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" Geometric methods in physics XXXVI : "
Piotr Kielanowski, Anatol Odzijewicz, Emma Previato, editors.
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BL
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| Record Number
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859392
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| Main Entry
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Workshop on Geometric Methods in Physics(36th :2017 :, Białowieża, Województwo Podlaskie, Poland)
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Geometric methods in physics XXXVI : : Workshop and Summer School, Białowieża, Poland, 2017 /\ Piotr Kielanowski, Anatol Odzijewicz, Emma Previato, editors.
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| Publication Statement
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Cham, Switzerland :: Birkhäuser,, 2019.
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| Series Statement
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Trends in mathematics,
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1 online resource (x, 425 pages) :: illustrations (some color)
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| ISBN
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3030011569
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: 9783030011567
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9783030011550
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| Contents
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Intro; Contents; Preface; Part I Quantum Mechanics and Mathematics Twareque Ali in Memoriam; In Memory of S. Twareque Ali; 1. Remembering Twareque; 2. A short scientific biography; 3. Concluding thoughts; Acknowledgment; References; Two-dimensional Noncommutative Swanson Model and Its Bicoherent States; 1. Introduction; 2. Noncommutative two-dimensional harmonic oscillator with linear terms; 3. Bi-coherent states; 3.1. A general theorem; 3.2. Back to Swanson; 3.3. What if V is complex; 4. Conclusions; Acknowledgment; References; Universal Markov Kernels for Quantum Observables
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1. Introduction2. Joint Measurability; 3. Universal Markov kernel; Acknowledgment; References; Coherent States Associated to the Jacobi Group and Berezin Quantization of the Siegel-Jacobi Ball; 1. Introduction; 2. Balanced metric on the Siegel-Jacobi ball via coherent states; Geometric characterization of DJ n and Berezin quantization; Acknowledgment; References; 1D & 2D Covariant Affine Integral Quantizations; 1. Covariant integral quantization(s) for a group; 2. Covariant affine integral quantization; 2.1. The group framework; 2.2. Affine quantization; 2.3. Some formulae
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2.4. Semi-classical portraits3. Affine Wigner integral quantization; 4. Conclusion; References; Diffeomorphism Group Representations in Relativistic Quantum Field Theory; 1. Introduction; 2. Diffeomorphism groups in Galilean quantum theory; 3. Hierarchies of representations; 4. The diffeomorphism group and the free relativistic neutral scalar Bose field; 5. Relativistic QFT from diffeomorphism group representations: General approach; 5.1. Motivation; 5.2. Anticipated steps; 5.3. Constructing the relativistic free neutral scalar field
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5.4. The free relativistic Hamiltonian in terms of local currents6. Discussion and concluding remarks; Acknowledgment; References; Part II Noncommutative Geometry; Skew Derivations on Down-up Algebras; 1. Motivation and introduction; 2. Generalized down-up and Weyl algebras; 3. Skew derivations on generalized down-up algebras; Acknowledgment; References; On Noncommutative Geometry of the Standard Model: Fermion Multiplet as Internal Forms; 1. Introduction; 2. Introduction; 2.1. Canonical spectral triple; 2.2. Hodge-deRham spectral triple
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| Abstract
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This book collects papers based on the XXXVI Białowieża Workshop on Geometric Methods in Physics, 2017. The Workshop, which attracts a community of experts active at the crossroads of mathematics and physics, represents a major annual event in the field. Based on presentations given at the Workshop, the papers gathered here are previously unpublished, at the cutting edge of current research, and primarily grounded in geometry and analysis, with applications to classical and quantum physics. In addition, a Special Session was dedicated to S. Twareque Ali, a distinguished mathematical physicist at Concordia University, Montreal, who passed away in January 2016. For the past six years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising a series of advanced lectures for graduate students and early-career researchers. The extended abstracts of this year?s lecture series are also included here. The unique character of the Workshop-and-School series is due in part to the venue: a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in eastern Poland. Lectures are given in the Nature and Forest Museum, and local traditions are interwoven with the scientific activities.
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Geometric quantization, Congresses.
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Mathematical physics, Congresses.
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Geometric quantization.
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Mathematical physics.
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Global Analysis and Analysis on Manifolds.
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Geometry.
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Group Theory and Generalizations.
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Special Functions.
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| Dewey Classification
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530.15
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| LC Classification
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QC174.17.G46
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| Added Entry
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Kielanowski, P., (Piotr),1944-
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Odzijewicz, A.
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Previato, Emma
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| Parallel Title
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Geometric methods in physics 36
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