Algebro-geometric Schrödinger operators in many dimensions

DOI10.1098/rsta.2007.2057zbMath1153.14303OpenAlexW2140120884WikidataQ51911876 ScholiaQ51911876MaRDI QIDQ5503945

Oleg A. Chalykh

Publication date: 21 January 2009

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2007.2057

zbMATH Keywords

Schrödinger operatorCalogero-Moser systemalgebraic integrabilitydeformed root systemsalgebro-geometric operators

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items

Nonlinear supersymmetry in the quantum Calogero model ⋮ On rings of commuting partial differential operators ⋮ Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions ⋮ Deformed Calogero-Moser operators and ideals of rational Cherednik algebras ⋮ Bispectrality of \(AG_2\) Calogero-Moser-Sutherland system ⋮ The structure of invariants in conformal mechanics ⋮ The Schur-Sato theory for quasi-elliptic rings ⋮ Surprising examples of nonrational smooth spectral surfaces ⋮ Commuting differential operators and higher-dimensional algebraic varieties ⋮ Intertwining operator for AG2 Calogero–Moser–Sutherland system

Cites Work

• Loop groups and equations of KdV type
• Example of an algebraic curve in \(C^ 2\) such that its complement has fundamental group with elements of finite order

This page was built for publication: Algebro-geometric Schrödinger operators in many dimensions