User:NutanNepal/Books/Mathematical Physics

Part One and Two

 * List of mathematical symbols

Part One

 * 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

Part Two

 * 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 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
 * Quantum harmonic oscillator
 * Hydrogen atom
 * Particle in a one-dimensional lattice


 * Symmetry
 * Symmetry
 * Identical particles
 * Angular momentum operator
 * Rotational invariance
 * Rotational symmetry
 * Rotation (mathematics)
 * Translational symmetry
 * Lorentz covariance
 * Parity (physics)
 * Spin (physics)
 * Isospin
 * Pauli matrices
 * Scale invariance
 * Spontaneous symmetry breaking
 * Supersymmetry breaking


 * Quantum States
 * Quantum state
 * Quantum number
 * Pauli exclusion principle
 * Quantum indeterminacy
 * Uncertainty principle
 * Wave function collapse
 * Zero-point energy
 * Bound state
 * Coherent states
 * Squeezed coherent state
 * Density matrix
 * Fock state
 * Fock space
 * Vacuum state
 * Quasinormal mode
 * No-cloning theorem
 * Quantum entanglement


 * Dirac Equation
 * Dirac equation
 * Spinor
 * Spin group
 * Spinor bundle
 * Dirac sea
 * Spin foam
 * Poincaré group
 * Gamma matrices
 * Dirac adjoint
 * Wigner's classification
 * Anyon


 * Interpretations of Quantum Mechanics
 * Copenhagen interpretation
 * Principle of locality
 * Bell's theorem
 * Loopholes in Bell test experiments
 * CHSH inequality
 * Wigner–d'Espagnat inequality
 * Hidden variable theory
 * Path integral formulation
 * Schwinger's quantum action principle
 * De Broglie–Bohm theory
 * Many-worlds interpretation
 * Tsirelson's bound


 * Quantum Field Theory
 * Quantum field theory
 * Feynman diagram
 * Interpretations of quantum mechanics
 * One-loop Feynman diagram
 * Propagator
 * Creation and annihilation operators
 * S-matrix
 * Standard Model
 * Local quantum field theory
 * Action at a distance
 * Effective field theory
 * Correlation function (quantum field theory)
 * Renormalization
 * Cutoff (physics)
 * Infrared divergence
 * Infrared fixed point
 * Ultraviolet divergence
 * Fermi's interaction
 * Path-ordering
 * Landau pole
 * Higgs mechanism
 * Wilson loop
 * Tadpole (physics)
 * Lattice gauge theory
 * BRST quantization
 * Anomaly (physics)
 * Chiral anomaly
 * Braid statistics
 * Plekton


 * Computation
 * Computation
 * Quantum computer
 * Qubit
 * Quantum dot
 * Kane quantum computer
 * Quantum cryptography
 * Quantum decoherence
 * Quantum circuit
 * Quantum Turing machine
 * Timeline of quantum computing


 * Supersymmetry
 * Lie superalgebra
 * Supergroup (physics)
 * Supercharge
 * Supermultiplet
 * Supergravity


 * Quantum Gravity
 * Quantum gravity
 * Theory of everything
 * Loop quantum gravity
 * Spin network
 * Black hole thermodynamics


 * Non-commutative Geometry
 * Noncommutative geometry
 * Quantum group
 * Hopf algebra
 * Noncommutative quantum field theory