Quantum Mechanical Histories and the Berry Phase

@article{Anastopoulos2000QuantumMH,
  title={Quantum Mechanical Histories and the Berry Phase},
  author={Charis Anastopoulos and N. Savvidou},
  journal={International Journal of Theoretical Physics},
  year={2000},
  volume={41},
  pages={529-540}
}
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. 

References

SHOWING 1-10 OF 18 REFERENCES
Geometry of quantum evolution.
Geometrical description of Berry's phase.
  • Page
  • Physics, Medicine
  • Physical review. A, General physics
  • 1987
General setting for Berry's phase.
The action operator for continuous-time histories
Quantum Mechanics in the Light of Quantum Cosmology
...
1
2
...