The Problem of the Limit Transition to the States of Continuous Spectrumin the Electron Motion in a Magnetic Field

Authors O. Novak

The Institute of Applied Physics of NAS of Ukraine, 58, Petropavlivska Str., 40000 Sumy, Ukraine

Issue Volume 7, Year 2015, Number 3
Dates Received 02 June 2015; published online 20 October 2015
Citation O. Novak, J. Nano- Electron. Phys. 7 No 3, 03032 (2015)
PACS Number(s) 12.20. – m, 95.30.Cq
Keywords Magnetic field (7) , Wave function, Normalizing length.
Annotation The wave function of an electron in a magnetic field shows features of both the discrete and the continuous spectra. It results in appearance of the normalizing lengths in process rates calculated using the scattering theory technique. In the present work the limit transition to the case of a weak field strength has been studied, when the field influence on the electron motion is negligibly small. It is shown that in a small spatial region, the wave function takes the form of a superposition of two waves, which are normalized to the half of the Larmor orbit length.

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