2011Unpublished venueRequires access

The strong-coupling bound magnetopolaron in a quantum well

Weili Chen, Xiumin Jia, Jing‐Lin Xiao

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Abstract

In this paper, the properties of the strong coupling bound magnetopolaron in quantum well are studied by using the linear combination operator and the unitary transformation method. The variational relation of the ground-state energy of the bound magnetopolaron in a quantum well with the Coulomb bound potential, the vibration frequency, magnetic field and the well-width is derived. The results of numerical calculation show that the ground-state energy is different because of different values of the Coulomb bound potential, the vibration frequency, magnetic field and the well-width, it will decrease with increasing magnetic field, and it will increase with increasing the Coulomb bound potential and the well-width; when magnetic field and the Coulomb bound potential take a certain value, the ground-state energy will increase with increasing the well-width.

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What this paper is about

In this paper, the properties of the strong coupling bound magnetopolaron in quantum well are studied by using the linear combination operator and the unitary transformation method. The variational relation of the ground-state energy of the bound magnetopolaron in a quantum well with the Coulomb bound potential, the vibration frequency, magnetic field and the well-width is derived. The results of numerical calculation show that the ground-state energy is different because of different values of the Coulomb bound potential, the vibration frequency, magnetic field and the well-width, it will decrease with increasing magnetic field, and it will increase with increasing the Coulomb bound potential and the well-width; when magnetic field and the Coulomb bound potential take a certain value, the ground-state energy will increase with increasing the well-width.

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Available abstract

In this paper, the properties of the strong coupling bound magnetopolaron in quantum well are studied by using the linear combination operator and the unitary transformation method. The variational relation of the ground-state energy of the bound magnetopolaron in a quantum well with the Coulomb bound potential, the vibration frequency, magnetic field and the well-width is derived. The results of numerical calculation show that the ground-state energy is different because of different values of the Coulomb bound potential, the vibration frequency, magnetic field and the well-width, it will decrease with increasing magnetic field, and it will increase with increasing the Coulomb bound potential and the well-width; when magnetic field and the Coulomb bound potential take a certain value, the ground-state energy will increase with increasing the well-width.

Key concepts: Unitary transformation, Ground state, Physics, Coulomb, Bound state, Magnetic field, Upper and lower bounds, Coupling (piping)

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