Complex periodic potentials with a finite number of band gaps

DOI10.1063/1.2204810zbMath1112.81031arXivquant-ph/0602105OpenAlexW2014289773MaRDI QIDQ3441855

Uday P. Sukhatme, Avinash Khare

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0602105

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Explicit solutions, first integrals of ordinary differential equations (34A05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Elliptic functions and integrals (33E05)

Related Items (1)

Classical and quantum duality of quasi-exactly solvable problems

Cites Work

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• Exceptional coverings and sums of 4 triangular numbers
• E-compact extensions of topological spaces
• Treibich-Verdier potentials and the stationary (m)KdV hierarchy
• Do quasi-exactly solvable systems always correspond to orthogonal polynomials?
• Analytically solvable PT-invariant periodic potentials
• Some exact results for mid-band and zero band-gap states of associated Lamé potentials
• Must a Hamiltonian be Hermitian?
• PT-invariant periodic potentials with a finite number of band gaps
• Novel correlations in two dimensions: Two-body problem
• The Heun Equation and the Calogero-Moser-Sutherland System III: The Finite-Gap Property and the Monodromy
• Finite lattice Bethe ansatz systems and the Heun equation
• New solvable and quasiexactly solvable periodic potentials
• Periodic potentials and supersymmetry
• Heun equations and quasi exact solubility

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