Symplectic groups and the Klein-Gordon field

DOI10.1016/0022-1236(78)90011-3zbMath0393.47029OpenAlexW1976779481MaRDI QIDQ1252516

John Palmer

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90011-3

zbMATH Keywords

External Field PerturbationsFock ConstructionFock SpaceFree EquationFree HamiltonianKlein-Gordon EquationKlein-Gordon FieldOperator Valued DistributionsParticle ExcitationsPerturbed Fock RepresentationPerturbed HamiltonianS-MatrixSegal ModelSymplectic Group DynamicsSymplectic SpacesSymplectiv Groups

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) Perturbations of ordinary differential equations (34D10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Scattering theory of linear operators (47A40)

Related Items (8)

C*-algebraic scattering theory and explicitly solvable quantum field theories ⋮ A note on Haag duality ⋮ Projective representations of the loop group and the Boson-Fermion correspondence ⋮ Complex structure and external fields ⋮ Essential unitarization of symplectics and applications to field quantization ⋮ QFT FOR SCALAR PARTICLES IN EXTERNAL FIELDS ON RIEMANNIAN MANIFOLDS ⋮ Spectral and scattering theory of space-cutoff charged \({P(\varphi)_{2}}\) models ⋮ Scattering automorphisms of the Dirac field

Cites Work

• Mathematical characterization of the physical vacuum for a linear Bose- Einstein field
• Scattering automorphisms of the Dirac field
• Relativistic quantum theory for charged spinless particles in external vector fields
• The \(C^ *\)-algebras of a free Boson field
• Existence and uniqueness of the vacuum for linear quantized fields
• Unitary equivalence of Fock representations on the Weyl algebra
• Existence and uniqueness of physical ground states
• Tensor Algebras Over Hilbert Spaces. I
• Foundations of the Theory of Dynamical Systems of Infinitely Many Degrees of Freedom, II
• Quantization of Nonlinear Systems
• Explicit Formal Construction of Nonlinear Quantum Fields
• 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
• On continuity and smoothness of group actions
• The Mathematics of Second Quantization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Symplectic groups and the Klein-Gordon field