Effects of electromagnetic field and asymmetric Gaussian potential on low energy state energy of bound polaron in quantum well

Abstract

In this article, effects of electromagnetic field and asymmetric Gaussian potential (AGP) on the bound polaron’s low energy state in quantum well are explored theoretically by the Lee-Low-Pines unitary transformation and Pekar type variational method. The variation of the ground state energy and the first excited state energy of the polaron with the Coulomb bound potential (CBP) strength at different electron-phonon coupling (EPC) constants, electric field (EF) strengths, heights and ranges of the AGP and magnetic field adjustment lengths are obtained. Our numerical results indicate that the polaron’s low energy state depends on the EPC constant, the EF strength, the AGP’s height and range and the CBP strength.