Use of Quantum Mechanical Methods to Obtain a Bohm Type Coefficient of Diffusion |
| H. Jiménez Domínguez
Instituto Nacional de Investigaciones Nucleares, Apartado Postal No. 18-1027, Col. Escandón, México 11801, D.F. México |
| Received: January 15, 2009; In final form: May 29, 2009 |
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| A Bohm type coefficient of diffusion is obtained by means of a procedure starting from the Hamiltonian of a single electron in a dilute plasma in the presence of an external, uniform magnetic field of constant magnitude and an electrical potential that serves to simulate an electrical fluctuation which drives the guiding center drift. Using the concept of the differentiation of operators with respect to time, the formula for the well known E × B drift velocity is recovered. Finally, the solution of a quantum mechanical equation of motion for the guiding center is found in the quasi classical approximation to obtain a diffusion coefficient. |
| DOI: 10.12693/APhysPolA.116.197 PACS numbers: 51.20.+d, 52.20.Dq, 52.25.Fi, 52.25.Xz |