62 citations · 109 across the 9 of their papers we have counts for
9 papers
Band rearrangement through the 3D-Dirac equation with boundary conditions, and the corresponding topological change
Toshihiro Iwai, Boris Zhilinskii
Rearrangement of energy bands against a parameter is studied through the 3D-Dirac equation on a ball in under the APS and the chiral bag boundary conditions on the b…
Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models
Guillaume Dhont, Toshihiro Iwai, Boris Zhilinskii
The redistribution of energy levels between energy bands is studied for a family of simple effective Hamiltonians depending on one control parameter and possessing axial symmetry a…
Local description of band rearrangements. Comparison of semi-quantum and full quantum approach
Toshihiro Iwai, Boris Zhilinskii
Rearrangement of rotation-vibration energy bands in isolated molecules within semi-quantum approach is characterized by delta-Chern invariants associated to a local semi-quantum Ha…
Qualitative features of the rearrangement of molecular energy spectra from a "wall-crossing" perspective
Boris Zhilinskii, Toshihiro Iwai
Qualitatively different systems of molecular energy bands are studied on example of a parametric family of effective Hamiltonians describing rotational structure of triply degenera…
Qualitative Analysis of the Classical and Quantum Manakov Top
Evguenii Sinitsyn, Boris Zhilinskii
Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quant…
Adiabatically coupled systems and fractional monodromy
M S Hansen, F Faure, B I Zhilinskii
We present a 1-parameter family of systems with fractional monodromy and adiabatic separation of motion. We relate the presence of monodromy to a redistribution of states both in t…
Hamiltonian monodromy as lattice defect
B. Zhilinskii
The analogy between monodromy in dynamical (Hamiltonian) systems and defects in crystal lattices is used in order to formulate some general conjectures about possible types of qual…
Topologically coupled energy bands in molecules
Frederic Faure, Boris Zhilinskii
We propose a concrete application of the Atiyah-Singer index formula in molecular physics, giving the exact number of levels in energy bands, in terms of vector bundles topology. T…
Topological Chern indices in molecular spectra
Frederic Faure, Boris Zhilinskii
Topological Chern indices are related to the number of rotational states in each molecular vibrational band. Modification of the indices is associated to the appearance of ``band d…