TY  - BOOK
AU  - Prokhorov,Lev V.
AU  - Shabanov,Sergei V.
TI  - Hamiltonian Mechanics of Gauge Systems
T2  - Cambridge Monographs on Mathematical Physics
SN  - 9781139187992
AV  - QC793 
U1  - 530.1435 
PY  - 2011///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Gauge invariance
KW  - Hamiltonian systems
KW  - Invariance de jauge
KW  - Systèmes hamiltoniens
KW  - SCIENCE
KW  - Waves & Wave Mechanics
KW  - bisacsh
KW  - fast
KW  - Electronic book
KW  - Electronic books
KW  - lcgft
N1  - 3.3.1 The extended group of gauge transformations; Includes bibliographical references (pages 452-462) and index; 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; 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; 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; 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; 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
N2  - An introduction to Hamiltonian mechanics of systems with gauge symmetry for graduate students and researchers in theoretical and mathematical physics
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=409033
ER  -