JMP  Vol.3 No.10 A , October 2012
Path Integral Formulation for Ionic Broadening in Plasmas: Lyman-α with Fine Structure and Dynamical Effects
Abstract: Using the path integral formalism, the fine structure and dynamics effects are taken into account for the broadening of spectral lines in a plasma. A compact expression of the dipolar autocorrelation function for an emitter in the plasma is derived for Lyman alpha lines with fine structure. The expression of the dipolar autocorrelation function takes into account the dynamics effects, which are represented by the time microfield autocorrelation function.
Cite this paper: N. Bedida and M. Meftah, "Path Integral Formulation for Ionic Broadening in Plasmas: Lyman-α with Fine Structure and Dynamical Effects," Journal of Modern Physics, Vol. 3 No. 10, 2012, pp. 1678-1682. doi: 10.4236/jmp.2012.330205.

[1]   H. R. Griem, M. Blaha and P. Kepple, “Stark-Profile Calculations for Resonance Lines of Heliumlike Argon in Dense Plasmas,” Physical Review A, Vol. 41, 1990, pp. 5600-5609.

[2]   M. Baranger, “Atomic and Molecular Processes,” Academic Press Inc., New York, 1962.

[3]   M. Baranger, “Simplified Quantum-Mechanical Theory of Pressure Broadening,” Physical Review, Vol. 111, No. 2, 1958, pp. 481-491. doi:10.1103/PhysRev.111.481

[4]   A. C. Kolb and H. R. Griem, “Theory of Line Broadening in Multiplet Spectra,” Physical Review, Vol. 111, 1958, pp. 514-521.

[5]   R. Feynman and A. R. Hibbs, “Quantum Mechanics and Path Integrals,” McGraw- Hill, New York, 1965.

[6]   H. Kleinert, “Path Integrals in Quantum Mechanics Statistics and Polymer Physics,” World Scientific, Singapore, 1990.

[7]   Is. Chihi, M. T. Meftah and H, Kleinert, “Path Integral Approach in the Plasma Radiation Theory,” Journal of Plasma Physics, Vol. 70, 2004, pp. 553-559. doi:10.1017/S0022377803002794

[8]   H. Bouguettaia, Is. Chihi, K. Chenini, M. T. Meftah, F. Khelfaoui and R. Stamm, “Application of Path Integral Formalism in Spectral Line Broadening: Lyman-α in Hydrogenic Plasma,” Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 94, No. 3-4, 2005, pp. 335-346. doi:10.1016/j.jqsrt.2004.09.015

[9]   H. R. Griem, “Spectral Line Broadening by Plasma,” McGraw-Hill, New York, 1964.

[10]   L. Landau and E. Lifchitz, “Théorie Quantique Relativiste,” MIR, Moscou, 1972.

[11]   N. Bedida, M. T. Meftah, D. Boland and R. Stamm, “Path Integral Formalism for Spectral Line Shape in Plasmas,” Proceedings of the 19th International Conference on Spectral Line Shapes, Valladolid, 15-20 June 2008, pp. 100-101.