Hamiltonian functional integrals representing regularized traces of higher-order differential operators

DOI10.1134/S1064562414030041zbMath1306.47055OpenAlexW2013549012MaRDI QIDQ471362

O. G. Smolyanov, Victor A. Sadovnichij, Eugene T. Shavgulidze

Publication date: 14 November 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414030041

zbMATH Keywords

regularized traceshigher-order differential operatorsFeynman formulasHamiltonian functional integrals

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (1)

Representations of regularized determinants of exponentials of differential operators by functional integrals

Cites Work

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• Hamiltonian and Feynman aspects of secondary quantization
• Chernoff's theorem and discrete time approximations of Brownian motion on manifolds
• The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials
• Representation of regularized traces of operators by functional integrals
• One-Parameter Semigroups for Linear Evolution Equations
• SMOOTH PROBABILITY MEASURES AND ASSOCIATED DIFFERENTIAL OPERATORS
• Hamiltonian Feynman path integrals via the Chernoff formula

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