Hamiltonian Mechanics of Gauge Systems.

An introduction to Hamiltonian mechanics of systems with gauge symmetry for graduate students and researchers in theoretical and mathematical physics.

Saved in:
Bibliographic Details
Main Author: Prokhorov, Lev V.
Other Authors: Shabanov, Sergei V.
Format: Electronic eBook
Language:English
Published: Cambridge : Cambridge University Press, 2011.
Series:Cambridge monographs on mathematical physics.
Subjects:
Online Access:CONNECT

MARC

LEADER 00000cam a2200000 4500
001 mig00005384344
006 m o d
007 cr |n|---|||||
008 120402s2011 enk ob 001 0 eng d
005 20240613154318.5
015 |a GBB0A7531  |2 bnb 
016 7 |a 015644145  |2 Uk 
019 |a 772000583  |a 776970561  |a 778619925  |a 802261460  |a 990541438  |a 1042898079  |a 1043672741  |a 1066640510  |a 1076635039  |a 1081224843  |a 1102542524  |a 1153468813  |a 1162530109  |a 1170664170  |a 1170747776  |a 1228586340  |a 1264916285 
020 |a 9781139187992 
020 |a 1139187996 
020 |a 9780511976209  |q (ebook) 
020 |a 0511976208  |q (ebook) 
020 |a 9780521895125  |q (hardback) 
020 |a 052189512X  |q (hardback) 
020 |a 9781139190596  |q (electronic bk.) 
020 |a 1139190598  |q (electronic bk.) 
020 |a 9781139185684 
020 |a 1139185683 
020 |a 1107219434 
020 |a 9781107219434 
020 |a 1139637770 
020 |a 9781139637770 
020 |a 1283383934 
020 |a 9781283383936 
020 |a 1139189298 
020 |a 9781139189293 
020 |a 9786613383938 
020 |a 6613383937 
020 |a 1139183370 
020 |a 9781139183376 
024 8 |a 9786613383938 
035 |a 1WRLDSHRocn782877022 
035 |a (OCoLC)782877022  |z (OCoLC)772000583  |z (OCoLC)776970561  |z (OCoLC)778619925  |z (OCoLC)802261460  |z (OCoLC)990541438  |z (OCoLC)1042898079  |z (OCoLC)1043672741  |z (OCoLC)1066640510  |z (OCoLC)1076635039  |z (OCoLC)1081224843  |z (OCoLC)1102542524  |z (OCoLC)1153468813  |z (OCoLC)1162530109  |z (OCoLC)1170664170  |z (OCoLC)1170747776  |z (OCoLC)1228586340  |z (OCoLC)1264916285 
037 |a 338393  |b MIL 
040 |a EBLCP  |b eng  |e pn  |c EBLCP  |d OCLCQ  |d AUD  |d IDEBK  |d OCLCO  |d OCLCQ  |d DEBSZ  |d OCLCQ  |d OCLCO  |d OCLCF  |d CDX  |d COO  |d YDXCP  |d E7B  |d UIU  |d UPM  |d N$T  |d OCLCQ  |d LIP  |d OCLCQ  |d UAB  |d OCLCQ  |d COCUF  |d STF  |d CEF  |d CUY  |d MERUC  |d ZCU  |d ICG  |d K6U  |d LOA  |d VT2  |d U3W  |d OCLCQ  |d WYU  |d LVT  |d TKN  |d DKC  |d AU@  |d OCLCQ  |d UKAHL  |d OL$  |d G3B  |d OCLCQ  |d UKCRE  |d VLY  |d AJS  |d INTCL  |d OCLCO  |d OCLCQ  |d OCLCO  |d SFB 
049 |a TXMM 
050 4 |a QC793 
082 0 4 |a 530.1435 
100 1 |a Prokhorov, Lev V. 
245 1 0 |a Hamiltonian Mechanics of Gauge Systems. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2011. 
300 |a 1 online resource (486 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a data file 
490 1 |a Cambridge Monographs on Mathematical Physics 
505 0 |a 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 |a 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 |a 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 |a 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 |a 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 |a 3.3.1 The extended group of gauge transformations. 
520 |a An introduction to Hamiltonian mechanics of systems with gauge symmetry for graduate students and researchers in theoretical and mathematical physics. 
588 0 |a Print version record. 
504 |a Includes bibliographical references (pages 452-462) and index. 
546 |a English. 
500 |a EBSCO eBook Academic Comprehensive Collection North America  |5 TMurS 
650 0 |a Gauge invariance. 
650 0 |a Hamiltonian systems. 
700 1 |a Shabanov, Sergei V. 
730 0 |a WORLDSHARE SUB RECORDS 
776 0 8 |i Print version:  |a Prokhorov, Lev V.  |t Hamiltonian Mechanics of Gauge Systems.  |d Cambridge : Cambridge University Press, ©2011  |z 9780521895125 
830 0 |a Cambridge monographs on mathematical physics. 
856 4 0 |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=409033&authtype=ip,sso&custid=s4672406  |z CONNECT  |3 eBooks on EBSCOhost  |t 0 
907 |a 4657854  |b 05-25-21  |c 07-02-20 
949 |a ho0 
994 |a 92  |b TXM 
998 |a wi  |d z 
999 f f |s 6443220d-8840-4899-96a3-82bf0917fd9a  |i 44600567-7a25-4fe1-9042-6ba305346c9f  |t 0 
952 f f |a Middle Tennessee State University  |b Main  |c James E. Walker Library  |d Electronic Resources  |t 0  |e QC793   |h Library of Congress classification