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Titlebook: Geometric Methods in Physics; XXX Workshop, Białow Piotr Kielanowski,S. Twareque Ali,Theodore Voronov Conference proceedings 2013 Springer

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Geometry of the Set of Mixed Quantum States: An Apophatic Approach structure of this set in the framework of the Euclidean geometry naturally arisingin the space of hermitian matrices. For . this set is the Bloch ball, embedded in .. For . this set of dimensionality . has a much richer structure. We study its properties and at first advocate an apophatic approach,
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The Marvelous Consequences of Hardy Spaces in Quantum Physicsr boundary conditions. The original boundary condition of von Neumann, the Hilbert space axiom, required that the allowed wave functions are Lebesgue square integrable. This leads by a mathematical theorem of Stone-von Neumann to the unitary group evolution meaning the time . extends over .. Physici
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Piotr Kielanowski,S. Twareque Ali,Theodore VoronovMathematically precise discussion of the physical topics.Concise description of the geometry of quantum states with relation to quantum entanglement and quantum computing.Overview of the recent state
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https://doi.org/10.1007/978-1-4419-0359-4 their possible use in quantization. In particular we look at families of coherent states built over Cuntz algebras and suggest applications to non-commutative spaces. The present considerations might also suggest an extension of Berezin-Toeplitz and coherent state quantization to quaternionic Hilbe
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Second-Order Effects on Dynamic Response,n . and Kähler two-form on the Siegel disk . (respectively, the Siegel upper half-plane.). Similar considerations are presented in the case of the Jacobi group acting on Sigel-Jacobi ball. and Siegel-Jacobi space .. We describe the classical and quantum evolution on the Siegel- Jacobi manifolds dete
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Benedikt M. Pötscher,Ingmar R. Pruchaplitz quantization, the Berezin transform, and related natural deformation quantizations (star products). These are the Berezin-Toeplitz, the Berezin, and the Geometric Quantization star product. All three star products exist in this settinga nd are uniquely defined. They are different, but equivale
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Dynamic Oligopolies with Time Delays formulation are recalled. An eigenvalue equation and its solutions in deformation quantization is considered. Criteria of physical acceptability of eigenstates in deformation quantization for systems with phase space . are proposed.
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