Category
page 1Equations of physics
Newton's laws of motion
classical formulation of Mechanics by Isaac Newton
mass–energy equivalence
physical law relating mass to energy
first law of thermodynamics
statement of conservation of energy as it applies specifically to a thermodynamic system or process
second law of thermodynamics
law of physics stating that systems spontaneously evolve towards states of higher entropy

wave equation
second-order linear differential equation important in physics
probability density function
function whose integral over a region describes the probability of an event occurring in that region
Einstein field equations
field equations in general relativity
equation of state
equation describing the state of matter under a given set of physical conditions
Minkowski spacetime
mathematical space setting which eases explanation of special relativity
equations of motion
differential equation that describes the motion of a physical system
Klein–Gordon equation
relativistic wave equation in quantum mechanics
partition function
function in thermodynamics and statistical physics
Green's function
Green's functions
Newton's law of cooling
physical law
dispersion relation
relation of wavelength/wavenumber as a function of a wave's frequency
statistical ensemble
set of systems under identical condition
Electromagnetic wave equation
partial differential equation used in physics
Fermi's golden rule
formula that describes the transition rate from one energy eigenstate of a quantum system into other energy eigenstates
Onsager reciprocal relations
equality of certain ratios between flows and forces in thermodynamic systems out of equilibrium
convection–diffusion equation
combination of the diffusion and convection (advection) equations
constitutive equation
relation between two physical quantities that is specific to a material or substance
Euler's laws of motion
extend Newton's laws of motion to rigid bodies
master equation
equations governing time evolution of physical systems
Kohn–Sham equations
one-electron Schrödinger equation of a fictitious system
Bethe–Salpeter equation
equation for two-body bound states
sine–Gordon equation
nonlinear hyperbolic partial differential equation in 1 + 1 dimensions
Yang–Baxter equation
consistency equation which was first introduced in the field of statistical mechanics
Faddeev equations
Darwin Lagrangian
classical Lagrangian describing the interaction to order v²/c² between two charged particles in vacuo
Sommerfeld expansion
integral approximation method popular in condensed matter physics
D'Alembert's equation
first order nonlinear ordinary differential equation
Linear response function
relationship of a signal transducer
sigma model
field theory of a point particle confined to move on a fixed manifold
Emden–Chandrasekhar equation
Capstan equation
relates the hold-force to the load-force if a flexible line is wound around a cylinder