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

• Authors: H. Jiménez-Domínguez
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

51.20.+d; 52.20.Dq; 52.25.Fi; 52.25.Xz; 05.40.Jc; 42.50.Nn

Discipline

• 42.50.Nn: Quantum optical phenomena in absorbing, amplifying, dispersive and conducting media; cooperative phenomena in quantum optical systems
• 05.40.Jc: Brownian motion
• 51.20.+d: Viscosity, diffusion, and thermal conductivity
• 52.25.Xz: Magnetized plasmas
• 52.25.Fi: Transport properties
• 52.20.Dq: Particle orbits

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 119
• Issue: 6
• Pages: 798-802

Dates

published

2011-06

received

2010-05-19

(unknown)

2010-10-01

(unknown)

2011-03-01

Contributors

author

H. Jiménez-Domínguez

• Instituto Nacional de Investigaciones Nucleares, Apartado Postal No. 18-1027, Col. Escandón, México 11801, D.F. México

References

• 1. D. Bohm, E.H.S. Burhop, H.S.W. Massey, R.W. Williams, in: A Study of the Arc Plasma in the Characteristics of Electrical Discharges in Magnetic Fields, Eds. A. Guthrie, R.W. Wakerling, 1st ed., McGraw Hill, New York 1949, p. 173
• 2. H. Jiménez-Domínguez, Acta Phys. Pol. A 116, 197 (2009)
• 3. F.W. King, University of Wisconsin - Eau Claire [e-mail], private communication
• 4. C. Cohen-Tannoudji, B. Diu, F. Laloë, Quantum Mechanics, Vol. 1, Wiley, New York 1977
• 5. N. Rostoker, M.W. Binderbauer, H.J. Monkhorst, Science 278, 1419 (1997)
• 6. S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943), Eq. (174)

Identifiers

DOI

10.12693/APhysPolA.119.798