Hamiltonian Mechanics and Symplectic Geometry:
Classical Mechanics and Geometry, vol.1-Introduction; =====================Copyright@2010 by Bci2.===================
CONTENTS:
Classical mechanics
Dynamical system (definition)
Equations of motion
Canonical transformations
Generalized coordinates
William Rowan Hamilton,Sir
Hamilton's principle
Hamiltonian mechanics
Hamiltonian vector field
Hamilton--Jacobi equations
Lie bracket
Euler--Lagrange equations
Lagrangian mechanics
Legendre transformations
Legendre--Fenchel transformations
Poisson bracket
Poisson algebra
Poisson manifold
Vector space
Differential Geometry and Molecular Mechanics
Differential geometry
Symplectic vector space
Symplectic space
Symplectic manifold
Symplectic form
Symplectic group
Symplectic structure
Symplectic matrix
Symplectic representation
Symplectic sum
Symplectic geometry
Symplectomorphisms
Algebraic geometry
Category theory
Molecular Dynamics and Integrators
Dynamical system
Symplectic integrator
Molecular dynamics
Molecular modelling
Relativity Theory
Einstein--“Hilbert action
General relativity
Einstein field equations
Solutions of the Einstein field equations
Spherical coordinate system
Maxwell's equations in curved spacetime
Riemannian manifolds
Pseudo--Riemannian manifolds
Quantum Theory in Feynman's Formulation and Hamiltonian formalism inadequacies
Quantum mechanics
Commutators
Canonical quantization
Moyal bracket
Path integral formulation in Quantum Theory
Dirac bracket
Quantum field theory
Jacobi identity
Lie algebra
Lie groups
Lie theory
Lie groupoids
Lie algebroids
R-algebroid
Algebraic topology
Double groupoids
Higher dimensional algebra
Poisson superalgebra
Quantum Symmetry and TQFT
Symmetry
Chiral symmetry
Loop quantum cosmology
Quantum cohomology
Topological quantum field theory
Standard Model
Quantum anomalies
Supersymmetry --SUSY
Minimal Supersymmetric Standard Model -MSSM
Statistical Physics and Quantum Theory
Exchange symmetry
Statistical physics
Statistical mechanics
Statistical field theory
Ergodic theory
Rights:
Open access, GFDL:
http://en.wikipedia.org/wiki/User:Bci2/Books/HamiltonianMechanicsAndSymplecticGeometry
Copyright@2010 bci1 and Bci2, Edited and originated by Bci2- with several contributors listed before the License Statement by bci1 and Bci2:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version ;published by the Free Software Foundation, with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in ;the section entitled "GNU Free Documentation License". Edited by Bci2, with all contributors listed before the License statement.
