Symmetry, invariants, and topology in molecular models

DOI10.1016/S0370-1573(00)00089-2zbMath0971.81593OpenAlexW2011986905WikidataQ128012846 ScholiaQ128012846MaRDI QIDQ1591823

Boris I. Zhilinskiĭ

Publication date: 9 January 2001

Published in: Physics Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0370-1573(00)00089-2

zbMATH Keywords

effective Hamiltoniansintra-molecular dynamicsquantum energy spectra

Mathematics Subject Classification ID

Molecular physics (81V55)

Related Items

Highly symmetric POVMs and their informational power ⋮ Lie-Poincaré transformations and a reduction criterion in Landau theory ⋮ Rearrangement of energy bands: topological aspects ⋮ Rearrangement of energy bands: Chern numbers in the presence of cubic symmetry ⋮ Near-resonances and detuning in classical and quantum mechanics ⋮ Multimodal dynamics of nonhomogeneous absorbing Markov chains evolving at stochastic transition rates ⋮ A study of energy band rearrangement in isolated molecules by means of the Dirac oscillator approximation ⋮ Energy bands: Chern numbers and symmetry ⋮ Topologically coupled energy bands in molecules ⋮ Interpretation of quantum Hamiltonian monodromy in terms of lattice defects ⋮ A fast algorithm for the construction of integrity bases associated to symmetry-adapted polynomial representations: application to tetrahedral XY\(_{\mathrm{4}}\) molecules ⋮ Topological phase transition in a molecular Hamiltonian with symmetry and pseudo-symmetry, studied through quantum, semi-quantum and classical models ⋮ Local description of band rearrangements

Uses Software

• Macaulay2

Cites Work

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