MARC details
000 -LEADER |
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07467cam a2200817 a 4500 |
001 - CONTROL NUMBER |
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ocn742413680 |
003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION |
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20220713071901.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cnu---unuuu |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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110725s2011 si ob 001 0 eng d |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
N$T |
Language of cataloging |
eng |
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pn |
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E7B |
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OCLCQ |
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016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
Record control number |
015655413 |
Source |
Uk |
019 ## - |
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741492796 |
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961543481 |
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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.) |
029 1# - (OCLC) |
OCLC library identifier |
AU@ |
System control number |
000047752790 |
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OCLC library identifier |
AU@ |
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000048829177 |
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AU@ |
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000051582492 |
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DEBBG |
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BV043082072 |
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DEBBG |
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BV044156190 |
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DEBSZ |
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372878911 |
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DEBSZ |
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379321491 |
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DEBSZ |
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421583819 |
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DEBSZ |
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454995644 |
029 1# - (OCLC) |
OCLC library identifier |
HEBIS |
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286064685 |
029 1# - (OCLC) |
OCLC library identifier |
NZ1 |
System control number |
14167681 |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
(OCoLC)742413680 |
Canceled/invalid control number |
(OCoLC)741492796 |
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(OCoLC)961543481 |
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(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 ; |
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Hackensack, NJ ; |
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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 ## - |
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text |
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txt |
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rdacontent |
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computer |
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rdamedia |
338 ## - |
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online resource |
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rdacarrier |
347 ## - |
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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# - |
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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 |
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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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EBL731099 |
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ebrary |
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ebr10480121 |
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EBSCOhost |
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EBSC |
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374879 |
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YBP Library Services |
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YANK |
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6965125 |
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92 |
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INOPJ |