On some Properties of the Schrauben Functions in Connection with the Magnetic Operators
Open Access
- 1 March 1969
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A
- Vol. 24 (3) , 340-344
- https://doi.org/10.1515/zna-1969-0307
Abstract
In this paper we introduce two new "magnetic" operators and we show that these are the creation and annihilation operators of the schrauben functions. The schrauben functions are the eigenfunctions of the Hamilton operator describing a free electron under the action of a uniform magnetic field. By transforming these two operators we obtain two other operators which we show to be of Harpers type, as was expected.Keywords
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