Generalized Uncertainty principle and momentum-dependent effective mass Schrodinger equation
arXiv:2001.10239 · doi:10.1088/1742-6596/1540/1/012004
Abstract
We show in this paper that the basic representations of position and momentum in a quantum mechanical system, that are guided by a generalized uncertainty principle and lead to a corresponding one-parameter eigenvalue problem, can be interpreted in terms of an extended Schrodinger equation embodying momentum-dependent mass. Some simple consequences are pointed out.
arXiv comment9 pages
References in corpus (17)
- Supersymmetry and Quantum Mechanics
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- A Generalized Uncertainty Principle in Quantum Gravity
- Minimal Length Scale Scenarios for Quantum Gravity
- Exact solvability of potentials with spatially dependent effective masses
- Review on Generalized Uncertainty Principle
- A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials
- Minimal length in Quantum Mechanics and non-Hermitian Hamiltonian systems
- Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe
- The quantum harmonic oscillator on the sphere and the hyperbolic plane
- Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
- Generalised uncertainty relations from superpositions of geometries
- Pseudo-Hermiticity and some consequences of a generalized quantum condition
- Analytic results in the position-dependent mass Schrodinger problem
- Exact quantization of a PT-symmetric (reversible) Liénard-type nonlinear oscillator
- Quantum gravity simulation by non-paraxial nonlinear optics
- Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners