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A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
Pouria Pedram
In a recent paper, we presented a nonperturbative higher order generalized uncertainty principle (GUP) that is consistent with various proposals of quantum gravity such as string t…
Generalized Uncertainty Principle and the Ramsauer-Townsend Effect
J. Vahedi, Kourosh Nozari, P. Pedram
The scattering cross section of electrons in noble gas atoms exhibits a minimum value at electron energies of approximately 1eV. This is the Ramsauer-Townsend effect. In this lette…
One-dimensional hydrogen atom with minimal length uncertainty and maximal momentum
Pouria Pedram
We present exact energy eigenvalues and eigenfunctions of the one-dimensional hydrogen atom in the framework of the Generalized (Gravitational) Uncertainty Principle (GUP). This fo…
Coherent States in Gravitational Quantum Mechanics
Pouria Pedram
We present the coherent states of the harmonic oscillator in the framework of the generalized (gravitational) uncertainty principle (GUP). This form of GUP is consistent with vario…
A note on the one-dimensional hydrogen atom with minimal length uncertainty
Pouria Pedram
We present exact energy spectrum and eigenfunctions of the one-dimensional hydrogen atom in the presence of the minimal length uncertainty. By requiring the self-adjointness proper…
Minimal Length and the Quantum Bouncer: A Nonperturbative Study
Pouria Pedram
We present the energy eigenvalues of a quantum bouncer in the framework of the Generalized (Gravitational) Uncertainty Principle (GUP) via quantum mechanical and semiclassical sche…