Tag: Quantization

Free Download Quantization, Coherent States, and Complex Structures By Daniel Canarutto, Arkadiusz Jadczyk, Marco Modugno (auth.), J.-P. Antoine, S. Twareque Ali, W. Lisiecki, I. M. Mladenov, A. Odzijewicz (eds.)
1995 | 302 Pages | ISBN: 148991062X | PDF | 10 MB
The XIIIth Bialowieza Summer Workshop was held from July 9 to 15, 1994. While still within the general framework of Differential Geometric Methods in Physics, the XnIth Workshop was expanded in scope to include quantum groups, q-deformations and non-commutative geometry. It is expected that lectures on these topics will now become an integral part of future workshops. In the more traditional areas, lectures were devoted to topics in quantization, field theory, group representations, coherent states, complex and Poisson structures, the Berry phase, graded contractions and some infinite-dimensional systems. Those of us who have taken part in the evolution of the workshops over the years, feel a good measure of satisfaction with the excellent quality of the papers presented, in particular the mathematical rigour and novelty. Each year a significant number of new results are presented and future directions of research are discussed. Their freshness and immediacy inevitably leads to intense discussions and an exchange of ideas in an informal and physically charming environment. The present workshop also had a higher attendance than its predecessors, with ap proximately 65 registered participants. As usual, there was a large number of graduate students and young researchers among them.

Free Download Geometry, Topology and Quantization By Pratul Bandyopadhyay (auth.)
1996 | 230 Pages | ISBN: 940106282X | PDF | 19 MB
This is a monograph on geometrical and topological features which arise in various quantization procedures. Quantization schemes consider the feasibility of arriving at a quantum system from a classical one and these involve three major procedures viz. i) geometric quantization, ii) Klauder quantization, and iii) stochastic quanti zation. In geometric quantization we have to incorporate a hermitian line bundle to effectively generate the quantum Hamiltonian operator from a classical Hamil tonian. Klauder quantization also takes into account the role of the connection one-form along with coordinate independence. In stochastic quantization as pro posed by Nelson, Schrodinger equation is derived from Brownian motion processes; however, we have difficulty in its relativistic generalization. It has been pointed out by several authors that this may be circumvented by formulating a new geometry where Brownian motion proceses are considered in external as well as in internal space and, when the complexified space-time is considered, the usual path integral formulation is achieved. When this internal space variable is considered as a direc tion vector introducing an anisotropy in the internal space, we have the quantization of a Fermi field. This helps us to formulate a stochastic phase space formalism when the internal extension can be treated as a gauge theoretic extension. This suggests that massive fermions may be considered as Skyrme solitons. The nonrelativistic quantum mechanics is achieved in the sharp point limit.

Free Download Field Quantization By Professor Dr. Walter Greiner, Dr. Joachim Reinhardt (auth.)
1996 | 447 Pages | ISBN: 3540780483 | PDF | 13 MB
This reprint has been authorized by Springer-Verlag for sale in Africa, Middle/South America, Israel, Jordan, Lebanon, Saudia-Arabia, Syria, South-East-Asia and China only

Free Download New Non-Perturbative Methods and Quantization on the Light Cone: Les Houches School, February 24 – March 7, 1997 By P. Grangé, A. Neveu, H. C. Pauli, S. Pinsky, E. Werner (auth.), P. Grangé, A. Neveu, H. C. Pauli, S. Pinsky, E. Werner (eds.)
1998 | 309 Pages | ISBN: 3540645209 | PDF | 10 MB
Among the several distinct ways of formulating and quantizing a Hamiltonian system, the light cone approach enjoys special status because it has the largest stability group. The aim of this volume is to present recent achievements and open problems in this rather unusual quantization framework to a large audience. The formulation is set up in a comprehensive introduction where the issues are also clearly indicated with specific examples: vacuum structure, signature of non-perturbative effects, chiral symmetry breaking, light cone gauge theories, etc. The following chapters address these topics through a selection of the most relevant contributions presented at Les Houches.This volume should prove valuable to newcomers in the field, and graduates and academics.

Free Download Geometric Quantization and Applications to Fields and Fluids
English | 2024 | ISBN: 3031658000 | 139 Pages | PDF EPUB (True) | 8 MB
This open access book explains geometric quantization from a physicist’s perspective. After presenting the general formalism, it delves into several examples reflecting current research interests in high-energy physics and condensed matter physics. Applications explore Chern-Simons theory, theta vacuum, the Hall effect, fluid dynamics, and elements of noncommutative geometry.

Free Download Field Theory, Quantization and Statistical Physics: In Memory of Bernard Jouvet by E. Tirapegui
English | PDF | 1981 | 332 Pages | ISBN : 9027711283 | 22.1 MB
It is with great emotion that we present here this volume dedicated to the memory of Bernard Jouvet, Docteur es Sciences, Directeur des Recher ches at the Centre National pour la Recherche Scientifique. The life and the career as a physicist of Professor Jouvet are evoked in the following pages by Professor F. Cerulus, a friend of long standing of Professor Jouvet. The contributions have been written by physicists who were friends, collaborators or former students of Professor Jouvet. I express here my gratitude for their contributions.

Free Download Born-Jordan Quantization: Theory and Applications by Maurice A. de Gosson
English | PDF (True) | 2016 | 226 Pages | ISBN : 3319279009 | 2.8 MB
This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born-Jordan scheme is used. Thus, Born-Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book we develop Born-Jordan quantization from an operator-theoretical point of view, and analyze in depth the conceptual differences between the two schemes. We discuss various physically motivated approaches, in particular the Feynman-integral point of view. One important and intriguing feature of Born-Jordan quantization is that it is not one-to-one: there are infinitely many classical observables whose quantization is zero.

Free Download Marginal and Functional Quantization of Stochastic Processes by Harald Luschgy , Gilles Pagès
English | PDF (True) | 2023 | 918 Pages | ISBN : 3031454634 | 16.8 MB
Vector Quantization, a pioneering discretization method based on nearest neighbor search, emerged in the 1950s primarily in signal processing, electrical engineering, and information theory. Later in the 1960s, it evolved into an automatic classification technique for generating prototypes of extensive datasets. In modern terms, it can be recognized as a seminal contribution to unsupervised learning through the k-means clustering algorithm in data science.

Free Download Llm Model Quantization – An Overview
Published 11/2023
MP4 | Video: h264, 1920×1080 | Audio: AAC, 44.1 KHz
Language: English | Size: 242.65 MB | Duration: 0h 44m
A General Introduction and Overview of LLM Model Quantization Techniques and Practices