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In electromagnetism, the Lorenz gauge condition or Lorenz gauge, for Ludvig Lorenz, is a partial gauge fixing of the electromagnetic vector potential by requiring The name is frequently confused with Hendrik Lorentz, who has given his name to many concepts in this field. The condition is Lorentz invariant. The condition does not completely determine the gauge: one can still make a gauge transformation where is the four-gradient and is a harmonic scalar function (that is, a scalar function satisfying the equation of a massless scalar field). The Lorenz condition is used to eliminate the redundant spin-0 component in the (1/2, 1/2) representation theory of the Lorentz group. It is equally used for massive spin-1 fields where the concept of gauge transformations does not apply at all.

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  • Lorenzova kalibrační podmínka (cs)
  • Lorenz-Eichung (de)
  • Gaŭĝo de Lorenz (eo)
  • Jauge de Lorenz (fr)
  • Gauge di Lorenz (it)
  • Lorenz gauge condition (en)
  • 로렌츠 게이지 조건 (ko)
  • Lorenz-ijk (nl)
  • Condição gauge de Lorenz (pt)
  • 洛伦茨规范 (zh)
  • Калібрування Ландау (uk)
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  • Die Lorenz-Eichung, nach Ludvig Lorenz, ist eine spezielle Eichung der elektromagnetischen Potentiale. Sie hat nichts mit Hendrik Antoon Lorentz zu tun, nach dem die Lorentz-Transformation benannt ist. Im statischen Fall ist die Lorenz-Eichung identisch mit der Coulomb-Eichung. (de)
  • Je elektromagnetismo kaj aliaj gaŭĝaj teorioj, la gaŭĝo de Lorenz estas parta gaŭĝo-fikso, kiu estas nevarianta laŭ transformo de Lorentz. (eo)
  • In electromagnetism, the Lorenz gauge condition or Lorenz gauge, for Ludvig Lorenz, is a partial gauge fixing of the electromagnetic vector potential by requiring The name is frequently confused with Hendrik Lorentz, who has given his name to many concepts in this field. The condition is Lorentz invariant. The condition does not completely determine the gauge: one can still make a gauge transformation where is the four-gradient and is a harmonic scalar function (that is, a scalar function satisfying the equation of a massless scalar field). The Lorenz condition is used to eliminate the redundant spin-0 component in the (1/2, 1/2) representation theory of the Lorentz group. It is equally used for massive spin-1 fields where the concept of gauge transformations does not apply at all. (en)
  • La jauge de Lorenz est une condition que l'on peut introduire en électromagnétisme ; cette condition tient son nom du physicien danois Ludvig Lorenz (elle est souvent attribuée au physicien Hendrik Lorentz, probablement en raison de son invariance sous les transformations de Lorentz). L'introduction de la condition impose un lien entre le potentiel scalaire et le potentiel vecteur associés aux champs électrique et magnétique ; les composantes du potentiel vecteur et le potentiel scalaire forment alors le quadrivecteur potentiel. Cette jauge particulière s'est avérée pratique, permettant une description totalement relativiste de l'électrodynamique. (fr)
  • 전자기학에서 로렌츠 게이지 조건(영어: Lorenz gauge condition)은 전자기 퍼텐셜의 4차원 발산이 0이어야 한다는 조건이다. 전자기 퍼텐셜을 (부분적으로) 게이지 고정하는 방법이며, (다른 많은 게이지 조건과 달리) 로런츠 불변이다. (ko)
  • Condição gauge de Lorenz define que a derivada das componentes contravariantes do potencial eletromagnético é igual a zero.É usada para simplificar as equações de Maxwell. (pt)
  • Калібрування Ландау — вибір векторного потенціалу магнітного поля у вигляді, де — магнітне поле, а — орт по напряму осі y. Використовується для зручності при розв'язку рівняння Шредінгера в магнітному полі, оскільки дозволяє розділити змінні в декартовій системі координат та отримати так звані рівні Ландау. (uk)
  • 洛伦茨规范(英語:Lorenz Gauge),或称作洛伦茨规范条件,是丹麦物理学家路德维希·洛伦茨(Ludvig Lorenz)提出的规范条件。其名称常被误写做Lorentz Gauge,其中Lorentz中文也译作洛仑兹,是指荷兰物理学家亨德里克·洛伦兹(Hendrik Lorentz)。 发生混淆的原因除了名字相近之外,还由于这种规范具有洛伦兹不变性。 (zh)
  • Lorenzova kalibrační podmínka je jednou z možných kalibrací potenciálů elektromagnetického pole. Tato kalibrace se nejvíce používá v teorii relativity. Rovnice pro jsou tyto: Protože pravá strana rovnice musí splňovat rovnici kontinuity pro čtyřproud (čárka značí parciální derivaci podle dané souřadnice): Musí stejnou podmínku splňovat i levá strana rovnice: Což je právě Lorenzova kalibrační podmínka. V případě zakřiveného prostoročasu v obecné teorii relativity je potřeba nahradit obyčejnou parciální derivaci derivací kovariantní. Tvar kalibrační podmínky v nerelativistické notaci je: (cs)
  • Nell'ambito della teoria di gauge, il gauge di Lorenz è la scelta dei potenziali del campo elettromagnetico tali da soddisfare la condizione (detta condizione di Lorenz): dove è il potenziale magnetico e il potenziale elettrico. Tale scelta appare particolarmente conveniente in elettrodinamica nella soluzione delle equazioni di Maxwell, ed in particolare nel calcolo dei potenziali ritardati e nello studio della propagazione delle onde elettromagnetiche. Tale condizione nella scelta della gauge si estende anche ad altri campi vettoriali, come il campo di Yang-Mills. (it)
  • De Lorenz-ijk (of Lorenz-ijking) definieert een relatie tussen de elektromagnetische potentialen die invariant is onder Lorentztransformaties. De magnetische potentiaal of vectorpotentiaal A, een vector, en de elektrische potentiaal φ, een scalair, beide functies op de ruimte-tijd, waaruit de elektromagnetische velden door differentiatie verkregen kunnen worden, worden in deze Lorenz-ijk aan de volgende beperking onderworpen: (nl)
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