Group Theoretical Properties and Band Structure of the Lame Hamiltonian

Abstract

We study the group theoretical properties of the Lame 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.

21 pages Revtex + 6 eps + 2 jpg figures

References in corpus (3)

• New Solvable and Quasi Exactly Solvable Periodic Potentials
• Group Theory Approach to Band Structure: Scarf and Lame Hamiltonians
• Dynamical Symmetry Approach to Periodic Hamiltonians

Cited by in corpus (22)

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• Self-isospectrality, special supersymmetry, and their effect on the band structure
• Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors
• Full Phase Diagram of the Massive Gross-Neveu Model
• Analytical solution of the Gross-Neveu model at finite density
• Droplet Nucleation and Domain Wall Motion in a Bounded Interval
• Finite-gap systems, tri-supersymmetry and self-isospectrality
• Hidden nonlinear supersymmetry of finite-gap Lame equation
• Duality and Self-Duality (Energy Reflection Symmetry) of Quasi-Exactly Solvable Periodic Potentials
• Lamé polynomials, hyperelliptic reductions and Lamé band structure
• From non-degenerate conducting polymers to dense matter in the massive Gross-Neveu model
• A Class of Partially Solvable Two-Dimensional Quantum Models with Periodic Potentials
• Chiral soliton lattice at next-to-leading order
• Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation
• The Effects of Weak Spatiotemporal Noise on a Bistable One-Dimensional System
• The generating functions of Lame equation in Weierstrass's form
• Stringy Membranes in AdS/CFT
• Exchange of stability as a function of system size in a nonequilibrium system
• Chiral Spirals from Noncontinuous Chiral Symmetry: The Gross-Neveu model results
• Applications of the potential algebras of the two-dimensional Dirac-like operators
• On instability of ground states in 2D CP(N-1) and O(N) models at large N
• Statistical Mechanics of Lamé Solitons