We show that supersymmetry is a simple but powerful tool to exactly solve quantum mechanics problems.Here, the supersymmetric approach is used to analyse a quantum system with periodic Pschl–Teller potential, and t...We show that supersymmetry is a simple but powerful tool to exactly solve quantum mechanics problems.Here, the supersymmetric approach is used to analyse a quantum system with periodic Pschl–Teller potential, and to find out the exact energy spectra and the corresponding band structure.展开更多
The one-dimensional Dirac particle for equal scalar and vector asymmetric q-parameter hyperbolic PschlTeller potential (qHPT) is solved in terms of hypergeometric functions. The scattering and bound states are obtai...The one-dimensional Dirac particle for equal scalar and vector asymmetric q-parameter hyperbolic PschlTeller potential (qHPT) is solved in terms of hypergeometric functions. The scattering and bound states are obtained by using the properties of the equation of continuity of the wave functions. We calculat in details the transmission and reflection coefficients.展开更多
文摘We show that supersymmetry is a simple but powerful tool to exactly solve quantum mechanics problems.Here, the supersymmetric approach is used to analyse a quantum system with periodic Pschl–Teller potential, and to find out the exact energy spectra and the corresponding band structure.
文摘The one-dimensional Dirac particle for equal scalar and vector asymmetric q-parameter hyperbolic PschlTeller potential (qHPT) is solved in terms of hypergeometric functions. The scattering and bound states are obtained by using the properties of the equation of continuity of the wave functions. We calculat in details the transmission and reflection coefficients.