Higher-level eigenvalues of Q-operators and Schroedinger equation
V.V. Bazhanov, S.L. Lukyanov, A.B. Zamolodchikov
TL;DR
This paper explores the connection between the higher-level eigenvalues of Q-operators and the one-dimensional Schrödinger equation, extending previous relations to a broader spectral context.
Contribution
It introduces a novel extension of the relation between Schrödinger equation solutions and Q-operator eigenvalues to include higher-level eigenvalues.
Findings
Established a link between higher-level Q-operator eigenvalues and Schrödinger equation solutions.
Extended the known relation from vacuum to higher eigenstates.
Provides a framework for analyzing spectral properties of quantum integrable systems.
Abstract
Relation between one-dimensional Schroedinger equation and the vacuum eigenvalues of the Q-operators is extended to their higher-level eigenvalues.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Algebraic structures and combinatorial models · Advanced Algebra and Geometry