arXiv subjects

Hassan Hassanabadi

Publications and source records attributed to Hassan Hassanabadi.

75 records · Page 5Linked to original sources

arXiv2015

Scattering state of Klein-Gordon Particles by q-parameter hyperbolic Poschl-Teller potential

The one-dimensional Klein-Gordon equation for equal vector and scalar q-parameter hyperbolic Poschl-Teller potential is solved in terms of the hypergeometric functions. We calculate in details the solutions of the scattering and bound states. By virtue of the conditions of equation of continuity of the wave functions, we obtained explicit expressions for the reflection and transmission coefficients and energy equation for the bound state solutions

math-ph↗

arXiv2015

Exact solutions of the (2+1) -dimensional Dirac oscillator under a magnetic field in the presence of a minimal length in the noncommutative phase-space

We consider a two-dimensional Dirac oscillator in the presence of magnetic field in noncommutative phase space in the framework of relativistic quantum mechanics with minimal length. The problem in question is identified with a Poschl-Teller potential. The eigenvalues are found and the corresponding wave functions are calculated in terms of hypergeometric functions.

quant-ph↗

arXiv2014

Harmonic Oscillator in Relativistic Minimal Length Quantum Mechanics

We consider the Dirac equation with a generalized uncertainty principle in the presence of the Harmonic interaction and an external magnetic field. By doing the study in the momentum space, the problem solved in an exact analytical manner and the eigenfucntions reported in terms of the hypergeometric functions.

quant-ph↗