Matrix-valued Schrödinger operators over local fields

DOI10.1134/S2070046609020058zbMath1187.47037MaRDI QIDQ974456

David Weisbart, Trond Digernes

Publication date: 3 June 2010

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

local fieldsSchrödinger operatorsFeynman-Kac formula

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Probability theory on linear topological spaces (60B11) Schrödinger and Feynman-Kac semigroups (47D08) Pseudodifferential operators (47G30)

Related Items (2)

Matrix-valued Schrödinger operators over finite adeles ⋮ On \(p\)-adic mathematical physics

Cites Work

• Unnamed Item
• Path integrals for a class of \(p\)-adic Schrödinger equations
• Number theory as the ultimate physical theory
• Convergence of quantum systems on grids
• FINITE APPROXIMATIONS TO QUANTUM SYSTEMS
• 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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