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

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

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.

Keywords: Feynmann path integrals propagator quadratic saddle-point potential

Received: 22 September 2010
Revised: 28 October 2010
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	73.40.Gk	(Tunneling)
	73.20.Mf	(Collective excitations (including excitons, polarons, plasmons and other charge-density excitations))

Fund: 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.

Cite this article:

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 2011 Chin. Phys. B 20 040304

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

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