Quantum moment equations for a two-band k ⋅ p Hamiltonian

Luigi Barletti

Bollettino dell'Unione Matematica Italiana (2005)

  • Volume: 8-B, Issue: 1, page 103-121
  • ISSN: 0392-4041

Abstract

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The hydrodynamic moment equations for a quantum system described by a two-band k ⋅ 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.

How to cite

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Barletti, Luigi. "Quantum moment equations for a two-band $k\cdot p$ Hamiltonian." Bollettino dell'Unione Matematica Italiana 8-B.1 (2005): 103-121. <http://eudml.org/doc/195127>.

@article{Barletti2005,
abstract = {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.},
author = {Barletti, Luigi},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {103-121},
publisher = {Unione Matematica Italiana},
title = {Quantum moment equations for a two-band $k\cdot p$ Hamiltonian},
url = {http://eudml.org/doc/195127},
volume = {8-B},
year = {2005},
}

TY - JOUR
AU - Barletti, Luigi
TI - Quantum moment equations for a two-band $k\cdot p$ Hamiltonian
JO - Bollettino dell'Unione Matematica Italiana
DA - 2005/2//
PB - Unione Matematica Italiana
VL - 8-B
IS - 1
SP - 103
EP - 121
AB - 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.
LA - eng
UR - http://eudml.org/doc/195127
ER -

References

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  17. LUTTINGER, J. M. - KOHN, W., Motion of electrons and holes in perturbed periodic fields, Phys. Rev., 97 (1955), 869-882. Zbl0064.23801
  18. MADELUNG, E., Quantentheorie in hydrodynamischer Form, Zeitschr. f. Phys., 40 (1926), 322-326. 
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