13 molecular physics, 14 Wigner functions, 15 relativistic quantum mechanics, 16 superintegrable systems, 17 nuclear physics, 18 magnetic monopoles, 19,20 astrophysics, 21 nonlinear oscillations, [22][23][24][25][26][27][28][29][30][31] factorization methods and supersymmetry, [32][33][34][35][36] coherent states, [37][38][39] etc.…”

Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass

“…When γ increases the center of the trajectory is shifted to the left. In according to Ehrenfest's theorem, the expected values of the superpotential and pseudo-momentum satisfy equations of motion identical to the classical analogues (28),…”

“…In addition, it is also shown the coherent states for the harmonic oscillator satisfy the minimization of the Heisenberg's uncertainty principle. 16 Complementary, another important issue in quantum mechanics is the concept of position-dependent mass (PDM), which has attracted the attention along the decades due its wide applicability in: semiconductor heterostructures, [17][18][19][20][21][22][23][24] nonlinear optics, 25 quantum liquids, 26 many-body theory, 27 molecular physics, 28 Wigner functions, 29 quantum information, 30 relativistic quantum mechanics, 31 Dirac equation, 32 superintegrable systems, 33 nuclear physics, 34 magnetic monopoles, 35 Landau quantization, 36 factorization and supersymmetry methods, [37][38][39][40][41] coherent states, [42][43][44][45] etc.…”

$κ$-Deformed quantum and classical mechanics for a system with position-dependent effective mass

“…2 Further studies in noncommuting quantum spaces led to a Schrödinger equation with a position-dependent effective mass (PDM). 3 Along the last decades the PDM systems have attracted attention because of their wide range of applicability in semiconductor theory, [4][5][6][7] nonlinear optics, 8 quantum liquids, 9,10 inversion potential for NH 3 in density functional theory, 11 particle physics, 12 many body theory, 13 molecular physics, 14 Wigner functions, 15 relativistic quantum mechanics, 16 superintegrable systems, 17 nuclear physics, 18 magnetic monopoles, 19,20 astrophysics, 21 nonlinear oscillations, [22][23][24][25][26][27][28][29][30][31] factorization methods and supersymmetry, [32][33][34][35][36] coherent states, [37][38][39] etc.…”