Exact wave functions of an electron on a quasiperiodic lattice: Definition of an infinite-dimensional Riemann theta function

DOI10.1063/1.529842zbMath0925.81025OpenAlexW2039591639MaRDI QIDQ4030998

Kazumoto Iguchi

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529842

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Theta functions and abelian varieties (14K25)

Cites Work

• Almost periodic Schrödinger operators. II: The integrated density of states
• Symbolic dynamics for the renormalization map of a quasiperiodic Schrödinger equation
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• Renormalization of Quasiperiodic Mappings

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