Quantum variational principle and quantum multiform structure: the case of quadratic Lagrangians

DOI10.1016/j.nuclphysb.2019.114686zbMath1441.81100arXiv1702.08709OpenAlexW2962961287MaRDI QIDQ2186329

S. D. King, Frank W. Nijhoff

Publication date: 9 June 2020

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08709

zbMATH Keywords

path integralsquadratic Lagrangiansquantum multiform structurequantum variational principle

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Lattice dynamics; integrable lattice equations (37K60) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12) Special quantum systems, such as solvable systems (81Q80)

Related Items (3)

Quantum integrability: Lagrangian 1-form case ⋮ Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies ⋮ A variational principle for discrete integrable systems

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