Heat kernel coefficients for the matrix Schrödinger operator

DOI10.1063/1.531213zbMath0843.58120arXivhep-th/9501026OpenAlexW3105615604MaRDI QIDQ4873373

Rainer Schimming, Ivan G. Avramidi

Publication date: 5 May 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9501026

zbMATH Keywords

heat kernel coefficientsmatrix Schrödinger operator

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Supersymmetric exact sequence, heat kernel and super Korteweg–de Vries hierarchy ⋮ Heat trace and functional determinant in one dimension ⋮ On Hadamard's coefficients for two dimensional Schrödinger operators ⋮ Covariant algebraic method for calculation of the low-energy heat kernel ⋮ One-loop corrections to classical masses of kink families ⋮ Quantum heat traces ⋮ Brownian motion and Riemannian geometry in the neighbourhood of a submanifold ⋮ Huygens' principle for hyperbolic operators and integrable hierarchies ⋮ The Gardner category and nonlocal conservation laws for N=1 Super KdV ⋮ Semi-classical mass of quantum \(k\)-component topological kinks

Cites Work

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• Adiabatic expansions of solutions of coupled second-order linear differential equations. II
• Laplace-Like Linear Differential Operators with a Logarithm-Free Elementary Solution
• Inverse scattering transform for general matrix Schrodinger operators and the related symplectic structure
• An explicit expression for the Korteweg-de Vries hierarchy