Nonlinear functions of weak processes. II

DOI10.1016/0022-1236(70)90046-7zbMath0202.42201OpenAlexW4213137898MaRDI QIDQ2541091

Irving E. Segal

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0022-1236(70)90046-7

Related Items (15)

On some nonlinear evolution equations in quantum field theory ⋮ Wick products of the free Bose field ⋮ An explicitly solvable model in ?Euclidean? field theory: The Fixed Source ⋮ Multiplication formulas of orthogonal polynomials of boson field operators: Derivation based on the generalized phase-space method ⋮ Singular operators on Boson fields as forms on spaces of entire functions on Hilbert space ⋮ On quantum fields satisfying a given wave equation ⋮ Quantum interaction :φ44:, the construction of quantum field defined as a bilinear form ⋮ Renormalized oscillator Hamiltonians ⋮ Selfadjoint operator extensions satisfying the Weyl commutation relations ⋮ Existence of Green's functions in the Euclidean domain for the \(P(\varphi)_2\) theory ⋮ Quadratic Expressions in a Free Boson Field ⋮ Transformations in Wiener space and squares of quantum fields ⋮ On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups ⋮ Positive semigroups of operators and applications: Editors' introduction ⋮ Wiener-Itô decomposition of polynomial operators formed with boson quasi-free fields

Cites Work

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• Nonlinear functions of weak processes. I
• Transformations in Wiener space and squares of quantum fields
• Tensor Algebras Over Hilbert Spaces. I
• NOTES TOWARD THE CONSTRUCTION OF NONLINEAR RELATIVISTIC QUANTUM FIELDS, I. THE HAMILTONIAN IN TWO SPACE-TIME DIMENSIONS AS THE GENERATOR OF A C ^* -AUTOMORPHISM GROUP
• Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times

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