The geometric phase in quantum physics
Conference
·
OSTI ID:6427574
After an explanatory introduction, a quantum system in a classical time-dependent environment is discussed; an example is a magnetic moment in a classical magnetic field. At first, the general abelian case is discussed in the adiabatic approximation. Then the geometric phase for nonadiabatic change of the environment (Anandan--Aharonov phase) is introduced, and after that general cyclic (nonadiabatic) evolution is discussed. The mathematics of fiber bundles is introduced, and some of its results are used to describe the relation between the adiabatic Berry phase and the geometric phase for general cyclic evolution of a pure state. The discussion is restricted to the abelian, U(1) phase.
- Research Organization:
- Texas Univ., Austin, TX (United States). Center for Particle Physics
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG03-93ER40757
- OSTI ID:
- 6427574
- Report Number(s):
- DOE/ER/40757-004; CONF-9206360-1; ON: DE93011121
- Resource Relation:
- Conference: North Atlantic Treaty Organization (NATO)-ASI meeting on recent problems in mathematical physics, Salamanca (Spain), Jun 1992
- Country of Publication:
- United States
- Language:
- English
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