| Description |
1 online resource |
| Series |
Trends in mathematics |
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Trends in mathematics.
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| Contents |
Part 1. Quantization, Supergeometry and Representation Theory, the Scienti?c Legacy of Felix A. Berezin -- Felix Alexandrovich Berezin and His Work / Alexander Karabegov, Yuri Neretin and Theodore Voronov -- Some Non-standard Examples of Coherent States and Quantization / S. Twareque Ali -- Classical and Quantum Evolution on the Siegel-Jacobi Manifolds / Stefan Berceanu -- Exhausting Formal Quantization Procedures / Vasily A. Dolgushev -- On One Result of F. Berezin / Simon Gindikin -- Berezin Quantization on Para-Hermitian Symmetric Spaces / Vladimir F. Molchanov -- Remarks on Singular Symplectic Reduction and Quantization of the Angular Moment / V.P. Palamodov -- Duality and the Abel Map for Complex Supercurves / Jeffrey M. Rabin -- Berezin's Coherent States, Symbols and Transform for Compact Kähler Manifolds / Martin Schlichenmaier -- Physically Acceptable Solutions of an Eigenvalue Equation in Deformation Quantization / Jaromir Tosiek -- A Classification Theorem and a Spectral Sequence for a Locally Free Sheaf Cohomology of a Supermanifold / E.G. Vishnyakova |
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Part 2. Foundations of Quantum Mechanics -- Bogdan Mielnik: Contributions to Quantum Control / David J. Fernández C. -- Partial Inner Product Spaces, a Unifying Language for Quantum Mechanics / Jean-Pierre Antoine -- The Resonance-Decay Problem in Quantum Mechanics / Hellmut Baumgärtel -- Geometry of the Set of Mixed Quantum States: An Apophatic Approach / Ingemar Bengtsson, Stephan Weis and Karol Życzkowski -- Solution Hierarchies for the Painlevé IV Equation / David Bermúdez and David J. Fernández C. -- The Marvelous Consequences of Hardy Spaces in Quantum Physics / Arno Bohm and Hai Viet Bui -- Factorization Method and the Position-dependent Mass Problem / Sara Cruz y Cruz -- Quantum Configuration Spaces of Extended Objects, Diffeomorphism Group Representations and Exotic Statistics / Gerald A. Goldin -- Convex Geometry: A Travel to the Limits of Our Knowledge / Bogdan Mielnik -- A Time of Arrival Operator on the Circle (Variations on Two Ideas) / Maciej Przanowski, Marcin Skulimowski and Jaromir Tosiek -- Negative Time Delay for Wave Reflection from a One-dimensional Semi-harmonic Well / Oscar Rosas-Ortiz, Sara Cruz y Cruz and Nicolás Fernández-García |
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Part 3. Quantum Groups and Non-commutative Structures -- Characterizing Non-Markovian Dynamics / D. Chruściński and A. Kossakowski -- Deformation Quantization of a Harmonic Oscillator in a General Non-commutative Phase Space: Energy Spectrum in Relevant Representations / Mahouton Norbert Hounkonnou and Dine Ousmane Samary -- Uniqueness Property for C*-algebras Given by Relations with Circular Symmetry / B.K. Kwaśniewski |
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Part 4. General Methods -- On Maximal R -split Tori Invariant under an Involution / Catherine A. Buell -- Pencils of Conics as a Classification Code / Vladimir Dragović -- Geodesic Mappings and Einstein Spaces / Irena Hinterleitner and Josef Mikeš -- Racah Operators / R.S. Ismagilov -- q-discord for Generalized Entropy Functions / Jacek Jurkowski -- Pseudopotentials via Moutard Transformations and Differential Geometry / Sergey Leble -- Proving the Jacobi Identity the Hard Way / Kirill Mackenzie -- Löwner-Kufarev Evolution in the Segal-Wilson Grassmannian / Irina Markina and Alexander Vasil'ev -- The pre-Maxwell Equations / Josef Mikeš, Sergey Stepanov and Marek Jukl -- Serret's Curves, their Generalization and Explicit Parametrizations / Ivaïlo M. Mladenov, Mariana Ts. Hadzhilazova, Peter A. Djondjorov and Vassil M. Vassilev -- Harmonic Spheres Conjecture / Armen Sergeev -- Lax Equations and the Knizhnik-Zamolodchikov Connection / Oleg K. Sheinman -- Short-time Asymptotics for Semigroups of Diffusion Type and Beyond / Stanislav A. Stepin -- Part 5. Special Talk by Bogdan Mielnik -- Bureaucratic World: Is it Unavoidable? / Bogdan Mielnik |
| Summary |
The Białowieża workshops on Geometric Methods in Physics are among the most important meetings in the field. Every year, some 80 to 100 participants from both mathematics and physics join to discuss new developments and to exchange ideas. This volume includes contributions by selected speakers at the 30th meeting in 2011 as well as additional review articles and it shows that the workshop remains at the cutting edge of ongoing research. The 2011 meeting focused on the works of the late Felix A. Berezin (1931-1980) on the occasion of his 80th anniversary as well as on Bogdan Mielnik and Stanisław Lech Woronowicz on the occasion of their 75th and 70th birthdays, respectively. The groundbreaking work of Berezin is discussed from today's perspective by presenting an overview of his ideas and their impact on further developments. He was active in representation theory, general concepts of quantization and coherent states, supersymmetry and supermanifolds, among other fields. Another focus lies on the accomplishments of Bogdan Mielnik and Stanisław Lech Woronowicz. Mielnik's geometric approach to the description of quantum mixed states, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discussed, as are the intricacies of the quantum time operator. Woronowicz' fruitful notion of a compact quantum group and related topics are also addressed |
| Analysis |
Mathematics |
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Group theory |
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Global Analysis and Analysis on Manifolds |
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Quantum Computing |
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Group Theory and Generalizations |
| Bibliography |
Includes bibliographical references |
| Subject |
Geometric quantization -- Congresses
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Mathematical physics -- Congresses
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Mathematics.
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Mathematics
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SCIENCE -- Physics -- Mathematical & Computational.
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Física matemática -- Congresos
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Matemáticas
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Cuantización geométrica -- Congresos
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Mathematics
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Geometric quantization
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Mathematical physics
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Kielanowski, P. (Piotr), 1944-
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| ISBN |
9783034804486 |
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3034804482 |
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3034804474 |
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9783034804479 |
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