116 citations · 1.4k across the 130 of their papers we have counts for
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Quantum anomaly and geometric phase; their basic differences
Kazuo Fujikawa
It is sometimes stated in the literature that the quantum anomaly is regarded as an example of the geometric phase. Though there is some superficial similarity between these two no…
Gauge symmetries in geometric phases
Kazuo Fujikawa
The analysis of geometric phases is briefly reviewed by emphasizing various gauge symmetries involved. The analysis of geometric phases associated with level crossing is reduced to…
Berry's phases and topological properties in the Born-Oppenheimer approximation
Kazuo Fujikawa
The level crossing problem is neatly formulated by the second quantized formulation, which exhibits a hidden local gauge symmetry. The analysis of geometric phases is reduced to a…
Topological properties of geometric phases
Kazuo Fujikawa
The level crossing problem and associated geometric terms are neatly formulated by using the second quantization technique both in the operator and path integral formulations. The…
Geometric phases and hidden local gauge symmetry
Kazuo Fujikawa
The analysis of geometric phases associated with level crossing is reduced to the familiar diagonalization of the Hamiltonian in the second quantized formulation. A hidden local ga…
Second quantized formulation of geometric phases
Shinichi Deguchi, Kazuo Fujikawa
The level crossing problem and associated geometric terms are neatly formulated by the second quantized formulation. This formulation exhibits a hidden local gauge symmetry related…