TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS

SUN Chang-Pu

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2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(8) : 692-699

TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS

SUN Chang-Pu ^,

Theoretical Physics Division,Nankai Institute of Mathematics,Tianjin and Physics Department,Northeast Normal.University,Changchun

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Abstract：
In non-adiabatic cases the topological action assocaiated with Berry's phase and the corresp onding effective Hamiltonian are obtained by path-integral method.We also give the non-adiabatic transition probability amplitude in the first-order approximation.It is thereby shown that the Berry's phase and the induced gauge structure have universality of existence.As an example,dynamics of induced monople relating to the Bitter-Dubber's experiment is analysed in terms of induced gauge field.

References

[1]

M.V. Berry, Proc. R. Soc. Lond., A 392(1984),45.[2] R. Jackiw, Com. Atom.Mole. Phys., 21(1988),71.and therein.[3] H. Kuratsuji and S. Iida, Prog. Thcor. Phys., 74(1985), 439.[4] H. Kuratsuji and S. Iida, Phys. Rcv. Lett, 56(1986), 1003.[5] C. -P. Sun, J. Phys., A21(1988), 1595.[6] C. -P. Sun, High Encrgy Phys. Nucl. Phys. 12(1988), 352.[7] C. -P. Sun, Phys. Rev., D38(1988), 2908.[8] C.-P. Sun, Chinese Phys. Lett., 6(1989), 97.[9] 孙昌璞，高能物理与核物理，13(1989)，110,[10] 孙昌璞，高能物理与核物理，13(1989)，403,[11] J. Moody et, al, Phys. Reu. Lett., 59(1987),161.[12] T. Bitter and D. Dubbers, Phys. Rev. Lett., 59(1987), 251.[13] 孙昌璞，张林芝，高能物理与核物理，14(1990)，136,[14] 马中骐，戴安英，《群论及其在物理学中的应用，，北京理工大学出版社(1988),

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SUN Chang-Pu. TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS[J]. Chinese Physics C, 1990, 14(8): 692-699.

SUN Chang-Pu. TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS[J]. Chinese Physics C, 1990, 14(8): 692-699. 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

TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS

SUN Chang-Pu ^,

Corresponding author: SUN Chang-Pu,

Theoretical Physics Division,Nankai Institute of Mathematics,Tianjin and Physics Department,Northeast Normal.University,Changchun

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-08-05

Abstract: In non-adiabatic cases the topological action assocaiated with Berry's phase and the corresp onding effective Hamiltonian are obtained by path-integral method.We also give the non-adiabatic transition probability amplitude in the first-order approximation.It is thereby shown that the Berry's phase and the induced gauge structure have universality of existence.As an example,dynamics of induced monople relating to the Bitter-Dubber's experiment is analysed in terms of induced gauge field.