Exact propagator for an electron in a quadratic saddle-point potential and a magnetic field

doi:10.1088/1674-1056/20/4/040304

中国物理B ›› 2011, Vol. 20 ›› Issue (4): 40304-040304.doi: 10.1088/1674-1056/20/4/040304

Exact propagator for an electron in a quadratic saddle-point potential and a magnetic field

杨涛, 翟智远, 潘孝胤

Department of Physics and Institute of Modern Physics, Ningbo University, Ningbo 315211, China

收稿日期:2010-09-22 修回日期:2010-10-28 出版日期:2011-04-15 发布日期:2011-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10805029), the Zhejiang Natural Science Foundation, China (Grant No. R6090717), and the K.C. Wong Magna Foundation of Ningbo University, China.

Exact propagator for an electron in a quadratic saddle-point potential and a magnetic field

Yang Tao(杨涛), Zhai Zhi-Yuan(翟智远), and Pan Xiao-Yin(潘孝胤)^†

Department of Physics and Institute of Modern Physics, Ningbo University, Ningbo 315211, China

Received:2010-09-22 Revised:2010-10-28 Online:2011-04-15 Published:2011-04-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10805029), the Zhejiang Natural Science Foundation, China (Grant No. R6090717), and the K.C. Wong Magna Foundation of Ningbo University, China.

摘要/Abstract

摘要： We study the propagator for an electron moving in a two-dimensional (2D) quadratic saddle-point potential, in the presence of a perpendicular uniform magnetic field. A closed-form expression for the propagator is derived using the Feynmann path integrals.

Abstract: We study the propagator for an electron moving in a two-dimensional (2D) quadratic saddle-point potential, in the presence of a perpendicular uniform magnetic field. A closed-form expression for the propagator is derived using the Feynmann path integrals.

Key words: Feynmann path integrals, propagator, quadratic saddle-point potential

中图分类号: (Quantum mechanics)

03.65.-w

73.40.Gk (Tunneling) 73.20.Mf (Collective excitations (including excitons, polarons, plasmons and other charge-density excitations))

杨涛, 翟智远, 潘孝胤. Exact propagator for an electron in a quadratic saddle-point potential and a magnetic field[J]. 中国物理B, 2011, 20(4): 40304-040304.

Yang Tao(杨涛), Zhai Zhi-Yuan(翟智远), and Pan Xiao-Yin(潘孝胤) . Exact propagator for an electron in a quadratic saddle-point potential and a magnetic field[J]. Chin. Phys. B, 2011, 20(4): 40304-040304.

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Exact propagator for an electron in a quadratic saddle-point potential and a magnetic field

Exact propagator for an electron in a quadratic saddle-point potential and a magnetic field

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