Continuity properties of the semi-group and its integral kernel in non-relativistic QED

DOI10.1142/S0129055X16500112zbMath1372.47076arXiv1512.04494MaRDI QIDQ3188761

Oliver Matte

Publication date: 12 August 2016

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

Full work available at URL: https://arxiv.org/abs/1512.04494

zbMATH Keywords

stochastic differential equationFeynman-Kac formulanon-relativistic QED

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Applications of stochastic analysis (to PDEs, etc.) (60H30) Electromagnetic interaction; quantum electrodynamics (81V10) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items (6)

Feynman-Kac formulas for Dirichlet-Pauli-Fierz operators with singular coefficients ⋮ Ground states and associated path measures in the renormalized Nelson model ⋮ Pauli-Fierz type operators with singular electromagnetic potentials on general domains ⋮ Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively ⋮ Sharp convex generalizations of stochastic Gronwall inequalities ⋮ Stochastic differential equations for models of non-relativistic matter interacting with quantized radiation fields

Cites Work

• Multiplicative matrix-valued functionals and the continuity properties of semigroups corresponding to partial differential operators with matrix-valued coefficients
• Pauli-Fierz type operators with singular electromagnetic potentials on general domains
• Exponential decay and ionization thresholds in non-relativistic quantum electrodynamics
• Functional integral representations of the Pauli-Fierz model with spin 1/2
• PAULI–FIERZ MODEL WITH KATO-CLASS POTENTIALS AND EXPONENTIAL DECAYS
• Dynamics of Charged Particles and their Radiation Field
• Functional Integral Representation of a Model in Quantum Electrodynamics
• CONTINUITY PROPERTIES OF SCHRÖDINGER SEMIGROUPS WITH MAGNETIC FIELDS
• Stochastic Equations in Infinite Dimensions
• LOCALIZATION OF THE NUMBER OF PHOTONS OF GROUND STATES IN NONRELATIVISTIC QED
• ON THE SELF-ADJOINTNESS AND DOMAIN OF PAULI–FIERZ TYPE HAMILTONIANS
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