SCHRÖDINGER OPERATORS ON LOCAL FIELDS: SELF-ADJOINTNESS AND PATH INTEGRAL REPRESENTATIONS FOR PROPAGATORS

DOI10.1142/S0219025708003294zbMath1162.47038OpenAlexW2162747285MaRDI QIDQ3606609

D. E. Weisbart, V. S. Varadarajan, Trond Digernes

Publication date: 26 February 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025708003294

zbMATH Keywords

local fieldsSchrödinger operatorsFeynman-Kac formula

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (p)-adic theory, local fields (11F85) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items (5)

Matrix-valued Schrödinger operators over finite adeles ⋮ \(p\)-adic Brownian motion as a limit of discrete time random walks ⋮ Continuous time \(p\)-adic random walks and their path integrals ⋮ On infinitesimal generators and Feynman–Kac integrals of adelic diffusion ⋮ DISCONTINUITY OF FOURIER TRANSFORMS OF POISSONIAN TYPE COUNTABLY ADDITIVE MEASURES

Cites Work

• Path integrals for a class of \(p\)-adic Schrödinger equations
• A regularization of quantum field Hamiltonians with the aid of \(p\)-adic numbers
• FINITE APPROXIMATIONS TO QUANTUM SYSTEMS
• Representations of the Weyl group in spaces of square integrable functions with respect top-adic valued Gaussian distributions
• Finite approximation of Weyl systems
• Finite-dimensional approximations of operators in the Hilbert spaces of functions on locally compact Abelian groups

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