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As equações de Madelung ou as equações da … As equações de Madelung ou as equações da hidrodinâmica quântica são uma formulação alternativa de Erwin Madelung equivalente à equação de Schrödinger, escrita em termos de variáveis hidrodinâmicas, similar às equações de Navier-Stokes da dinâmica dos fluidos. A derivação das equações de Madelung é semelhante à formulação de de Broglie-Bohm, que representa a equação de Schrödinger como uma equação quântica de Hamilton-Jacobi . uma equação quântica de Hamilton-Jacobi .
, The Madelung equations, or the equations o … The Madelung equations, or the equations of quantum hydrodynamics, are Erwin Madelung's equivalent alternative formulation of the Schrödinger equation, written in terms of hydrodynamical variables, similar to the Navier–Stokes equations of fluid dynamics. The derivation of the Madelung equations is similar to the de Broglie–Bohm formulation, which represents the Schrödinger equation as a quantum Hamilton–Jacobi equation.ion as a quantum Hamilton–Jacobi equation.
, Die Madelunggleichungen sind eine von Erwi … Die Madelunggleichungen sind eine von Erwin Madelung (1881–1972) formulierte Alternative der Schrödingergleichung. Ersetzt man dort die komplexe Funktion durch ihren Betrag und ihre Phase gemäß , so erhält man die Madelunggleichungen: 1.
* 2.
* wobei das Potential aus der Schrödingergleichung ist. Die erste dieser beiden Gleichungen hat die Form einer Kontinuitätsgleichung, die zweite ist eine Hamilton-Jacobi-Gleichung (siehe Kanonische Gleichungen).-Gleichung (siehe Kanonische Gleichungen).
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Die Madelunggleichungen sind eine von Erwi … Die Madelunggleichungen sind eine von Erwin Madelung (1881–1972) formulierte Alternative der Schrödingergleichung. Ersetzt man dort die komplexe Funktion durch ihren Betrag und ihre Phase gemäß , so erhält man die Madelunggleichungen: 1.
* 2.
* wobei das Potential aus der Schrödingergleichung ist. Die erste dieser beiden Gleichungen hat die Form einer Kontinuitätsgleichung, die zweite ist eine Hamilton-Jacobi-Gleichung (siehe Kanonische Gleichungen).-Gleichung (siehe Kanonische Gleichungen).
, The Madelung equations, or the equations o … The Madelung equations, or the equations of quantum hydrodynamics, are Erwin Madelung's equivalent alternative formulation of the Schrödinger equation, written in terms of hydrodynamical variables, similar to the Navier–Stokes equations of fluid dynamics. The derivation of the Madelung equations is similar to the de Broglie–Bohm formulation, which represents the Schrödinger equation as a quantum Hamilton–Jacobi equation.ion as a quantum Hamilton–Jacobi equation.
, As equações de Madelung ou as equações da … As equações de Madelung ou as equações da hidrodinâmica quântica são uma formulação alternativa de Erwin Madelung equivalente à equação de Schrödinger, escrita em termos de variáveis hidrodinâmicas, similar às equações de Navier-Stokes da dinâmica dos fluidos. A derivação das equações de Madelung é semelhante à formulação de de Broglie-Bohm, que representa a equação de Schrödinger como uma equação quântica de Hamilton-Jacobi . uma equação quântica de Hamilton-Jacobi .
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| rdfs:label |
Equações de Madelung
, Madelung equations
, Madelunggleichungen
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