Physics – Quantum Physics
Scientific paper
2001-03-11
Physics Letters A 275 (2000) 473-480
Physics
Quantum Physics
Submitted to Physics Letters A in November 1999. This paper finds the relation between the solid angle result and the magnetic
Scientific paper
10.1016/S0375-9601(00)00624-1
For a spin subjected to an adiabatically changing magnetic field, the solid angle result as embodied by a rotation operator is the only path-dependent factor in the quantum evolution operator. For a charged particle, the infinite degeneracy calls for a rigorous investigation. We find that in this case, it is the product of the rotation operator and a path-ordered magnetic translation operator that enters into the evolution operator and determines the geometric phase. This result agrees with the fact that the instantaneous hamiltonian is invariant under magnetic translation as well as rotation. Experimental verification of the result is proposed.
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