A study of energy band rearrangement in isolated molecules by means of the Dirac oscillator approximation

DOI10.1134/S1560354720050032zbMath1458.37063OpenAlexW3089784961MaRDI QIDQ2220890

Toshihiro Iwai, Guillaume Dhont, Boris I. Zhilinskiĭ

Publication date: 25 January 2021

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354720050032

zbMATH Keywords

Chern numberDirac oscillatorHamiltonian monodromyedge state

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Momentum maps; symplectic reduction (53D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Molecular physics (81V55) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Topological invariants on manifolds (58K65) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (1)

A bulk-edge correspondence between the second Chern number and the spectral flow

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