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2009 | 116 | 2 | 197-202
Article title

Use of Quantum Mechanical Methods to Obtain a Bohm-Type Coefficient of Diffusion

Content
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Languages of publication
EN
Abstracts
EN
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.
Keywords
Year
Volume
116
Issue
2
Pages
197-202
Physical description
Dates
published
2009-08
received
2009-01-15
(unknown)
2009-05-29
References
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  • 2. I.A. Bernstein, E.A. Frieman, R.M. Kulsrud, M.N. Rosenbluth, Phys. Fluids 3, 136 (1960)
  • 3. L. Spitzer Jr., Phys. Fluids 3, 659 (1960)
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  • 7. C. Cohen-Tannoudji, B. Diu, F. Laloë, Quantum Mechanics, Vol. I, Wiley, New York 1977
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  • 9. L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields, Pergamon Press, London 1987, p. 53
  • 10. L.D. Landau, E.M. Lifshitz, Quantum Mechanics, 2nd ed., Pergamon Press, Addison-Wesley, 1965, Eq. (9.1), p. 26
  • 11. F. Reif, Fundamentals of Statistical and Thermal Physics, McGraw-Hill, New York 1965, p. 566
  • 12. F.W. King, University of Wisconsin - Eau Claire, fking@uwec.edu, private communication
  • 13. A.G. Marshall, D.C. Roe, Anal. Chem. 50, 756 (1978)
  • 14. D.C. Roe, A.G. Marshall, Anal. Chem. 50, 764 (1978)
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Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv116n214kz
Identifiers
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