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4 papers · 2 filters
Geometric Phase and Chiral Anomaly in Path Integral Formulation
Kazuo Fujikawa
All the geometric phases, adiabatic and non-adiabatic, are formulated in a unified manner in the second quantized path integral formulation. The exact hidden local symmetry inheren…
Adiabatic approximation in the second quantized formulation
Kazuo Fujikawa
Recently there have been some controversies about the criterion of the adiabatic approximation. It is shown that an approximate diagonalization of the effective Hamiltonian in the…
Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations
Akihiro Ogura, Motoo Sekiguchi
We investigate the algebraic structure of the Feynman propagator with a general time-dependent quadratic Hamiltonian system. Using the Lie-algebraic technique we obtain a normal-or…
Topological quantum gate entangler for a multi-qubit state
Hoshang Heydari
We establish a relation between topological and quantum entanglement for a multi-qubit state by considering the unitary representations of the Artin braid group. We construct topol…