Abstract
We elaborate on the distinction between geometric and dynamical phase in quantum theory and we show that the former is intrinsically linked to the quantum mechanical probabilistic structure. In particular, we examine the appearance of the Berry phase in the consistent histories scheme and establish that it is the basic building block of the decoherence functional. These results are consequences of the novel temporal structure of histories-based theories.
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Anastopoulos, C., Savvidou, N. Quantum Mechanical Histories and the Berry Phase. International Journal of Theoretical Physics 41, 529–540 (2002). https://doi.org/10.1023/A:1014205506943
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DOI: https://doi.org/10.1023/A:1014205506943