Geometric formulation of classical and quantum mechanics / (Record no. 2943719)

MARC details
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control field ocn742413680
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 110725s2011 si ob 001 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency N$T
Language of cataloging eng
Description conventions pn
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Modifying agency E7B
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016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER
Record control number 015655413
Source Uk
019 ## -
-- 741492796
-- 961543481
-- 962587056
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789814313728
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9814313726
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789814313735
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9814313734
Qualifying information (electronic bk.)
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OCLC library identifier DEBBG
System control number BV044156190
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OCLC library identifier DEBSZ
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OCLC library identifier HEBIS
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OCLC library identifier NZ1
System control number 14167681
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)742413680
Canceled/invalid control number (OCoLC)741492796
-- (OCoLC)961543481
-- (OCoLC)962587056
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC174.17.G46
Item number G53 2011eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI
Subject category code subdivision 040000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.155353
Edition number 22
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Giachetta, G.
9 (RLIN) 176764
245 10 - TITLE STATEMENT
Title Geometric formulation of classical and quantum mechanics /
Statement of responsibility, etc Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Singapore ;
-- Hackensack, NJ ;
-- London :
Name of publisher, distributor, etc World Scientific,
Date of publication, distribution, etc ©2011.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xi, 392 pages)
336 ## -
-- text
-- txt
-- rdacontent
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-- computer
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-- rdamedia
338 ## -
-- online resource
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-- data file
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (pages 369-376) and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Dynamic equations. 1.1. Preliminary. Fibre bundles over R. 1.2. Autonomous dynamic equations. 1.3. Dynamic equations. 1.4. Dynamic connections. 1.5. Non-relativistic geodesic equations. 1.6. Reference frames. 1.7. Free motion equations. 1.8. Relative acceleration. 1.9. Newtonian systems. 1.10. Integrals of motion -- 2. Lagrangian mechanics. 2.1. Lagrangian formalism on Q[symbol]R. 2.2. Cartan and Hamilton-De Donder equations. 2.3. Quadratic Lagrangians. 2.4. Lagrangian and Newtonian systems. 2.5. Lagrangian conservation laws. 2.6. Gauge symmetries -- 3. Hamiltonian mechanics. 3.1. Geometry of Poisson manifolds. 3.2. Autonomous Hamiltonian systems. 3.3. Hamiltonian formalism on Q[symbol]R. 3.4. Homogeneous Hamiltonian formalism. 3.5. Lagrangian form of Hamiltonian formalism. 3.6. Associated Lagrangian and Hamiltonian systems. 3.7. Quadratic Lagrangian and Hamiltonian systems. 3.8. Hamiltonian conservation laws. 3.9. Time-reparametrized mechanics -- 4. Algebraic quantization. 4.1. GNS construction. 4.2. Automorphisms of quantum systems. 4.3. Banach and Hilbert manifolds. 4.4. Hilbert and C*-algebra bundles. 4.5. Connections on Hilbert and C*-algebra bundles. 4.6. Instantwise quantization -- 5. Geometric quantization. 5.1. Geometric quantization of symplectic manifolds. 5.2. Geometric quantization of a cotangent bundle. 5.3. Leafwise geometric quantization. 5.4. Quantization of non-relativistic mechanics. 5.5. Quantization with respect to different reference frames -- 6. Constraint Hamiltonian systems. 6.1. Autonomous Hamiltonian systems with constraints. 6.2. Dirac constraints. 6.3. Time-dependent constraints. 6.4. Lagrangian constraints. 6.5. Geometric quantization of constraint systems -- 7. Integrable Hamiltonian systems. 7.1. Partially integrable systems with non-compact invariant submanifolds. 7.2. KAM theorem for partially integrable systems. 7.3. Superintegrable systems with non-compact invariant submanifolds. 7.4. Globally superintegrable systems. 7.5. Superintegrable Hamiltonian systems. 7.6. Example. Global Kepler system. 7.7. Non-autonomous integrable systems. 7.8. Quantization of superintegrable systems -- 8. Jacobi fields. 8.1. The vertical extension of Lagrangian mechanics. 8.2. The vertical extension of Hamiltonian mechanics. 8.3. Jacobi fields of completely integrable systems -- 9. Mechanics with time-dependent parameters. 9.1. Lagrangian mechanics with parameters. 9.2. Hamiltonian mechanics with parameters. 9.3. Quantum mechanics with classical parameters. 9.4. Berry geometric factor. 9.5. Non-adiabatic holonomy operator -- 10. Relativistic mechanics. 10.1. Jets of submanifolds. 10.2. Lagrangian relativistic mechanics. 10.3. Relativistic geodesic equations. 10.4. Hamiltonian relativistic mechanics. 10.5. Geometric quantization of relativistic mechanics.
520 ## - SUMMARY, ETC.
Summary, etc The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations. This formulation of mechanics as like as that of classical field theory lies in the framework of general theory of dynamic systems, and Lagrangian and Hamiltonian formalisms on fiber bundles. The reader will find a strict mathematical exposition of non-autonomous dynamic systems, Lagrangian and Hamiltonian non-relativistic mechanics, relativistic mechanics, quantum non-autonomous mechanics, together with a number of advanced models - superintegrable systems, non-autonomous constrained systems and theory of Jacobi fields. It also contains information on mechanical systems with time-dependent parameters, non-adiabatic Berry phase theory, instantwise quantization, and quantization relative to different reference frames.
588 0# -
-- Print version record.
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 Mechanics
General subdivision Mathematics.
9 (RLIN) 375690
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum theory
General subdivision Mathematics.
9 (RLIN) 45898
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, Differential.
9 (RLIN) 145628
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical physics.
9 (RLIN) 68435
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mécanique
General subdivision Mathématiques.
9 (RLIN) 1514898
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Théorie quantique
General subdivision Mathématiques.
9 (RLIN) 900073
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Géométrie différentielle.
9 (RLIN) 885495
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physique mathématique.
9 (RLIN) 869494
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element SCIENCE
General subdivision Physics
-- Mathematical & Computational.
Source of heading or term bisacsh
9 (RLIN) 875334
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, Differential.
Source of heading or term fast
-- (OCoLC)fst00940919
9 (RLIN) 145628
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical physics.
Source of heading or term fast
-- (OCoLC)fst01012104
9 (RLIN) 68435
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mechanics
General subdivision Mathematics.
Source of heading or term fast
-- (OCoLC)fst01013460
9 (RLIN) 375690
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum theory
General subdivision Mathematics.
Source of heading or term fast
-- (OCoLC)fst01085135
9 (RLIN) 45898
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Magiaradze, L. G.
9 (RLIN) 276398
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sardanashvili, G. A.
Fuller form of name (Gennadiĭ Aleksandrovich)
9 (RLIN) 904602
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading Giachetta, G.
Title Geometric formulation of classical and quantum mechanics.
Place, publisher, and date of publication Singapore ; Hackensack, NJ ; London : World Scientific, ©2011
International Standard Book Number 9789814313728
Record control number (OCoLC)613430950
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=374879">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=374879</a>
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Holdings
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