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Hamiltonian Mechanics and Symplectic Geometry
editClassical Mechanics and Geometry, vol.1, Introduction, Copyright-2010 by Bci2
edit- Classical mechanics
- Dynamical system (definition)
- Equations of motion
- Canonical transformations
- Generalized coordinates
- Phase space
- 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