PT-invariant periodic potentials with a finite number of band gaps

DOI10.1063/1.2000207zbMath1110.81158arXivmath-ph/0505027OpenAlexW2024459968MaRDI QIDQ3438545

Avinash Khare, Uday P. Sukhatme

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/math-ph/0505027

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (3)

Complex periodic potentials with a finite number of band gaps ⋮ Conditional observability ⋮ The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations

Cites Work

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• Analytically solvable PT-invariant periodic potentials
• Anti-Isospectral Transformations in Quantum Mechanics
• Some exact results for mid-band and zero band-gap states of associated Lamé potentials
• Must a Hamiltonian be Hermitian?
• New solvable and quasiexactly solvable periodic potentials
• Periodic potentials and supersymmetry
• The band spectrum of periodic potentials with Script PScript T-symmetry
• Heun equations and quasi exact solubility

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