Particle Weights and Their Disintegration II

@article{Porrmann2002ParticleWA,
  title={Particle Weights and Their Disintegration II},
  author={M. Porrmann},
  journal={Communications in Mathematical Physics},
  year={2002},
  volume={248},
  pages={305-333}
}
  • M. Porrmann
  • Published 2002
  • Physics
  • Communications in Mathematical Physics
The first article in this series presented a thorough discussion of particle weights and their characteristic properties. In this part a disintegration theory for particle weights is developed which yields pure components linked to irreducible representations and exhibiting features of improper energy-momentum eigenstates. This spatial disintegration relies on the separability of the Hilbert space as well as of the C*-algebra. Neither is present in the GNS-representation of a generic particle… Expand
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References

SHOWING 1-10 OF 42 REFERENCES
Particle Weights and Their Disintegration I
The notion of Wigner particles is attached to irreducible unitary representations of the Poincaré group, characterized by parameters m and s of mass and spin, respectively. However, the LorentzExpand
The Concept of Particle Weights in Local Quantum Field Theory
The concept of particle weights has been introduced by Buchholz and the author in order to obtain a unified treatment of particles as well as (charged) infraparticles which do not permit a definitionExpand
Infrateilchen in der Quantenfeldtheorie
It is shown that in the presence of particles of zero rest mass the spectral assumptions of the quantum field theory have to be modified. Particles coupled to zero-rest-mass particles may not beExpand
On Unitary Representations of the Inhomogeneous Lorentz Group
It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold,1 in which a unitary scalar product is defined.2 The states are generallyExpand
Natural Energy Bounds in Quantum Thermodynamics
Abstract: Given a stationary state for a noncommutative flow, we study a boundedness condition, depending on a parameter β>0, which is weaker than the KMS equilibrium condition at inverse temperatureExpand
Topological Vector Spaces
Preface In the notion of a topological vector space, there is a very nice interplay between the algebraic structure of a vector space and a topology on the space, basically so that the vector spaceExpand
Dirac versus Wigner. Towards a universal particle concept in local quantum field theory
Abstract Based on the concept of particle weight a unified description of stable particle-like systems in local quantum field theory is given which applies also to so called infraparticles. ParticleExpand
Collision cross sections in terms of local observables
Asymptotic relations for matrix elements of quasilocal operators are given which generalize and extend the Lehmann-Symanzik-Zimmermann relations. These relations allow the simulation of a coincidenceExpand
Nuclear maps and modular structures II: Applications to quantum field theory
A correspondence between spectral properties of modular operators appearing in quantum field theory and the Hamiltonian is established. It allows to prove the “distal” split property for a wide classExpand
The Energy-Momentum Spectrum in Local Field Theories with Broken Lorentz-Symmetry
Assuming locality of the observables and positivity of the energy it is shown that the joint spectrum of the energy-momentum operators has a Lorentz-invariant lower boundary in all superselectionExpand
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