Use of Quantum Mechanical Methods to Obtain a Bohm-Type Coefficient of Diffusion. Part II |
| H. Jiménez-Domínguez
Instituto Nacional de Investigaciones Nucleares, Apartado Postal No. 18-1027, Col. Escandón, México 11801, D.F. México |
| Received: May 19, 2010; revised version: October 1, 2010; in final form: March 1, 2011 |
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| The research reported in an article previously published in this journal is pursued here further on. A staircase profile of the graphical representation of the absolute value of the expression for Bohm-type diffusion in two dimensions is analyzed allowing the suggestion that its shape could be related to the well-known structure of levels of the quantized square of the guiding center radius vector and that this structure could be responsible for the appearance of the successive steps in such a profile. When these considerations are taken into account, the expression for Bohm-type diffusion in two dimensions is normalized according to the formula for the quantized square of the guiding center radius vector and a diffusion coefficient whose value is 4/π times the Bohm diffusion coefficient is obtained for large values of the independent variable. |
| DOI: 10.12693/APhysPolA.119.798 PACS numbers: 51.20.+d, 52.20.Dq, 52.25.Fi, 52.25.Xz, 05.40.Jc, 42.50.Nn |