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Berry phases and Hamiltonian time dependence

✍ Scribed by Moore, D J

Book ID
121697526
Publisher
Institute of Physics
Year
1990
Tongue
English
Weight
634 KB
Volume
23
Category
Article
ISSN
0305-4470

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πŸ“œ SIMILAR VOLUMES

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On the space L, of loops in the group of Hamiltonian symplectomorphisms of a symplectic quantizable manifold, we define a closed Z-valued 1-form Ω. If Ω vanishes, the prequantization map can be extended to a group representation. On L one can define an action integral as an R/Z-valued function, and

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The time-dependent gauge transformation is discussed in the context of modified Lagrangian and Hamiltonian formalisms in which time is treated as a dynamical coordinate. It is shown that Berry's phase is invariant under both time-dependent unitary and generalized gauge transformations. The Berry pha