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.
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Format: | Electronic eBook |
Language: | English |
Published: |
Cambridge :
Cambridge University Press,
2011.
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Series: | Cambridge monographs on mathematical physics.
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Subjects: | |
Online Access: | CONNECT |
MARC
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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) | ||
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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 |
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