Physics:Quantum hydrodynamics: Difference between revisions
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{{Short description|Topic in condensed matter physics}} | {{Short description|Topic in condensed matter physics}} | ||
{{Quantum book backlink|Quantum dynamics and evolution}} | |||
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{{Distinguish|Quantum hadrodynamics}} | {{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]]. | 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]]. | ||
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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]]. | 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== | ==See also== | ||
Revision as of 21:52, 17 May 2026
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.
See also
References
- ↑ 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
