Work

The classical and quantum particle on a flag manifold

Year: 2024

Type: article

Abstract: In the present paper we consider two related problems, i.e. the description of geodesics and the calculation of the spectrum of the Laplace–Beltrami operator on a flag manifold. We show that there exists a family of invariant metrics such that both problems can be solved simply and explicitly. In order to determine the spectrum of the Laplace–Beltrami operator, we construct natural, finite-dimensional approximations (of spin chain type) to the Hilbert space of functions on a flag manifold.

Source: Classical and Quantum Gravity

DOI: 10.1088/1361-6382/ad7189

Authors: Dmitri Bykov, Andrew Kuzovchikov

Institutions: Russian Academy of Sciences, Lomonosov Moscow State University, Steklov Mathematical Institute, St Petersburg University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Russian Science Foundation, Foundation for the Advancement of Theoretical Physics and Mathematics

Awards: G6823438349, G6921860826