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Titlebook: Quantum Mathematical Physics; A Bridge between Mat Felix Finster,Johannes Kleiner,Jürgen Tolksdorf Book 2016 Springer International Publish

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Hadamard States From Null Infinity, can be quantized following the algebraic approach. It consists of a two-step procedure: In the first part, one identifies the observables of the underlying physical system collecting them in a ∗-algebra which encodes their relational and structural properties. In the second step, one must identify
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Local Thermal Equilibrium States in Relativistic Quantum Field Theory,us manner by means of the so-called Kubo-Martin-Schwinger (KMS) condition, which is based on certain analyticity and periodicity properties of correlation functions. On the other hand, the characterization of non-equilibrium states which only locally have thermal properties still constitutes a chall
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Categorical Methods in Quantum Field Theory,cs of quantum field theory. Springer, Cham, 2014), to which we refer for the details of our work and a list of references. The main interest of our approach is that it gives a clear mathematical status to the various “spaces of fields” that appear in the treatment of general classical and quantum ga
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Wave Equations with Non-commutative Space and Time,ormal hyperbolic operator, on .-dimensional Minkowski spacetime. The potential term . is a . kernel operator which, in general, will be non-local in time, and . is a complex parameter. A result is presented which states that there are unique advanced and retarded Green’s operators for this partial d
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Thermal Equilibrium States for Quantum Fields on Non-commutative Spacetimes,ns, i.e. at zero temperature. Here we report on work in progress regarding their thermal representations, corresponding to physical states at non-zero temperature, which turn out to be markedly different from both, thermal representations of quantum field theory on commutative Minkowski spacetime, a
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Radiation and Scattering in Non-relativistic Quantum Electrodynamics,pled to the quantized electromagnetic field. This model provides mathematically solid and physically reasonable foundations for a description of all physical processes arising from the interaction of matter and radiation. We review basic notions, results and techniques in the theory of radiation and
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