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Pregled bibliografske jedinice broj: 557956

Rad u postupku objavljivanja

Autori: Sunko, Denis K.
Naslov: Electron wave-functions in a magnetic field
Izvornik: Journal of physics. A, Mathematical and theoretical (1751-8113) (2012)
Status rada: Poslan
Ključne riječi: Landau levels; gauge symmetry
Sažetak:
The problem of a single electron in a magnetic field is revisited from first principles. It is shown that the quantization used by Landau was inconsistent, and that his formal solution is but a single Fourier component of the physical one, derived here. Canonical quantization removes the infinite degeneracy in a second quantum number, characteristic of many current treatments of the problem in the literature. The present approach properly accounts for the loss of translation invariance, which occurs because the electron has to move on a circle, whose center is static, but not known in advance. The translations in the plane appear as a distinct gauge group, in addition to the electromagnetic one. Previous research which made explicit use of Landau's wave functions is not automatically invalidated, but may need to be reviewed, in some cases, in the light of this result. In particular, Landau's own estimate of the one-particle density of states of electrons in a magnetic field remains standing.
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Projekt / tema: 119-1191458-0512
Izvorni jezik: ENG
Kategorija: Znanstveni
Znanstvena područja:
Fizika
Puni text rada: 557956.magnel.pdf (tekst priložen 30. Stu. 2012. u 11:48 sati)
Upisao u CROSBI: dks.phy@pmf.hr (dks.phy@pmf.hr), 26. Stu. 2011. u 11:48 sati



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