Influence of Electric Field on the Properties of the Weak-coupling Bound Polaron in the Quantum Well
Huiye Qiu
Abstract
Huiye Qiu
Abstract
This paper investigates the influence of the electric field on the properties of the weak-coupling bound polaron in the infinite depth quantum well by using the linear-combination operator and unitary transformation method and derives the dependence of the ground state energy of the bound polaron on the electric field,the well-width,coulomb bound potential and the vibration frequency.The numerical calculations illustrate that the ground state energy of the bound polaron increases with the increase of the electric field,and it decreases with the increase of the well width;the smaller the well width,the more apparent the quantum size effect.
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This paper investigates the influence of the electric field on the properties of the weak-coupling bound polaron in the infinite depth quantum well by using the linear-combination operator and unitary transformation method and derives the dependence of the ground state energy of the bound polaron on the electric field,the well-width,coulomb bound potential and the vibration frequency.The numerical calculations illustrate that the ground state energy of the bound polaron increases with the increase of the electric field,and it decreases with the increase of the well width;the smaller the well width,the more apparent the quantum size effect.
Key concepts: Polaron, Unitary transformation, Ground state, Physics, Electric field, Bound state, Coulomb, Field (mathematics)