This is a contributed topic on equations in mathematical physics.

1 List of Physical/Mathematical Physics Laws and Equations

• Newton’s laws of classical dynamics (laws of motion)
• Law of conservation of energy
• Conservation of angular momentum
• Classical and Quantum hamiltonian Equations
• Einstein’s law of mass-energy conservation (or ‘mass–energy equivalence’)
• Einstein’s field equations
• Euler–Lagrange equations
• Kepler’s laws
• Navier-Stokes equations of fluid dynamics
• Snell’s law in optics
• Newton’s law of gravitation
• Coulomb’s law
• Gauss’s Law of magnetostatics
• Curie law in magnetism
• Ohm’s law
• Faraday’s law
• Ampère’s law
• Kirkhoff electrical circuit equations
• Lorentz force law
• Hook’s law (elasticity equation)
• Lambert-Beer law
• wave equations
• Maxwell’s equations
• Liénard-Wiechert Potentials and electrodynamic equations
• Schrödinger equation
• Heisenberg’s quantum dynamics equation
• Gaussian metric (equation)
• Relativistic energy-momentum equation
• Relativistic center-of-mass theorem
• Relativistic equality of gravitational and inertial mass
• Thomson scattering cross section equation
• Compton scattering equation and
• Klein–Nishina equation for the differential cross section for Compton scattering
• Lorentz transformation
• Einstein’s (GR) field equations
• Klein-Gordon equation
• Planck’s equation for black body radiation
• Dirac equation
• Josephson effect/ tunneling equation
• d’Alembert equation
• Heat transfer equations
• Diffusion equations
• Yukawa’s nuclear force equation
• Goldstone’s theorem and symmetry breaking
• Bloch equations in Nuclear Magnetic resonance (NMR)
• Resonance equations
• Dispersion equations
• de Broglie equation
• Laws of Thermodynamics
• Boltzmann distribution law in statistical mechanics
• ideal gas laws
• Gibbs equation
• Boltzmann equation
• Debye equation
• Onsager’s principle (flux equations)
• Kirkwood proton and dipole fluctuation equations
• doppler effect equation
• Red shift equation
• Thompson equation for the period of electrical oscillation
• Bragg diffraction equation
• heat equation
• heat radiation equation
• Heat conduction equation
• kinetic energy equation
• physical laws as consequences of symmetry
• Chaotic dynamics equations
• Y
• W
• Z

2 References

Available file for download