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Madelung equations

Known as: Madelung transformation 
The Madelung equations are Erwin Madelung's equivalent alternative formulation of the Schrödinger equation.
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Highly Cited
2016
Highly Cited
2016
Abstract Within the framework of the Madelung fluid description, we will derive bright and dark (including gray- and black… Expand
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2015
2015
Using a generalization of the Madelung transformation, we derive the hydrodynamic representation of the Klein-Gordon-Einstein… Expand
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2009
2009
Using an idea going back to Madelung we construct global in time solutions to the transport equation corresponding to the… Expand
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2008
2008
Abstract Recently using a Madelung fluid description a connection between envelope-like solutions of NLS-type equations and… Expand
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2008
2008
  • A. D. Okulov
  • Conference on Lasers and Electro-Optics and…
  • 2008
  • Corpus ID: 30078862
We discuss a possibility of a pinning of quantized matter wave vortices by optical vortices in specially arranged optical dipole… Expand
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2004
2004
We consider a generalization of Madelung fluid equations, which was derived in the 1980s by means of a pathwise stochastic… Expand
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2002
2002
Envelope solitons of the Nonlinear Schrodinger equation (NLS) under quantum potential's influence are studied. Corresponding… Expand
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1996
1996
Starting from the Pauli current we obtain the decomposition of the nonrelativistic local velocity in two parts: one parallel and… Expand
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1955
1955
SummaryThe general motions of the continuous medium (Madelung fluid), whose irrotational motions are described by the Schrödinger… Expand
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