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

VL - 58

SP - 1593

EP - 1596

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 16

ER -