Group theoretical properties and band structure of the Lamé Hamiltonian
- 1 September 2000
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 33 (36), 6413-6429
- https://doi.org/10.1088/0305-4470/33/36/310
Abstract
We study the group theoretical properties of the Lamé equation and its relation to su(1,1) and su(2). We compute the band structure, dispersion relation and transfer matrix and discuss the dynamical symmetry limits.Keywords
This publication has 23 references indexed in Scilit:
- Dynamical symmetry approach to periodic HamiltoniansJournal of Mathematical Physics, 2000
- New solvable and quasiexactly solvable periodic potentialsJournal of Mathematical Physics, 1999
- Group Theory Approach to Band Structure: Scarf and Lamé HamiltoniansPhysical Review Letters, 1999
- Supersymmetry breaking with periodic potentialsPhysics Letters B, 1998
- Self-isospectral periodic potentials and supersymmetric quantum mechanicsPhysical Review D, 1998
- Incompleteness of Representation Theory: Hidden Symmetries and Quantum NonintegrabilityPhysical Review Letters, 1997
- Symmetric monopoles and finite-gap Lamé potentialsJournal of Physics A: General Physics, 1996
- Symmetry and supersymmetry in nuclear physicsLa Rivista del Nuovo Cimento, 1996
- Sphalerons and normal modes in the (1 + 1)-dimensional abelian Higgs model on the circlePhysics Letters B, 1992
- Potential Scattering, Transfer Matrix, and Group TheoryPhysical Review Letters, 1983