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The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint extensions
Kazuhiko Odaka, Kazuya Satoh
By using the spherical coordinates in 3+1 dimensions we study the self-adjointness of the Dirac Hamiltonian in an Aharonov-Bohm gauge field of an infinitely thin magnetic flux tube…
A Topological Study of Induced Representation
Kazuhiko Odaka
From the point of view of topology we study the induced representation technique which E. Wigner proposed in 1939. We comment on the gauge structure in the induced representation t…
Spin Connections and Classification of Inequivalent Quantizations
Kazuhiko Odaka
We discuss an extension of the quantization method based on the induced representation of the canonical group.
Comment on -deformation in Second Quantization Procedure
Kazuhiko Odaka
When the -deformed creation and annihilation operators are used in a second quantization procedure, the algebra satisfied by basis vectors (orthogonal complete set) should be al…