Evolution and Berry Phase of High-spin Particles in a Rotating Magnetic Field

Journal of South China University of Technology(Natural Science Edition) ›› 2004, Vol. 32 ›› Issue (7): 74-77.

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Evolution and Berry Phase of High-spin Particles in a Rotating Magnetic Field

Hu Lian¹ Yan Yu-zhen²

1．Dept．of PhysicsSouth China Normal Univ．Guangzhou510631GuangdongChina；
2．Dept．of PhysicsJiaying Univ．Meizhou514015GuangdongChina

Received:2003-08-20 Online:2004-07-20 Published:2015-09-09
Contact: 胡连（1952－）男教授主要从事凝聚态物理的研究． E-mail:hulian0822＠163.com
About author:胡连（1952－）男教授主要从事凝聚态物理的研究．

Abstract

Abstract: The evolution and Berry phase of the particles with the spin of1／2in a magnetic field can be found direct -ly by Schrödinger equationbut mathematical difficulties will come forth as to high-spin particles．According to the characteristic that there are energy level spaces among spin particlesthe method of trial wavefunction was adopted to solve the Schrödinger equation describing the evolution of spin particles in a rotating magnetic field with a adiabatic ap-proximationthus obtaining the wavefunction of system evolution and the Berry phase of the system after an evolution period．The proposed method is characterized by avoiding high-order differential equations and simplifying the calculation when it is applied to high-spin particles．

Key words: rotating magnetic field, high-spin particle, evolution, Berry phase, trial wavefunction

Hu Lian Yan Yu-zhen. Evolution and Berry Phase of High-spin Particles in a Rotating Magnetic Field[J]. Journal of South China University of Technology(Natural Science Edition), 2004, 32(7): 74-77.

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Evolution and Berry Phase of High-spin Particles in a Rotating Magnetic Field

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