We extend recent works of Berry, Simon, and others on the evolution of adiabatic wave
functions in parameter spaces with nontrivial global geometry, to show the interesting ways …

We study above-barrier scattering of Dirac electrons by a smooth electrostatic potential
combined with a coordinate-dependent mass in graphene. We assume that the potential …

We consider the semiclassical limit of quantum systems with a Hamiltonian given by the
Weyl quantization of an operator valued symbol. Systems composed of slow and fast …

We study anomalous commutators for field theories from the viewpoint of deformation of the
symplectic structure of phase space. This deformation is connected with a phase holonomy …

Landau level mixing by external potentials is considered in a Born-Oppenheimer expansion
which separates the dynamics of the fast velocities of cyclotron rotation and the slow …

We shall explore here the relationship between chiral anomaly and Berry phase from the
view‐point of the topological investigations of anomaly. This will be extended in the coherent …

To examine dynamical effects on the geometric phase at the semi-classical level, we apply
the technique of the time-dependent variational principle to simple models which typically …

The relation between Berry's phase in chiral gauge theories and the Schwinger term of
generators of the representation G 3 (the group of time-independent gauge transformations) …

The algebraic structure of the chirally gauged Wess-Zumino-Witten model is studied from the
Hamiltonian point of view. The consistent chiral anomaly, which is reproduced at the tree …

The behavior of a q-deformed Heisenberg-Weyl algebra nearby q= 1 is investigated. We
calculate the q-deformed symplectic structure and* product up to the first-order corrections …