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Mathematical Physics

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List of mathematical symbols
Classical mechanics
List of mathematical topics in classical mechanics
Newtonian Physics
Newton's laws of motion
Inertia
Point particle
Kinematics
Rigid body
Momentum
Kinetic energy
Parallelogram of force
Circular motion
Rotational speed
Angular frequency
Angular momentum
Torque
Angular acceleration
Moment of inertia
Parallel axis theorem
Perpendicular axis theorem
Stretch rule
Centripetal force
Centrifugal force (rotating reference frame)
Reactive centrifugal force
Laplace–Runge–Lenz vector
Euler's Disk
Elastic energy
Mechanical equilibrium
D'Alembert's principle
Degrees of freedom (physics and chemistry)
Frame of reference
Inertial frame of reference
Galilean transformation
Principle of relativity
Conservation Laws
Conservation law
Conservation of energy
Potential energy
Conservative force
Conservation of mass
Laws of Universal Gravitation
Newton's law of universal gravitation
Projectile motion
Kepler's laws of planetary motion
Escape velocity
Potential well
Weightlessness
Lagrangian point
N-body problem
Kolmogorov–Arnold–Moser theorem
Virial theorem
Gravitational binding energy
Speed of gravity
Newtonian limit
Hill sphere
Roche lobe
Roche limit
Hamiltonian Mechanics
Hamiltonian mechanics
Phase space
Symplectic manifold
Liouville's theorem (Hamiltonian)
Poisson bracket
Poisson algebra
Poisson manifold
Gerstenhaber algebra
Hamiltonian constraint
Moment map
Contact geometry
Analysis of flows
Nambu mechanics
Lagrangian Mechanics
Lagrangian mechanics
Action (physics)
Lagrangian
Euler–Lagrange equation
Noether's theorem
List of mathematical topics in quantum theory
Mathematical Formulations of Quantum Mechanics
Mathematical formulation of quantum mechanics
Bra–ket notation
Canonical commutation relation
Complete set of commuting observables
Heisenberg picture
Hilbert space
Interaction picture
Measurement in quantum mechanics
Quantum field theory
Quantum logic
Quantum operation
Schrödinger picture
Semiclassical physics
Statistical ensemble (mathematical physics)
Wave function
Wave–particle duality
Wightman axioms
WKB approximation
Schrodinger's Equation
Schrödinger equation
Quantum mechanics
Matrix mechanics
Hamiltonian (quantum mechanics)
Particle in a box
Particle in a ring
Particle in a spherically symmetric potential