# Semiclassics of the quantum current in very strong magnetic fields

Soren Fournais^{[1]}

- [1] Université Paris-Sud, Mathématiques, Bâtiment 425, 91405 Orsay Cedex (France)

Annales de l’institut Fourier (2002)

- Volume: 52, Issue: 6, page 1901-1945
- ISSN: 0373-0956

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topFournais, Soren. "Semiclassics of the quantum current in very strong magnetic fields." Annales de l’institut Fourier 52.6 (2002): 1901-1945. <http://eudml.org/doc/116031>.

@article{Fournais2002,

abstract = {We prove a formula for the current in an electron gas in a semiclassical limit
corresponding to strong, constant, magnetic fields. Little regularity is assumed for the
scalar potential $V$. In particular, the result can be applied to the mean field from
magnetic Thomas-Fermi theory $V_\{\{\rm MTF\}\}$. The proof is based on an estimate on the
density of states in the second Landau band.},

affiliation = {Université Paris-Sud, Mathématiques, Bâtiment 425, 91405 Orsay Cedex (France)},

author = {Fournais, Soren},

journal = {Annales de l’institut Fourier},

keywords = {semiclassics; magnetic Thomas-Ferni theory; quantum current; electron gas; density of states; second Landau band; hydrogen atoms},

language = {eng},

number = {6},

pages = {1901-1945},

publisher = {Association des Annales de l'Institut Fourier},

title = {Semiclassics of the quantum current in very strong magnetic fields},

url = {http://eudml.org/doc/116031},

volume = {52},

year = {2002},

}

TY - JOUR

AU - Fournais, Soren

TI - Semiclassics of the quantum current in very strong magnetic fields

JO - Annales de l’institut Fourier

PY - 2002

PB - Association des Annales de l'Institut Fourier

VL - 52

IS - 6

SP - 1901

EP - 1945

AB - We prove a formula for the current in an electron gas in a semiclassical limit
corresponding to strong, constant, magnetic fields. Little regularity is assumed for the
scalar potential $V$. In particular, the result can be applied to the mean field from
magnetic Thomas-Fermi theory $V_{{\rm MTF}}$. The proof is based on an estimate on the
density of states in the second Landau band.

LA - eng

KW - semiclassics; magnetic Thomas-Ferni theory; quantum current; electron gas; density of states; second Landau band; hydrogen atoms

UR - http://eudml.org/doc/116031

ER -

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