Geodesic
Quantum moment equations for a two-band $k\cdot p$ Hamiltonian
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 1, pp. 103-121

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The hydrodynamic moment equations for a quantum system described by a two-band $k \cdot p$ Hamiltonian are derived. In the case of pure states, it is proved that the order-0 and order-1 moment equations yield a closed system which is the two band analogue of Madelung's fluid equations. 
@article{BUMI_2005_8_8B_1_a4,
     author = {Barletti, Luigi},
     title = {Quantum moment equations for a two-band $k\cdot p$ {Hamiltonian}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {103--121},
     publisher = {mathdoc},
     volume = {Ser. 8, 8B},
     number = {1},
     year = {2005},
     zbl = {1150.81001},
     mrnumber = {MR2122977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a4/}
}
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Barletti, Luigi. Quantum moment equations for a two-band $k\cdot p$ Hamiltonian. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 1, pp. 103-121. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a4/