Dynamical symmetry approach to periodic Hamiltonians

DOI10.1063/1.533265zbMath0973.81032arXivsolv-int/9912007OpenAlexW3106130776MaRDI QIDQ2737961

Hui Li, Dimitri Kusnezov

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9912007

zbMATH Keywords

dispersion relationscomplementary seriestransfer matricesenergy gapsenergy bandsScarf potentialnonunitary representationsrepresentations of \(\text{su}(1,1)\) and \(\text{so}(2,2)\)

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lie algebras of Lie groups (22E60) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Cites Work

• Group theory approach to scattering. II: The Euclidean connection
• The Plancherel formula for the universal covering group of SL(R, 2)
• Irreducible unitary representations of the Lorentz group
• New Soluble Energy Band Problem
• An exactly solvable periodic Schrodinger operator
• Energy Bands and Wave Functions in Periodic Potentials

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