Results 81 to 90 of about 111,398 (133)
Algebraic QFT & Local Gauge Invariance (Mathematical Aspects of Quantum Fields and Related Topics)
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Mathematical aspects of the operator algebraic approach to quantum field theory
2023Im ersten Kapitel rekonstruieren wir die algebraische Quantentheorie und beweisen Sakais Charakterisierung von von-Neumann-Algebren, wobei wir dem Ansatz von Takesaki und Tomiyama folgen. Im zweiten Kapitel betrecten wir zusätzliche Beschränkungen aus der Relativitäts theorie die Objekte der Quantentheorie fest und untersuchen die Konsequen- zen ...
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Theoretical and Mathematical Physics, 1988
A new and extremely important property of the algebraic structure of symmetries of nonlinear infinite-dimensional integrable Hamiltonian dynamical systems is described. It is shown that their invariance groups are isomorphic to a unique universal Banach Lie group of currents \(G={\mathcal S}\odot Diff(T^ n)\) on an n-dimensional torus \(T^ n ...
Bogolyubov, N. N. jun. +1 more
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A new and extremely important property of the algebraic structure of symmetries of nonlinear infinite-dimensional integrable Hamiltonian dynamical systems is described. It is shown that their invariance groups are isomorphic to a unique universal Banach Lie group of currents \(G={\mathcal S}\odot Diff(T^ n)\) on an n-dimensional torus \(T^ n ...
Bogolyubov, N. N. jun. +1 more
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Algebras of unbounded operators and vacuum superselection rules in quantum field theory
Theoretical and Mathematical Physics, 1984The algebraic structure of quantum-field systems with vacuum superselection rules is analyzed in the framework of Wightman axiomatics on the basis of the mathematical formalism developed in Part I [ibid. 59, 28-48 (1984; Zbl 0559.47033)]. Two main theorems are obtained.
Voronin, A. V. +2 more
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Quantum Algebras and Poisson Geometry in Mathematical Physics
2005Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances by M. Karasev Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields by M. Karasev and E. Novikova Poisson structures and linear Euler systems over symplectic manifolds by Y. Vorobjev Poisson equivalence over a symplectic
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