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</table>imported>WikiHaroldhttps://scholarlywiki.org/index.php?title=Physics:Quantum_hydrodynamics&diff=361&oldid=previmported>WikiHarold: simplify2025-11-19T19:33:59Z<p>simplify</p>
<p><b>New page</b></p><div>{{Short description|Topic in condensed matter physics}}<br />
{{Distinguish|Quantum hadrodynamics}}<br />
In [[Physics:Condensed matter physics|condensed matter physics]], '''quantum hydrodynamics''' ('''QHD''')<ref name="10.1007/978-3-319-05437-7--pp-103-152"> {{cite book |chapter= Quantum Hydrodynamics |pages= 103–152 |author=Shabbir A. Khan |author2=Michael Bonitz |title= Complex Plasmas |editor=Michael Bonitz |editor2=Jose Lopez |editor3=Kurt Becker |editor4=Hauke Thomsen |series= Springer Series on Atomic, Optical, and Plasma Physics |volume= 82 |publisher= Springer |doi= 10.1007/978-3-319-05437-7 |isbn= 978-3-319-05436-0 |issn= 1615-5653 |year= 2014 |bibcode= 2014cpsc.book.....B }} </ref> is most generally the study of hydrodynamic-like systems which demonstrate [[Physics:Quantum mechanics|quantum mechanical]] behavior. They arise in [[Physics:Semiclassical physics|semiclassical mechanics]] in the study of metal and semiconductor devices, in which case being derived from the [[Boltzmann equation|Boltzmann transport equation]] combined with [[Wigner quasiprobability distribution]]. In [[Chemistry:Quantum chemistry|quantum chemistry]] they arise as solutions to [[Chemistry:Chemical kinetics|chemical kinetic]] systems, in which case they are derived from the [[Physics:Schrödinger equation|Schrödinger equation]] by way of [[Physics:Madelung equations|Madelung equations]].<br />
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An important system of study in quantum hydrodynamics is that of [[Physics:Superfluidity|superfluidity]]. Some other topics of interest in quantum hydrodynamics are [[Physics:Quantum turbulence|quantum turbulence]], quantized vortices, [[Physics:Second sound|second]] and third sound, and [[Physics:Quantum solvent|quantum solvent]]s. The quantum hydrodynamic equation is an equation in Bohmian mechanics, which, it turns out, has a mathematical relationship to classical [[Physics:Fluid dynamics|fluid dynamics]] (see [[Physics:Madelung equations|Madelung equations]]). <br />
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Some common experimental applications of these studies are in [[Chemistry:Liquid helium|liquid helium]] ([[Physics:Helium-3|<sup>3</sup>He]] and [[Physics:Helium-4|<sup>4</sup>He]]), and of the interior of [[Astronomy:Neutron star|neutron star]]s and the [[Physics:Quark–gluon plasma|quark–gluon plasma]]. Many famous scientists have worked in quantum hydrodynamics, including [[Biography:Richard Feynman|Richard Feynman]], [[Biography:Lev Landau|Lev Landau]], and [[Biography:Pyotr Kapitsa|Pyotr Kapitsa]].<br />
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==See also==<br />
* [[Physics:Quantum turbulence|Quantum turbulence]]<br />
* [[Physics:Hydrodynamic quantum analogs|Hydrodynamic quantum analogs]]<br />
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==References==<br />
{{reflist}}<br />
* {{cite book |author= Robert E. Wyatt |title= Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics |publisher= Springer |year= 2005 |isbn= 978-0-387-22964-5 }}<br />
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{{Quantum field theories}}<br />
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[[Category:Quantum mechanics]]<br />
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{{Sourceattribution|Quantum hydrodynamics}}</div>imported>WikiHarold