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Fermi's golden rule, the Glossary

In quantum physics, Fermi's golden rule is a formula that describes the transition rate (the probability of a transition per unit time) from one energy eigenstate of a quantum system to a group of energy eigenstates in a continuum, as a result of a weak perturbation.^[1]

27 relations: Angular frequency, Bloch's theorem, Boltzmann equation, Bra–ket notation, Brillouin zone, Density of states, Dirac delta function, Enrico Fermi, Hamiltonian (quantum mechanics), Interaction picture, Markov property, Matrix element (physics), Particle decay, Paul Dirac, Perturbation theory (quantum mechanics), Photoluminescence, Photon, Potential well, Proceedings of the Royal Society, Quantum decoherence, Quantum mechanics, Quantum state, Scanning tunneling microscope, Schrödinger equation, Square (algebra), Transition dipole moment, Wolfgang Pauli.
Perturbation theory

Angular frequency

In physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the angle rate (the angle per unit time) or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function (for example, in oscillations and waves).

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Bloch's theorem

In condensed matter physics, Bloch's theorem states that solutions to the Schrödinger equation in a periodic potential can be expressed as plane waves modulated by periodic functions.

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Boltzmann equation

The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium; it was devised by Ludwig Boltzmann in 1872.

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Bra–ket notation

Bra–ket notation, also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual space both in the finite-dimensional and infinite-dimensional case.

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Brillouin zone

In mathematics and solid state physics, the first Brillouin zone (named after Léon Brillouin) is a uniquely defined primitive cell in reciprocal space.

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Density of states

In condensed matter physics, the density of states (DOS) of a system describes the number of allowed modes or states per unit energy range.

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Dirac delta function

In mathematical analysis, the Dirac delta function (or distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one.

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Enrico Fermi

Enrico Fermi (29 September 1901 – 28 November 1954) was an Italian and naturalized American physicist, renowned for being the creator of the world's first nuclear reactor, the Chicago Pile-1, and a member of the Manhattan Project.

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Hamiltonian (quantum mechanics)

In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy.

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Interaction picture

In quantum mechanics, the interaction picture (also known as the interaction representation or Dirac picture after Paul Dirac, who introduced it) is an intermediate representation between the Schrödinger picture and the Heisenberg picture.

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Markov property

In probability theory and statistics, the term Markov property refers to the memoryless property of a stochastic process, which means that its future evolution is independent of its history.

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Matrix element (physics)

In physics, particularly in quantum perturbation theory, the matrix element refers to the linear operator of a modified Hamiltonian using Dirac notation. Fermi's golden rule and matrix element (physics) are perturbation theory.

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Particle decay

In particle physics, particle decay is the spontaneous process of one unstable subatomic particle transforming into multiple other particles.

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Paul Dirac

Paul Adrien Maurice Dirac (8 August 1902 – 20 October 1984) was an English mathematical and theoretical physicist who is considered to be one of the founders of quantum mechanics.

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Perturbation theory (quantum mechanics)

In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. Fermi's golden rule and perturbation theory (quantum mechanics) are mathematical physics and perturbation theory.

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Photoluminescence

Photoluminescence (abbreviated as PL) is light emission from any form of matter after the absorption of photons (electromagnetic radiation).

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Photon

A photon is an elementary particle that is a quantum of the electromagnetic field, including electromagnetic radiation such as light and radio waves, and the force carrier for the electromagnetic force.

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Potential well

A potential well is the region surrounding a local minimum of potential energy.

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Proceedings of the Royal Society

Proceedings of the Royal Society is the main research journal of the Royal Society.

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Quantum decoherence

Quantum decoherence is the loss of quantum coherence.

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Quantum mechanics

Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms.

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Quantum state

In quantum physics, a quantum state is a mathematical entity that embodies the knowledge of a quantum system.

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Scanning tunneling microscope

A scanning tunneling microscope (STM) is a type of scanning probe microscope used for imaging surfaces at the atomic level.

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Schrödinger equation

The Schrödinger equation is a partial differential equation that governs the wave function of a quantum-mechanical system. Fermi's golden rule and Schrödinger equation are mathematical physics.

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Square (algebra)

In mathematics, a square is the result of multiplying a number by itself.

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Transition dipole moment

The transition dipole moment or transition moment, usually denoted \mathbf_ for a transition between an initial state, m, and a final state, n, is the electric dipole moment associated with the transition between the two states.

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Wolfgang Pauli

Wolfgang Ernst Pauli (25 April 1900 – 15 December 1958) was an Austrian theoretical physicist and one of the pioneers of quantum physics.

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References

[1] https://en.wikipedia.org/wiki/Fermi's_golden_rule

Also known as Fermi golden rule.