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.

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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.
Vengono dedotte le equazioni per i momenti idrodinamici di un sistema quantistico descritto da un'Hamiltoniana $k \cdot p$ a due bande. Nel caso di stati puri si dimostra che le equazioni dei momenti di ordine 0 e di ordine 1 forniscono un sistema chiuso che costituisce l'analogo a due bande delle equazioni del fluido di Madelung. 
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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/

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