About: Minimal coupling

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In analytical mechanics and quantum field theory, minimal coupling refers to a coupling between fields which involves only the charge distribution and not higher multipole moments of the charge distribution. This minimal coupling is in contrast to, for example, Pauli coupling, which includes the magnetic moment of an electron directly in the Lagrangian.

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rdfs:label	Minimale Kopplung (de) Principio de acoplamiento mínimo (es) Minimal coupling (en) Acoplamento mínimo (pt)
rdfs:comment	Minimale Kopplung, minimale Substitution oder auch Prinzip der minimalen elektromagnetischen Wechselwirkung beschreibt ein Prinzip der Quantenmechanik zur Einführung der elektromagnetischen Wechselwirkung in die Gleichungen freier Teilchen. Das Prinzip legt die durchzuführende Ersetzung im Hamiltonoperator eines freien Teilchens fest, um seine Wechselwirkung mit einem elektromagnetischen Feld zu erreichen. Die Berechtigung dieses Prinzips rührt daraus, dass eine Ankopplung freier Teilchen an Wechselwirkungsfelder nach diesem Prinzip zu Eichinvarianz der betreffenden Gleichungen führt. (de) El Principio de acoplamiento mínimo es una prescripción que indica cómo hacer que una ley o fórmula física sea invariante frente a alguna transformación, sea esta una transformación general de coordenadas o una transformación de gauge. (es) In analytical mechanics and quantum field theory, minimal coupling refers to a coupling between fields which involves only the charge distribution and not higher multipole moments of the charge distribution. This minimal coupling is in contrast to, for example, Pauli coupling, which includes the magnetic moment of an electron directly in the Lagrangian. (en) Na mecânica analítica e a teoria do campo quântico, o acoplamento mínimo refere-se a um acoplamento entre os campos que envolve apenas a carga de distribuição e não mais multipolar momentos da distribuição de carga. Esse acoplamento mínimo está em contraste com, por exemplo, acoplamento de Pauli, o que inclui o momento magnético de um elétron diretamente no Lagrangiano. (pt)
dcterms:subject	Gauge theories Hamiltonian mechanics Lagrangian mechanics
Wikipage page ID	32708967 (xsd:integer)
Wikipage revision ID	1119027420 (xsd:integer)
Link from a Wikipage to another Wikipage	Cartesian coordinates Potential energy Quantum field theory Quantum mechanics Scalar curvature Electric charge Electric potential Metric tensor (general relativity) Total energy Vector calculus identities Pauli equation Gauge theories Hamiltonian mechanics Lagrangian mechanics Analytical mechanics Measure (mathematics) Gauge covariant derivative Electrodynamics Electron Gauge fixing Lorentz force Magnetic moment Magnetic vector potential Gauge invariance Topological group Wave function Euler–Lagrange equation Legendre transformation Hamiltonian mechanics Invariant mass Field theory (physics) Kinetic energy Lagrangian mechanics Relativistic Lagrangian mechanics Planck units Spin (physics) Inflation (cosmology) Lorentz covariance Kinetic momentum Canonical momenta SI Units Inflaton field Multipole moments U(1)
sameAs	Minimal coupling Minimal coupling Minimal coupling Minimal coupling Minimal coupling Minimal coupling Minimal coupling
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has abstract	Minimale Kopplung, minimale Substitution oder auch Prinzip der minimalen elektromagnetischen Wechselwirkung beschreibt ein Prinzip der Quantenmechanik zur Einführung der elektromagnetischen Wechselwirkung in die Gleichungen freier Teilchen. Das Prinzip legt die durchzuführende Ersetzung im Hamiltonoperator eines freien Teilchens fest, um seine Wechselwirkung mit einem elektromagnetischen Feld zu erreichen. Die Berechtigung dieses Prinzips rührt daraus, dass eine Ankopplung freier Teilchen an Wechselwirkungsfelder nach diesem Prinzip zu Eichinvarianz der betreffenden Gleichungen führt. (de) El Principio de acoplamiento mínimo es una prescripción que indica cómo hacer que una ley o fórmula física sea invariante frente a alguna transformación, sea esta una transformación general de coordenadas o una transformación de gauge. (es) In analytical mechanics and quantum field theory, minimal coupling refers to a coupling between fields which involves only the charge distribution and not higher multipole moments of the charge distribution. This minimal coupling is in contrast to, for example, Pauli coupling, which includes the magnetic moment of an electron directly in the Lagrangian. (en) Na mecânica analítica e a teoria do campo quântico, o acoplamento mínimo refere-se a um acoplamento entre os campos que envolve apenas a carga de distribuição e não mais multipolar momentos da distribuição de carga. Esse acoplamento mínimo está em contraste com, por exemplo, acoplamento de Pauli, o que inclui o momento magnético de um elétron diretamente no Lagrangiano. (pt)
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is Link from a Wikipage to another Wikipage of	Bargmann–Wigner equations Bloch's theorem Algebra of physical space Relativistic quantum mechanics Relativistic wave equations Pauli equation Gauge covariant derivative Gauge theory Gauge theory gravity Electron magnetic moment Magnetic flux quantum Magnetic vector potential Momentum operator No-hair theorem Alternatives to general relativity

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