TY - JOUR
T1 - Phase change during a cyclic quantum evolution
AU - Aharonov, Y.
AU - Anandan, J.
PY - 1987
Y1 - 1987
N2 - A new geometric phase factor is defined for any cyclic evolution of a quantum system. This is independent of the phase factor relating the initial and final state vectors and the Hamiltonian, for a given projection of the evolution on the projective space of rays of the Hilbert space. Some applications, including the Aharonov-Bohm effect, are considered. For the special case of adiabatic evolution, this phase factor is a gauge-invariant generalization of the one found by Berry.
AB - A new geometric phase factor is defined for any cyclic evolution of a quantum system. This is independent of the phase factor relating the initial and final state vectors and the Hamiltonian, for a given projection of the evolution on the projective space of rays of the Hilbert space. Some applications, including the Aharonov-Bohm effect, are considered. For the special case of adiabatic evolution, this phase factor is a gauge-invariant generalization of the one found by Berry.
UR - http://www.scopus.com/inward/record.url?scp=30244508244&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.58.1593
DO - 10.1103/PhysRevLett.58.1593
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C2 - 10034484
AN - SCOPUS:30244508244
SN - 0031-9007
VL - 58
SP - 1593
EP - 1596
JO - Physical Review Letters
JF - Physical Review Letters
IS - 16
ER -