TY - JOUR
T1 - Quantum hydrodynamic models in semiconductor crystals
AU - Poupaud, F.
AU - Ringhofer, Christian
N1 - Funding Information:
*Supported by ARPA Grant No. F49620-93-1-0062.
PY - 1995/11
Y1 - 1995/11
N2 - We derive the Schrödinger and the Wigner equations for electrons in a crystal in the presence of an external force via spectral projection techniques. It is shown that the mixing of energy bands, due to the external force, can be treated as a small perturbation. The corresponding single state fluid dynamical equation, the quantum hydrodynamical model in a crystal, is derived.
AB - We derive the Schrödinger and the Wigner equations for electrons in a crystal in the presence of an external force via spectral projection techniques. It is shown that the mixing of energy bands, due to the external force, can be treated as a small perturbation. The corresponding single state fluid dynamical equation, the quantum hydrodynamical model in a crystal, is derived.
KW - Quantum hydrodynamics
KW - Schrödinger equations
KW - Semiclassical models
KW - Semiconductors
KW - Wigner functions
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U2 - 10.1016/0893-9659(95)00085-5
DO - 10.1016/0893-9659(95)00085-5
M3 - Article
AN - SCOPUS:58149319652
SN - 0893-9659
VL - 8
SP - 55
EP - 59
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 6
ER -