Generalizing Born-Oppenheimer approximations and observable effects of an induced gauge field

Journal Article · Thu Feb 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.1349· OSTI ID:6850398

Sun, C ^[1]; Ge, M ^[2]

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1. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, People's Republic of China (CN) Physics Department, Northeast Normal University, Changchun, People's Republic of China
2. Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin, People's Republic of China (CN)

By extending the Born-Oppenheimer approximation improved by Wilczek {ital et} {ital al}. to deal with separation of the spin and space coordinates of a particle in an external field, we generally discuss the direct effects of an induced gauge field and the higher-order corrections to the problem. It is shown that Bitter and Dubbers's experiment about Berry's phase is directly explained as an effect of the induced gauge potential in terms of the first-order approximation in this paper. The higher-order effects appearing in this experiment are also pointed out when the adiabatic conditions are broken.

• OSTI ID: 6850398
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BORN-OPPENHEIMER APPROXIMATION
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
EQUATIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SCHROEDINGER EQUATION
SPIN
WAVE EQUATIONS
WAVE FUNCTIONS