Titlebook: Differential Geometry, Group Representations, and Quantization; Jö-Dieter Hennig,Wolfgang Lücke,Jiří Tolar Conference proceedings 1991 Spr

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Conference proceedings 1991ide variety of applications of these techniques in classical continuum physics, gauge theories, quantization procedures, and the foundations of quantum theory. The articles, written by leading scientists, address both researchers and grad- uate students in mathematics, physics, and philosophy of science.

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https://doi.org/10.1007/978-3-531-92619-3The role of boundary conditions for Yang-Mills fields in spatially bounded domains is examined. It is shown that the conservation laws and the structure of the constraints depend on the choice of boundary conditions. The difficulties due to lack of any existence and uniqueness theorems for mixed problems in Yang-Mills theory are discussed.

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Rund um den Aufenthalt in der Klinik,A different point. of view on discretisation of the classical theory of the Dirac equation is given. Canonical structure of the model is given, the Cauchy problem is formulated and solved, fermion doubling is discussed and a solution via time conserved constraints is proposed.

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Parallel transport of phases,General features of the concept of Berry‘s phase are reported and extended to parallel transport based on curves of density operators. Product. integral representations and a natural connection are introduced.