Tempered distributions in infinitely many dimensions. III: Linear transformations of field operators

DOI10.1007/BF01646321zbMath0148.37403MaRDI QIDQ2524927

P. Kristensen, L. Mejlbo, Ebbe Thue Poulsen

Publication date: 1967

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

zbMATH Keywords

functional analysis

Related Items (12)

Extension of Tomita-Takesaki theory to the unbounded algebra of the canonical commutation relations ⋮ Dissipators for symmetric quasi-free dynamical semigroups on the CAR algebra ⋮ Quantum interaction :φ44:, the construction of quantum field defined as a bilinear form ⋮ LOCAL EXPONENTS AND INFINITESIMAL GENERATORS OF CANONICAL TRANSFORMATIONS ON BOSON FOCK SPACES ⋮ Infinite dimensional fock spaces and schrödinger equation solutions ⋮ Squeezing of free Bose fields ⋮ Boson fields with the \(:\Phi^ 4:\) interaction in three dimensions ⋮ Exponential representations of the canonical commutation relations ⋮ Ultracoherence in Bose algebras ⋮ Implementing symmetries of a free Bose field via white noise operators ⋮ Infinite dimensional Fock spaces and associated creation and annihilation operators ⋮ ULTRACOHERENCE AND CANONICAL TRANSFORMATIONS

Cites Work

• Unnamed Item
• Tempered distributions in infinitely many dimensions. I: Canonical field operators. II: Displacement operators
• Relative self-adjoint operators in Hilbert space
• On the Theory of Kernels of Schwartz
• On structure of the algebra of field operators
• Linear Symmetries of Free Boson Fields
• Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces

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