Geometric methods in physics XXX Workshop, Białowieża, Poland, June 26 to July 2, 2011 Piotr Kielanowski [and others], editors

Format:

• Book
• Conference/Event

Contributor:

• Kielanowski, P. (Piotr), 1944-

Conference Name:

• Workshop on Geometric Methods in Physics (30th : 2011 : Białowieża, Poland)

Series:

• Trends in mathematics

Language:

English

Subjects (All):

• Geometric quantization--Congresses.
• Mathematical physics--Congresses.
• Mathematics.
• Geometric quantization.
• Mathematical physics.

Medical Subjects:

• Mathematics.

Genre:

• proceedings (reports)
• Conference papers and proceedings

Physical Description:

1 online resource

Place of Publication:

Basel New York Birkhäuser ©2013

System Details:

• text file
• PDF

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

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
• 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
• 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
• 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

Notes:

Includes bibliographical references

Other Format:

Printed edition:

ISBN:

• 9783034804486
• 3034804482
• 3034804474
• 9783034804479

OCLC:

820955210

Access Restriction:

Restricted for use by site license