Quantum statistical mechanics of electron gas in magnetic field
Electron eigenstates in a magnetic field are considered. Density of the electrical current and an averaged magnetic moment are obtained. Density of states is investigated for two-dimensional electron in a circle that is bounded by the infinite potential barrier. The present study shows that the co...
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| Datum: | 2006 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2006
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/121376 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Quantum statistical mechanics of electron gas in magnetic field / I.M. Dubrovskii // Condensed Matter Physics. — 2006. — Т. 9, № 4(48). — С. 645–658. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | Electron eigenstates in a magnetic field are considered. Density of the electrical current and an averaged
magnetic moment are obtained. Density of states is investigated for two-dimensional electron in a circle that
is bounded by the infinite potential barrier. The present study shows that the common quantum statistical
mechanics of electron gas in a magnetic field leads to incorrect results. The magnetic moment of electron
gas can be computed as the sum of averaged moments of the occupied states. The computations lead to the
results that differ from the ones obtained as the derivative of the thermodynamical potential with respect to
the magnetic field. Other contradictions in common statistical thermodynamics of electron gas in a magnetic
field are pointed out. The conclusion is done that these contradictions arise from using the incorrect statistical
operator. A new quantum function of distribution is derived from the basic principles, taking into account the
law of conservation of an angular momentum. These results are in accord with the theory that has been
obtained within the framework of classical statistical thermodynamics in the previous work. |
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