Singular perturbations of positivity preserving semigroups via path space techniques

DOI10.1016/0022-1236(75)90053-1zbMath0335.47028OpenAlexW1985915444MaRDI QIDQ1229423

Lawrence J. Landau, Abel Klein

Publication date: 1975

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(75)90053-1

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) Scattering theory of linear operators (47A40)

Related Items (19)

Differential equations in a Banach space ⋮ THERMAL QUANTUM FIELDS WITHOUT CUT-OFFS IN 1+1 SPACE-TIME DIMENSIONS ⋮ Probabilistic aspects of quantum field theory ⋮ Construction of a unique self-adjoint generator for a symmetric local semigroup ⋮ The ground state energy of the massless spin-boson model ⋮ Stochastic processes associated with KMS states ⋮ Functional Integral Representation of a Model in Quantum Electrodynamics ⋮ A characterization of Osterwalder-Schrader path spaces by the associated semigroup ⋮ The \(:\phi^{2}:\) field in the \(P(\phi)_{2}\) model ⋮ Gaussian OS-positive processes ⋮ Quantum stochastic processes ⋮ Thermal quantum fields with spatially cutoff interactions in 1+1 space--time dimensions ⋮ Distribution flows associated with positivity preserving coercive forms ⋮ Reflection positive stochastic processes indexed by Lie groups ⋮ The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields ⋮ On the quantum Feynman-Kac formula ⋮ Localization in the ground state of the Ising model with a random transverse field ⋮ Phase transitions and reflection positivity for a class of quantum lattice systems ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space

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