Hamiltonian Mechanics of Gauge Systems. (Record no. 2955642)

MARC details
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fixed length control field 120402s2011 enk ob 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2012359977
040 ## - CATALOGING SOURCE
Original cataloging agency EBLCP
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781139187992
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1139187996
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511976209
Qualifying information (ebook)
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International Standard Book Number 0511976208
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521895125
Qualifying information (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 052189512X
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781139190596
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International Standard Book Number 9781139183376
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Standard number or code 9786613383938
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OCLC library identifier DEBSZ
System control number 372890377
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OCLC library identifier DEBSZ
System control number 379324962
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System control number (OCoLC)782877022
Canceled/invalid control number (OCoLC)772000583
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037 ## - SOURCE OF ACQUISITION
Stock number 338393
Source of stock number/acquisition MIL
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC793
072 #7 - SUBJECT CATEGORY CODE
Subject category code PH
Source bicssc
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Subject category code SCI
Subject category code subdivision 067000
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082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.1435
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Prokhorov, Lev V.
9 (RLIN) 287322
245 10 - TITLE STATEMENT
Title Hamiltonian Mechanics of Gauge Systems.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Cambridge :
Name of publisher, distributor, etc Cambridge University Press,
Date of publication, distribution, etc 2011.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (486 pages)
336 ## -
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-- txt
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490 1# - SERIES STATEMENT
Series statement Cambridge Monographs on Mathematical Physics
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover; HAMILTONIAN MECHANICS OF GAUGE SYSTEMS; CAMBRIDGE MONOGRAPHS ON MATHEMATICAL PHYSICS; Title; Copyright; Contents; Preface; 1 Hamiltonian formalism; 1.1 Hamilton's principle of stationary action; 1.1.1 Poincaré equations; 1.1.2 The existence of a Lagrangian for a dynamical system; 1.2 Hamiltonian equations of motion; 1.3 The Poisson bracket; 1.4 Canonical transformations; 1.5 Generating functions of canonical transformations; 1.6 Symmetries and integrals of motion; 1.6.1 Noether's theorem; 1.6.2 Integrals of motion and symmetry groups; 1.7 Lagrangian formalism for Grassmann variables.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 1.8 Hamiltonian formalism for Grassmann variables1.9 Hamiltonian dynamics on supermanifolds; 1.10 Canonical transformations on symplectic supermanifolds; 1.10.1 Hamilton-Jacobi theory; 1.11 Noether's theorem for systems on supermanifolds; 1.11.1 Supersymmetry; 1.12 Non-canonical transformations; 1.13 Examples of systems with non-canonical symplectic structures; 1.13.1 A particle with friction; 1.13.2 q-Oscillator; 1.14 Some generalizations of the Hamiltonian dynamics; 1.14.1 Nambu Mechanics; 1.14.2 Lie-Poisson symplectic structure; 1.14.3 Non-symplectic structures.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 1.15 Hamiltonian mechanics. Recent developments2 Hamiltonian path integrals; 2.1 Introduction; 2.1.1 Preliminary remarks; 2.1.2 Quantization; 2.2 Hamiltonian path integrals in quantum mechanics; 2.2.1 Definition of the Hamiltonian path integral; 2.2.2 Lagrangian path integrals; 2.3 Non-standard terms and basic equivalence rules; 2.3.1 Non-standard terms; 2.3.2 Basic equivalence rules; 2.3.3 Basic integrals in curvilinear coordinates. Lagrangian basic equivalence rules; 2.4 Equivalence rules; 2.4.1 Hamiltonian equivalence rules; 2.4.2 Lagrangian equivalence rules.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2.5 Rules for changing the base point2.5.1 Ambiguities of the formal expression (2.8); 2.5.2 Rules for changing the base point; 2.6 Canonical transformations and Hamiltonian path integrals; 2.6.1 Preliminary remarks; 2.6.2 Change of variables in Lagrangian path integrals. Coordinates topologically equivalent to Cartesian coordinates; 2.6.3 Canonical and unitary transformations; 2.6.4 Canonical transformations of the Hamiltonian path integrals; 2.7 Problems with non-trivial boundary conditions; 2.7.1 A particle in an infinite well; 2.7.2 A particle in a disk.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2.7.3 General problems with zero boundary conditions2.7.4 A particle in the potential qk; 2.7.5 Topologically nontrivial coordinates; 2.8 Quantization by the path integral method; 2.8.1 Lagrangian formalism; 2.8.2 Hamiltonian formalism; 3 Dynamical systems with constraints; 3.1 Introduction; 3.1.1 Comparison of the Lagrange and d'Alambert methods for constrained dynamics; 3.2 A general analysis of dynamical systems with constraints; 3.2.1 The Hamiltonian formalism; 3.2.2 Examples of systems with constraints; 3.2.3 The Lagrangian formalism; 3.3 Physical variables in systems with constraints.
500 ## - GENERAL NOTE
General note 3.3.1 The extended group of gauge transformations.
520 ## - SUMMARY, ETC.
Summary, etc An introduction to Hamiltonian mechanics of systems with gauge symmetry for graduate students and researchers in theoretical and mathematical physics.
588 0# -
-- Print version record.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (pages 452-462) and index.
546 ## - LANGUAGE NOTE
Language note English.
590 ## - LOCAL NOTE (RLIN)
Local note eBooks on EBSCOhost
Provenance (VM) [OBSOLETE] EBSCO eBook Subscription Academic Collection - Worldwide
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Gauge invariance.
9 (RLIN) 252412
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Hamiltonian systems.
9 (RLIN) 148308
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Invariance de jauge.
9 (RLIN) 1138308
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Systèmes hamiltoniens.
9 (RLIN) 876855
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element SCIENCE
General subdivision Waves & Wave Mechanics.
Source of heading or term bisacsh
9 (RLIN) 872137
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Gauge invariance.
Source of heading or term fast
-- (OCoLC)fst00938998
9 (RLIN) 252412
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Hamiltonian systems.
Source of heading or term fast
-- (OCoLC)fst00950772
9 (RLIN) 148308
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic book.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
655 #7 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
Source of term lcgft
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Shabanov, Sergei V.
9 (RLIN) 287323
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading Prokhorov, Lev V.
Title Hamiltonian Mechanics of Gauge Systems.
Place, publisher, and date of publication Cambridge : Cambridge University Press, ©2011
International Standard Book Number 9780521895125
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge monographs on mathematical physics.
9 (RLIN) 128956
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=409033">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=409033</a>
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