Quantum mechanical histories and the Berry phase

Abstract

We elaborate on the distinction between geometric and dynamical phase in quantum theory and 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.

12 pages, latex. The new version is substantially revised and enlarged with more detailed discussion and explanations: in some sense it is a new paper

Cited by in corpus (2)

• Quantum processes on phase space
• Quantum theory without Hilbert spaces