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Titlebook: Recent Developments in Mathematical Physics; Proceedings of the X Heinrich Mitter,Ludwig Pittner Conference proceedings 1987 Springer-Verla

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,Schrödinger Operators with Random and Almost Periodic Potentials,ple function of an ergodic process. Examples include almost periodic functions and random processes. A particularly simple random example occurs in the discrete case where one can take V to be independent, identically distributed random variables with distribution d.. This is known as the Anderson model.
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,Classical Non-Linear σ-Models on Grassmann Manifolds, carries either an Euclidean or a Minkowskian metric. The most interesting models correspond to manifolds M that are (pseudo-) Riemannian symmetric spaces, and we will concentrate on those. For convenience, we repeat here briefly the main definitions.
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On Relativistic Irreducible Quantum Fields Fulfilling CCR,tes given by HERBST [2] we shall show that irreducible Bose fields which fulfill CCR are free fields in d > 3 space dimensions. In d = 3 and d = 2 space dimensions CCR restricts the interaction to be renormalizable. The superrenormalizable models do fulfill CCR as we know from Constructive Quantum Field Theory.
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Lattice Gauge Theories with Continuous Time and Decimation, obtain a cluster expansion on a block lattice which remains convergent in the time continuum limit. The phase diagram of the pure Lattice Yang Mills theory is discussed in detail, both for continuous and for discrete groups.
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,Krein’s Spectral Shift Function and Supersymmetric Quantum Mechanics,There has been considerable interest in fractionally charged states during the last ten years [1], It all started in field theory with the observation that soliton-monopole systems in the presence of Fermi fields show fractionization of the soliton fermion number [2].
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