BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS

SUN Chang-Pu; ZHANG Lin-Zhi

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2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(2) : 136-144

BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS

SUN Chang-Pu ^, ,
ZHANG Lin-Zhi

Physics Department,Notheast Normal University,Changchun

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Abstract：
Under non-relativistic conditions,the properties of adiabatic solutions of the Schrodinger equation in moving frame of reference and the behaviours of the corresponding Berry's Phase are analysed.Two cases of translation and rotation are discussed in detail,which show that the existence of Berry's phase depends on the choice of frame of reference.While Bitter and Dubbers's experiment is explained by the first-order approximation in our discussion,the nonadiabatic effects in this experiment are predicted by the second-order approximation when the adiabatic condition is broken.

References

[1]

M. V. Berry, Proc. Roy. Soc. (London)., A392(1984), 45.[2] R. Jackiw, Com. Atom. Mole. Phys, 21(1988), 71.[3] D. Suter et al，Mole. Phys., 61(1987), 1327.[4] T. Bitter and Dubers, Phys. Rev. Lett., 59(1987), 251.[5] D. R. Richardson et al., Phys. Rev. Lett., 61(1988), 2030.[6] M. Kugler and S.Shtrikman, Phys. Rev., D37 (1988), 934.[7] E. Gozzi et aL, Preprint CERN-TH 5262/88.[8] C. P. Sun, J. Phys., A21(1988), 1595[9] 孙昌璞，高能物理与核物理.12(1988),351;13(1989),110,[10] C. P. Sun Phys. Rev.D38(1988). 2908.[11] C. P. Sun, Chinese Phys. Lett., 6(1989), 97[12] R.Jackiw,in "HIgh Energy Physics 1985"World Scientific: 1986.[13] G.Busch and H. Schade, Theory of Solid State, (Pergmon, 1985).

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SUN Chang-Pu and ZHANG Lin-Zhi. BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS[J]. Chinese Physics C, 1990, 14(2): 136-144.

SUN Chang-Pu and ZHANG Lin-Zhi. BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS[J]. Chinese Physics C, 1990, 14(2): 136-144. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS

SUN Chang-Pu ^,
ZHANG Lin-Zhi

Corresponding author: SUN Chang-Pu,

Physics Department,Notheast Normal University,Changchun

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-02-05

Abstract: Under non-relativistic conditions,the properties of adiabatic solutions of the Schrodinger equation in moving frame of reference and the behaviours of the corresponding Berry's Phase are analysed.Two cases of translation and rotation are discussed in detail,which show that the existence of Berry's phase depends on the choice of frame of reference.While Bitter and Dubbers's experiment is explained by the first-order approximation in our discussion,the nonadiabatic effects in this experiment are predicted by the second-order approximation when the adiabatic condition is broken.