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Gauge theory and Maxwell's equations

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Gauge theory and Maxwell's equations

Gauge theory vs. Maxwell's equations

In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under certain Lie groups of local transformations. Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits.

Similarities between Gauge theory and Maxwell's equations

Gauge theory and Maxwell's equations have 37 things in common (in Unionpedia): A Dynamical Theory of the Electromagnetic Field, Aharonov–Bohm effect, Atomic nucleus, Boundary (topology), Classical electromagnetism, Classical field theory, Covariant derivative, Differential form, Electric charge, Electric potential, Electromagnetic four-potential, Electromagnetic tensor, Electromagnetism, Electron, Euclidean vector, Exterior derivative, Galilean transformation, Gauge theory, General relativity, Gravity, Hodge star operator, Inertial frame of reference, James Clerk Maxwell, Lorenz gauge condition, Magnetic potential, Nonlinear optics, Particle physics, Phase (waves), Photon, Quantum electrodynamics, ..., Quantum field theory, Quantum mechanics, Scalar (physics), Spacetime, Vector calculus, Vector field, Vector potential. Expand index (7 more) »

A Dynamical Theory of the Electromagnetic Field

"A Dynamical Theory of the Electromagnetic Field" is a paper by James Clerk Maxwell on electromagnetism, published in 1865.

A Dynamical Theory of the Electromagnetic Field and Gauge theory · A Dynamical Theory of the Electromagnetic Field and Maxwell's equations · See more »

Aharonov–Bohm effect

The Aharonov–Bohm effect, sometimes called the Ehrenberg–Siday–Aharonov–Bohm effect, is a quantum mechanical phenomenon in which an electrically charged particle is affected by an electromagnetic potential (V, A), despite being confined to a region in which both the magnetic field B and electric field E are zero.

Aharonov–Bohm effect and Gauge theory · Aharonov–Bohm effect and Maxwell's equations · See more »

Atomic nucleus

The atomic nucleus is the small, dense region consisting of protons and neutrons at the center of an atom, discovered in 1911 by Ernest Rutherford based on the 1909 Geiger–Marsden gold foil experiment.

Atomic nucleus and Gauge theory · Atomic nucleus and Maxwell's equations · See more »

Boundary (topology)

In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points which can be approached both from S and from the outside of S. More precisely, it is the set of points in the closure of S not belonging to the interior of S. An element of the boundary of S is called a boundary point of S. The term boundary operation refers to finding or taking the boundary of a set.

Boundary (topology) and Gauge theory · Boundary (topology) and Maxwell's equations · See more »

Classical electromagnetism

Classical electromagnetism or classical electrodynamics is a branch of theoretical physics that studies the interactions between electric charges and currents using an extension of the classical Newtonian model.

Classical electromagnetism and Gauge theory · Classical electromagnetism and Maxwell's equations · See more »

Classical field theory

A classical field theory is a physical theory that predicts how one or more physical fields interact with matter through field equations.

Classical field theory and Gauge theory · Classical field theory and Maxwell's equations · See more »

Covariant derivative

In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold.

Covariant derivative and Gauge theory · Covariant derivative and Maxwell's equations · See more »

Differential form

In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.

Differential form and Gauge theory · Differential form and Maxwell's equations · See more »

Electric charge

Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.

Electric charge and Gauge theory · Electric charge and Maxwell's equations · See more »

Electric potential

An electric potential (also called the electric field potential, potential drop or the electrostatic potential) is the amount of work needed to move a unit positive charge from a reference point to a specific point inside the field without producing any acceleration.

Electric potential and Gauge theory · Electric potential and Maxwell's equations · See more »

Electromagnetic four-potential

An electromagnetic four-potential is a relativistic vector function from which the electromagnetic field can be derived.

Electromagnetic four-potential and Gauge theory · Electromagnetic four-potential and Maxwell's equations · See more »

Electromagnetic tensor

In electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime.

Electromagnetic tensor and Gauge theory · Electromagnetic tensor and Maxwell's equations · See more »

Electromagnetism

Electromagnetism is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles.

Electromagnetism and Gauge theory · Electromagnetism and Maxwell's equations · See more »

Electron

The electron is a subatomic particle, symbol or, whose electric charge is negative one elementary charge.

Electron and Gauge theory · Electron and Maxwell's equations · See more »

Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.

Euclidean vector and Gauge theory · Euclidean vector and Maxwell's equations · See more »

Exterior derivative

On a differentiable manifold, the exterior derivative extends the concept of the differential of a function to differential forms of higher degree.

Exterior derivative and Gauge theory · Exterior derivative and Maxwell's equations · See more »

Galilean transformation

In physics, a Galilean transformation is used to transform between the coordinates of two reference frames which differ only by constant relative motion within the constructs of Newtonian physics.

Galilean transformation and Gauge theory · Galilean transformation and Maxwell's equations · See more »

Gauge theory

In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under certain Lie groups of local transformations.

Gauge theory and Gauge theory · Gauge theory and Maxwell's equations · See more »

General relativity

General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.

Gauge theory and General relativity · General relativity and Maxwell's equations · See more »

Gravity

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.

Gauge theory and Gravity · Gravity and Maxwell's equations · See more »

Hodge star operator

In mathematics, the Hodge isomorphism or Hodge star operator is an important linear map introduced in general by W. V. D. Hodge.

Gauge theory and Hodge star operator · Hodge star operator and Maxwell's equations · See more »

Inertial frame of reference

An inertial frame of reference in classical physics and special relativity is a frame of reference in which a body with zero net force acting upon it is not accelerating; that is, such a body is at rest or it is moving at a constant speed in a straight line.

Gauge theory and Inertial frame of reference · Inertial frame of reference and Maxwell's equations · See more »

James Clerk Maxwell

James Clerk Maxwell (13 June 1831 – 5 November 1879) was a Scottish scientist in the field of mathematical physics.

Gauge theory and James Clerk Maxwell · James Clerk Maxwell and Maxwell's equations · See more »

Lorenz gauge condition

In electromagnetism, the Lorenz gauge condition or Lorenz gauge is a partial gauge fixing of the electromagnetic vector potential.

Gauge theory and Lorenz gauge condition · Lorenz gauge condition and Maxwell's equations · See more »

Magnetic potential

The term magnetic potential can be used for either of two quantities in classical electromagnetism: the magnetic vector potential, or simply vector potential, A; and the magnetic scalar potential ψ. Both quantities can be used in certain circumstances to calculate the magnetic field B. The more frequently used magnetic vector potential is defined so that its curl is equal to the magnetic field: curl A.

Gauge theory and Magnetic potential · Magnetic potential and Maxwell's equations · See more »

Nonlinear optics

Nonlinear optics (NLO) is the branch of optics that describes the behavior of light in nonlinear media, that is, media in which the dielectric polarization P responds nonlinearly to the electric field E of the light.

Gauge theory and Nonlinear optics · Maxwell's equations and Nonlinear optics · See more »

Particle physics

Particle physics (also high energy physics) is the branch of physics that studies the nature of the particles that constitute matter and radiation.

Gauge theory and Particle physics · Maxwell's equations and Particle physics · See more »

Phase (waves)

Phase is the position of a point in time (an instant) on a waveform cycle.

Gauge theory and Phase (waves) · Maxwell's equations and Phase (waves) · See more »

Photon

The photon is a type of elementary particle, the quantum of the electromagnetic field including electromagnetic radiation such as light, and the force carrier for the electromagnetic force (even when static via virtual particles).

Gauge theory and Photon · Maxwell's equations and Photon · See more »

Quantum electrodynamics

In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics.

Gauge theory and Quantum electrodynamics · Maxwell's equations and Quantum electrodynamics · See more »

Quantum field theory

In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.

Gauge theory and Quantum field theory · Maxwell's equations and Quantum field theory · See more »

Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

Gauge theory and Quantum mechanics · Maxwell's equations and Quantum mechanics · See more »

Scalar (physics)

A scalar or scalar quantity in physics is a physical quantity that can be described by a single element of a number field such as a real number, often accompanied by units of measurement.

Gauge theory and Scalar (physics) · Maxwell's equations and Scalar (physics) · See more »

Spacetime

In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.

Gauge theory and Spacetime · Maxwell's equations and Spacetime · See more »

Vector calculus

Vector calculus, or vector analysis, is a branch of mathematics concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space \mathbb^3.

Gauge theory and Vector calculus · Maxwell's equations and Vector calculus · See more »

Vector field

In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.

Gauge theory and Vector field · Maxwell's equations and Vector field · See more »

Vector potential

In vector calculus, a vector potential is a vector field whose curl is a given vector field.

Gauge theory and Vector potential · Maxwell's equations and Vector potential · See more »

The list above answers the following questions

Gauge theory and Maxwell's equations Comparison

Gauge theory has 220 relations, while Maxwell's equations has 200. As they have in common 37, the Jaccard index is 8.81% = 37 / (220 + 200).

References

This article shows the relationship between Gauge theory and Maxwell's equations. To access each article from which the information was extracted, please visit:

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