[PDF] Path Integrals And Hamiltonians eBook

Author : Belal E. Baaquie
Publisher : Cambridge University Press
Page : 437 pages
File Size : 23,46 MB
Release : 2014-03-27
Category : Science
ISBN : 1139867334

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Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state physics, statistical mechanics, quantum field theory, and superstring theory to financial modeling, polymers, biology, chemistry, and quantum finance. Eschewing use of the Schrödinger equation, the powerful and flexible combination of Hamiltonian operators and path integrals is used to study a range of different quantum and classical random systems, succinctly demonstrating the interplay between a system's path integral, state space, and Hamiltonian. With a practical emphasis on the methodological and mathematical aspects of each derivation, this is a perfect introduction to these versatile mathematical methods, suitable for researchers and graduate students in physics and engineering.

Author : Belal E. Baaquie
Publisher : Cambridge University Press
Page : 334 pages
File Size : 18,78 MB
Release : 2007-07-23
Category : Business & Economics
ISBN : 1139456393

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This book applies the mathematics and concepts of quantum mechanics and quantum field theory to the modelling of interest rates and the theory of options. Particular emphasis is placed on path integrals and Hamiltonians. Financial mathematics is dominated by stochastic calculus. The present book offers a formulation that is completely independent of that approach. As such many results emerge from the ideas developed by the author. This work will be of interest to physicists and mathematicians working in the field of finance, to quantitative analysts in banks and finance firms and to practitioners in the field of fixed income securities and foreign exchange. The book can also be used as a graduate text for courses in financial physics and financial mathematics.

Author : Belal E. Baaquie
Publisher :
Page : 438 pages
File Size : 16,34 MB
Release : 2014-05-14
Category : Differential equations
ISBN : 9781139870689

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Introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.

Author : Valerio Tognetti
Publisher : World Scientific
Page : 642 pages
File Size : 21,6 MB
Release : 1999-04-01
Category :
ISBN : 9814543845

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This book contains the invited contributions to the 6th International Conference on Path Integrals from peV to TeV, held in Florence in 1998. The conference, devoted to functional integration, brought together many physicists with interests ranging from elementary particles to nuclear, solid state, liquid state, polymer and complex systems physics. The variety of topics is reflected in the book, which is a unique collection of papers on manifold applications of functional methods in several areas of physics.

Author : Ennio Gozzi
Publisher : World Scientific Publishing Company
Page : 156 pages
File Size : 29,17 MB
Release : 2015-11-18
Category : Science
ISBN : 9814603953

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This book aims to provide a quick pedagogical introduction to path integrals. It contains original material that never before has appeared in a book, for example the path integrals for the Wigner functions and for Classical Mechanics. This application to Classical Mechanics connects different fields like Hamiltonian mechanics and differential geometry, so the book is suitable for students and researchers from various disciplines.

Author : B. E. Baaquie
Publisher : Cambridge University Press
Page : 437 pages
File Size : 50,26 MB
Release : 2014-03-27
Category : Business & Economics
ISBN : 1107009790

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A succinct introduction to the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics, with a practical emphasis on methodological and mathematical aspects. Essential reading for researchers and graduate students in physics, and engineers whose work touches on quantum mechanics.

Author : Sergio Albeverio
Publisher : Springer
Page : 184 pages
File Size : 30,84 MB
Release : 2008-05-06
Category : Mathematics
ISBN : 3540769560

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The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

Author : Hagen Kleinert
Publisher : World Scientific
Page : 1626 pages
File Size : 43,68 MB
Release : 2009
Category : Business & Economics
ISBN : 9814273570

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Topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions." --Book Jacket.

Author : L. S. Schulman
Publisher : Courier Corporation
Page : 434 pages
File Size : 50,49 MB
Release : 2012-10-10
Category : Science
ISBN : 0486137023

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Suitable for advanced undergraduates and graduate students, this text develops the techniques of path integration and deals with applications, covering a host of illustrative examples. 26 figures. 1981 edition.

Author : Taro Kashiwa
Publisher :
Page : 230 pages
File Size : 37,47 MB
Release : 1997
Category : Mathematics
ISBN : 9780198517719

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Providing a self-contained step-by-step explanation, this book provides a guide to path integral methods for readers with a basic knowledge of quantum mechanics