THE PROPERTIES OF GROUND STATE OF POLARON IN QUANTUM DISK IN FINITE DEPTH POTENTIAL WELL

The properties of bound polaron in quantum disk in finite depth potential well is studied by expanding the potential function as plane waves,LLP unitary transformation and variation method.Numerical results indicate that ground state energy of bound polaron increases with increasing the width or height of the finite depth potential well,because probability of electron penetrating potential barrier of finite depth potential well will decrease when the width or height of potential barrier increases,so that electronic energy and energy of bound polaron increase.Oppositely,ground state energy of bound polaron decreases with increasing effective confine length and radius of quantum disk,because the more effective confine length is,the weaker electron is bounded and the smaller potential energy is,so that energy of bound polaron decreases.The phonon effect leads to ground state energy of polaron lower than electronic ground state energy.The Coulomb potential leads to ground state enrgy of bound polaron lower than ground state energy of polaron.