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1	Change without time relationalism and field quantization / Simon, Johannes. January 1900 (has links) (PDF) Regensburg, Univ., Diss., 2004. / Computerdatei im Fernzugriff. Feldquantisierung
2	Change without time relationalism and field quantization / Simon, Johannes. January 1900 (has links) (PDF) Regensburg, University, Diss., 2004. Feldquantisierung
3	Fedosov Quantization and Perturbative Quantum Field Theory Collini, Giovanni 11 May 2017 (has links) (PDF) Fedosov has described a geometro-algebraic method to construct in a canonical way a deformation of the Poisson algebra associated with a finite-dimensional symplectic manifold (\\\"phase space\\\"). His algorithm gives a non-commutative, but associative, product (a so-called \\\"star-product\\\") between smooth phase space functions parameterized by Planck\\\'s constant ℏ, which is treated as a deformation parameter. In the limit as ℏ goes to zero, the star product commutator goes to ℏ times the Poisson bracket, so in this sense his method provides a quantization of the algebra of classical observables. In this work, we develop a generalization of Fedosov\\\'s method which applies to the infinite-dimensional symplectic \\\"manifolds\\\" that occur in Lagrangian field theories. We show that the procedure remains mathematically well-defined, and we explain the relationship of this method to more standard perturbative quantization schemes in quantum field theory. Quantum Field Theory Deformation Quantization Self-interacting fields Perturabative Quantization Fedosov Quantization Quantum Field Theory Deformation Quantization Self-interacting fields Perturabative Quantization Fedosov Quantization ddc:539 Quantenfeldtheorie Deformationsquantisierung Feldquantisierung Quantisierung <Physik> Algebraische Quantenfeldtheorie Störungstheorie
4	Fedosov Quantization and Perturbative Quantum Field Theory Collini, Giovanni 08 December 2016 (has links) Fedosov has described a geometro-algebraic method to construct in a canonical way a deformation of the Poisson algebra associated with a finite-dimensional symplectic manifold (\\\"phase space\\\"). His algorithm gives a non-commutative, but associative, product (a so-called \\\"star-product\\\") between smooth phase space functions parameterized by Planck\\\''s constant ℏ, which is treated as a deformation parameter. In the limit as ℏ goes to zero, the star product commutator goes to ℏ times the Poisson bracket, so in this sense his method provides a quantization of the algebra of classical observables. In this work, we develop a generalization of Fedosov\\\''s method which applies to the infinite-dimensional symplectic \\\"manifolds\\\" that occur in Lagrangian field theories. We show that the procedure remains mathematically well-defined, and we explain the relationship of this method to more standard perturbative quantization schemes in quantum field theory. info:eu-repo/classification/ddc/539 ddc:539

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