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{{Short description|Topic in condensed matter physics}}
{{Short description|Topic in condensed matter physics}}
{{Distinguish|Quantum hadrodynamics}}
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]].


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]]).
{{Quantum book backlink|Quantum dynamics and evolution}}


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]].
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==See also==
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* [[Physics:Quantum turbulence|Quantum turbulence]]
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* [[Physics:Hydrodynamic quantum analogs|Hydrodynamic quantum analogs]]
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In 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 semiclassical mechanics in the study of metal and semiconductor devices, in which case being derived from the Boltzmann transport equation combined with Wigner quasiprobability distribution. In quantum chemistry they arise as solutions to chemical kinetic systems, in which case they are derived from the Schrödinger equation by way of Madelung equations.
 
An important system of study in quantum hydrodynamics is that of superfluidity. Some other topics of interest in quantum hydrodynamics are [[Physics:Quantum turbulence|quantum turbulence]], quantized vortices, 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 fluid dynamics (see Madelung equations).
 
Some common experimental applications of these studies are in liquid helium (<sup>3</sup>He and <sup>4</sup>He), and of the interior of neutron stars and the 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]].
</div>
 
<div style="width:300px;">
[[File:Quantum_hydrodynamics_concept_map.svg|thumb|280px|hydrodynamics in the Quantum Collection.]]
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</div>
 
== See also ==
{{#invoke:PhysicsQC|tocHeadingAndList|Physics:Quantum basics/See also}}


==References==
==References==
{{reflist}}
{{reflist}}
* {{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 }}
* {{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 }}
{{Quantum field theories}}
[[Category:Quantum mechanics]]


{{Sourceattribution|Quantum hydrodynamics}}
{{Sourceattribution|Quantum hydrodynamics}}

Latest revision as of 00:07, 24 May 2026


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In condensed matter physics, quantum hydrodynamics (QHD)[1] is most generally the study of hydrodynamic-like systems which demonstrate quantum mechanical behavior. They arise in semiclassical mechanics in the study of metal and semiconductor devices, in which case being derived from the Boltzmann transport equation combined with Wigner quasiprobability distribution. In quantum chemistry they arise as solutions to chemical kinetic systems, in which case they are derived from the Schrödinger equation by way of Madelung equations.

An important system of study in quantum hydrodynamics is that of superfluidity. Some other topics of interest in quantum hydrodynamics are quantum turbulence, quantized vortices, second and third sound, and quantum solvents. The quantum hydrodynamic equation is an equation in Bohmian mechanics, which, it turns out, has a mathematical relationship to classical fluid dynamics (see Madelung equations).

Some common experimental applications of these studies are in liquid helium (3He and 4He), and of the interior of neutron stars and the quark–gluon plasma. Many famous scientists have worked in quantum hydrodynamics, including Richard Feynman, Lev Landau, and Pyotr Kapitsa.

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hydrodynamics in the Quantum Collection.

See also

Table of contents (217 articles)

Index

Full contents

References

  1. ↑ Shabbir A. Khan; Michael Bonitz (2014). "Quantum Hydrodynamics". in Michael Bonitz. Complex Plasmas. Springer Series on Atomic, Optical, and Plasma Physics. 82. Springer. pp. 103–152. doi:10.1007/978-3-319-05437-7. ISBN 978-3-319-05436-0. Bibcode: 2014cpsc.book.....B. 
  • Robert E. Wyatt (2005). Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics. Springer. ISBN 978-0-387-22964-5. 

Source attribution: Quantum hydrodynamics

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