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Title of Journal: Int J Theor Phys

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Abbravation: International Journal of Theoretical Physics

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Springer US

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10.1002/chin.201243176

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1572-9575

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Magnetic Flux Quantization of the Landau Problem

Authors: Jianhua Wang Kang Li Shuming Long Yi Yuan
Publish Date: 2014/04/12
Volume: 53, Issue: 8, Pages: 2796-2802
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Abstract

Landau problem has a very important application in modern physics in which twodimensional electron gas system and quantum Hall effect are outstanding In this paper first we review the solution of the Pauli equation then using the single electron wave function we calculate moving area expectations of the ideal 2dimensional electron gas system and the per unit area’s degeneracy of the electron gas system As a result how to calculate the magnetic flux of the electron gas system is given It shows that the magnetic flux of 2dimensional electron gas system in magnetic field is quantized and magnetic flux quantization results from the quantization of the moving area expectations of electron gas systemThis work is supported by the National Natural Science Foundation of China 11175053 11147181 and the Scientific research project in shaanxi province department of education 12JK0960 The authors are also grateful to the support from The Abdus Salam International Centre for Theoretical PhysicsTrieste Italy

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