Differential equations on the Prym theta function. A realness criterion for two-dimensional finite-zone potential Schrödinger operators

DOI10.1007/BF01077068zbMath0806.35022MaRDI QIDQ1200373

Sergey M. Natanzon

Publication date: 16 January 1993

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Prym theta-function

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Special algebraic curves and curves of low genus (14H45) Theta functions and curves; Schottky problem (14H42)

Related Items

Differential equations for Riemann and Prym theta-functions, Quasi-periodic solutions to hierarchies of nonlinear integrable equations and bilinear relations, Formulas for \(A_n\)- and \(B_n\)-solutions of WDVV equations, Kadomtsev-Petviashvili hierarchies of types B and C, Kadomtsev-Petviashvili turning points and CKP hierarchy, SCHOTTKY UNIFORMIZATIONS OF SYMMETRIES, Integrable hierarchies associated to infinite families of Frobenius manifolds

Cites Work

• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Nonsingular finite-zone two-dimensional Schrödinger operators and Prymians of real curves
• Prymians of real curves and their applications to the effectivization of Schrödinger operators
• Spectral theory of two-dimensional periodic operators and its applications
• REAL THETA-FUNCTION SOLUTIONS OF THE KADOMTSEV–PETVIASHVILI EQUATION
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