The investigation of Hamiltonians that depend on slowly
(adiabatically) varying parameters lead to the discovery
of the Berry phase (geometric phase). The Berry phase has
found numerous applications in condensed matter physics.
Relation between AB-effect and Berry phase, and between
AB-effect and topology
The Aharonov-Anandan phase as a generalization of the
geometric phase
The Aharonov-Casher effect as the dual of the AB-effect
Experimental observation of the AC-effect in a neutron
interferometer
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[1] Bohm et al.,The geometric phase in quantum systems,
Springer, Berlin (2003), chapter 2.1-2.3.
[2] Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).
[3] A. Bohm et al.,The geometric phase in quantum systems,
Springer, Berlin (2003), chapter 4.1-4.3
[4] Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984).
[5] A. Cimmino et al., Phys. Rev. Lett. 63, 380 (1989).
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