Berry's Phase Effects in Spin Precession of Relativistic Neutral Particle in Slowly Changing Magnetic Field

Sun, Chenglin; Linzhi, Zhang

doi:10.1088/0253-6102/12/4/479

Commun. Theor. Phys.

1989

DOI: 10.1088/0253-6102/12/4/479

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Berry's Phase Effects in Spin Precession of Relativistic Neutral Particle in Slowly Changing Magnetic Field

Chenglin Sun

Zhang Linzhi

Abstract: By making use of the adiabatic approximate method, we derive the spin rotation formula of a relativistic neutral particle propagating in a slowly changing magnetic field, which involves the effects of the Berry's phases. In the non–relativistic limit, the Berry's phases result in an additional rotation in OVV spin rotation.

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1993

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High-order adiabatic approximation for non-Hermitian quantum system and complexification of Berry's phase

Sun

1993

Phys. Scr.

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In this paper the evolution of a quantum system drived by a non-Hermitian Hamiltonian depending on slowly-changing parameters is studied by building an universal high-order adiabatic approximation(HOAA) method with Berry's phase , which is valid for either the Hermitian or the non-Hermitian cases . This method can be regarded as a non-trivial generalization of the HOAA method for closed quantum system presented by this author before. In a general situation, the probabilities of adiabatic decay and non-adiabatic transitions are explicitly obtained for the evolution of the non-Hermitian quantum system. It is also shown that the non-Hermitian analog of the Berry's phase factor for the non-Hermitian case just enjoys the holonomy structure of the dual linear bundle over the parameter manifold. The non-Hermitian evolution of the generalized forced harmonic oscillator is discussed as an illustrative examples.

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High-order adiabatic approximation for non-Hermitian quantum system and complexification of Berry's phase

Sun

1993

Phys. Scr.

Self Cite

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show abstract

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Berry's Phase Effects in Spin Precession of Relativistic Neutral Particle in Slowly Changing Magnetic Field

Cited by 1 publication

References 2 publications

High-order adiabatic approximation for non-Hermitian quantum system and complexification of Berry's phase

High-order adiabatic approximation for non-Hermitian quantum system and complexification of Berry's phase

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