Abstract
The adiabatic evolution of Pauli spin in a slowly varying external magnetic field is studied by using the fermionic coherent state defined by the Grassmann-variant unitary displacement from the stable adiabatic vacuum. This manifests the interrelation between Berry's phase and Hannay's angle in a peculiar manner. The gauge field strength giving rise to the geometrical phase is found to be that of a monopole of a Grassmann charge. We quantize this charge based on the Bohr-Sommerfeld-type rule for Grassmannian systems and then correctly obtain Berry's phase.
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