Mathematical Physics

In 1953 as a research associate at Brookhaven National Laboratory, Mills coauthored with Chen Ning Yang a landmark scientific paper in which they proposed the Yang-Mills theory, a generalization of Maxwell's equations that seeks to describe the behavior of elementary particles and explain the electromagnetic and nuclear forces.

is a cornerstone of the mathematical formulation of quantum mechanics

relates the time derivative of the expectation values of the position and momentum operators

It is used extensively in quantum field theory to reduce arbitrary products of creation

The adiabatic theorem is a concept in quantum mechanics

In quantum mechanics, the Hellmann-Feynman theorem relates the derivative of the total energy with respect to a parameter

Noether's second theorem relates symmetries of an action functional with a system of differential equations

all stationary black hole solutions of the Einstein-Maxwell equations of gravitation and electromagnetism in general relativity

is a kinetic phenomenon of classical mechanics

The Clausius theorem, also known as the Clausius inequality, states that for a thermodynamic system

In fluid mechanics, the Taylor-Proudman theorem

describes the spacetime geometry around a mass that is electrically charged and rotating

In the theory of general relativity, linearized gravity is the application of perturbation theory to the metric tensor

is a metric that describes a homogeneous, isotropic, expanding

is a Hamiltonian formulation of general relativity

is the main mathematical description of spacetime in the absence of gravitation

are constitutive relations for a superconductor

is a function used to handle the effects of velocity-proportional frictional forces in Lagrangian mechanics

In analytical mechanics, the mass matrix is a symmetric matrix

In quantum field theory, self-energy

used for adding angular momentum values in quantum mechanics

appear when studying an idealized paramagnetic material in statistical mechanics

Prigogine's theorem is a theorem of non-equilibrium thermodynamics, originally formulated by Ilya Prigogine.

In engineering, applied mathematics, and physics, the Buckingham π theorem is a key theorem in dimensional analysis.

In quantum information and computation, the Solovay-Kitaev theorem says that if a set of single-qubit quantum gates generates a dense subgroup of SU(2), then that set can be used to approximate any desired quantum gate with a short sequence of gates that can also be found efficiently.

The transport theorem (or transport equation, rate of change transport theorem or basic kinematic equation or Bour's formula

In kinematics, the acceleration of a particle moving along a curve in space is the time derivative of its velocity.

mathematical physics

theory of relativity

analytical mechanics

mathematical physicist

theoretical physicist

theoretical physicist

Poinsot was the inventor of geometrical mechanics

He also did much to systematise the mathematical theory of mechanics

Simon Bernhard Kochen (; born 14 August 1934) is a Canadian mathematician, working in the fields of model theory, number theory and quantum mechanics. == Education and career == Kochen was born in Antwerp, Belgium, and escaped the Nazis with his family, thanks to a courageous Norwegian ship captain.

The Ising model (or Lenz-Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics.

In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice.

The Jarzynski equality (JE) is an equation in statistical mechanics that relates free energy differences between two states and the irreversible work along an ensemble of trajectories joining the same states.

While working on the mathematical physics of an interacting, relativistic, quantum field theory, Rudolf Haag developed an argument against the existence of the interaction picture, a result now commonly known as Haag's theorem.

The Reeh-Schlieder theorem is a result in relativistic local quantum field theory published by Helmut Reeh and Siegfried Schlieder in 1961.

The theorem is usually interpreted to mean that the graviton (j = 2) cannot be a composite particle in a relativistic quantum field theory.

In quantum field theory and statistical field theory, Elitzur's theorem states that in gauge theories, the only operators that can have non-vanishing expectation values are ones that are invariant under local gauge transformations.

In quantum field theory and statistical mechanics, the Hohenberg-Mermin-Wagner theorem or Mermin-Wagner theorem (also known as Mermin-Wagner-Berezinskii theorem or Mermin-Wagner-Coleman theorem) states that continuous symmetries cannot be spontaneously broken at finite temperature in systems with sufficiently short-range interactions in dimensions d ≤ 2.

The Bohr-Van Leeuwen theorem states that when statistical mechanics and classical mechanics are applied consistently, the thermal average of the magnetization is always zero.

In classical statistical mechanics, the H-theorem, introduced by Ludwig Boltzmann in 1872, describes the tendency of the quantity H (defined below) to decrease in a nearly-ideal gas of molecules.

In classical statistical mechanics, the equipartition theorem relates the temperature of a system to its average energies.

The fluctuation-dissipation theorem (FDT) or fluctuation-dissipation relation (FDR) is a powerful tool in statistical physics for predicting the behavior of systems that obey detailed balance.

In statistical mechanics, Boltzmann's entropy formula (also known as the

In the statistical physics of spin glasses and other systems with quenched disorder, the

In theoretical physics, the Coleman-Mandula theorem is a no-go theorem

twentieth century and was used in the development of the third law of thermodynamics.

In thermodynamics, the Onsager reciprocal relations express the

In fluid mechanics, Kelvin's circulation theorem states:In a barotropic

In classical mechanics, Bertrand's theorem states that among central-force

In quantum mechanics, Kramers' theorem or Kramers' degeneracy theorem

Huygens and Jakob Steiner, can be used to determine the moment of inertia or the second moment of area of a rigid body

In classical mechanics, the shell theorem gives gravitational simplifications

The Kutta-Joukowski theorem is a fundamental theorem in aerodynamics that relates the lift per unit span of an airfoil

plane figure theorem) states that for a planar lamina the moment of inertia about an axis perpendicular to the plane of the

In electrodynamics, Poynting's theorem is a statement of conservation

of the past, then, under specific assumptions drawn from quantum mechanics and relativity, so must some elementary particles. That is

In kinematics, Chasles' theorem, or Mozzi-Chasles' theorem

magnitudes of three coplanar, concurrent and non-collinear force vectors, which keeps an object in static equilibrium

Clairaut's theorem characterizes the surface gravity on a viscous rotating ellipsoid in hydrostatic

The Borde-Guth-Vilenkin (BGV) theorem is a theorem in physical cosmology which deduces that any universe that has, on

In physics, the optical theorem is a general law of wave scattering theory, which relates the zero-angle scattering amplitude

In kinematics, König's theorem or König's decomposition is

Anupam Garg, is a mathematical inequality fulfilled by all macrorealistic physical theories. Here, macrorealism (macroscopic realism) is

In physics, the scallop theorem states that a swimmer that performs a reciprocal

In optics, the Ewald-Oseen extinction theorem, sometimes

The Shockley-Ramo theorem is a method for calculating the electric current induced by a charge moving in the vicinity of an electrode. Previously

In general relativity, Buchdahl's theorem, named after Hans Adolf Buchdahl

In solid mechanics, it is common to analyze the properties of beams

In the linear theory of elasticity Clapeyron's theorem states that the potential

In physics and in particular in the theory of magnetism, an antidynamo theorem is one of several results

(but not necessarily the existence) of a solution to Maxwell's equations, if the boundary conditions provided satisfy

elementary particles

In relativistic physics, a velocity-addition formula is an equation that

The Lorentz factor or Lorentz term (also known as the gamma factor)

The classical rocket equation, Tsiolkovsky rocket equation, or ideal rocket

the formula in 1957, is an equation which expresses the linear response of an observable quantity due to a time-dependent

or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when

In quantum mechanics, the Franke-Gorini-Kossakowski-Sudarshan-Lindblad

In general relativity, a black brane is a solution of the Einstein

Eugene Paul Wigner was a Hungarian-American theoretical physicist and mathematician who won a Nobel prize for his contributions to the theory of the atomic nucleus and elementary particles.

Wilhelm Oseen was a Swedish mathematician who worked in fluid dynamics.

Edward Nelson was an American mathematician who won the Steele Prize for applying probability to quantum field theory. He wrote several classic texts on the topic. In the latter part of his career he studied mathematical logic.

Edward Witten is an American mathematician who won a Fields Medal for his work on quantum field theory.

Franz Rellich was an Austrian-German mathematician who made important contributions in mathematical physics, particular in quantum mechanics.

Gustav Herglotz was a Czech-born German mathematician best known for his works on the theory of relativity and seismology.

Kirchhoff was a mathematical physicist best known for his laws on the flow of electric current.

Heinrich Weber was a German mathematician whose main work was in algebra, number theory, analysis and applications of analysis to mathematical physics.

Paul Dirac is famous as the creator of the complete theoretical formulation of quantum mechanics.

Pierre Varignon was a French mathematician who worked on graphical statics and mechanics.

Wilhelm Magnus was a German American mathematician who worked in combinatorial group theory, Lie algebras, mathematical physics, elliptic functions, and the study of tessellations.

Max Born was a Polish-born mathematician who worked in Cambridge and received the Nobel Prize for Physics in 1954 for his work on Quantum Mechanics.

Rudolf Clausius did important work in thermodynamics.

Hendrik Lorentz is best known for his work on electromagnetic radiation and the FitzGerald-Lorentz contraction. He developed the mathematical theory of the electron.