Energy levels in Debye field

Astronomy and Astrophysics – Astrophysics

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Atomic Energy Levels, Debye Length, H Lines, Hydrogen Atoms, Red Shift, Eigenvalues, Electron Density (Concentration), Hydrogen Plasma, Plasma Density, Plasma Potentials, Schroedinger Equation

Scientific paper

The radial Schroedinger equation is solved for a Debye potential by an unconventional procedure that yields eigenvalues about a factor of 2 to 4 more slowly than a rapid version of the Numerov procedure but gives the wave function in the form of a series as a by-product. Energy levels in a Debye field are calculated numerically, and redshifts of the H-alpha, H-beta, and H-gamma lines are apparently computed on the basis of Debye screening for increasing values of electron density. The calculated shifts are compared with the measurements of Wiese and Kelleher (1971), who detected an increasing redshift of the H-gamma line with increasing electron density in a plasma. The calculated redshift is found to be of the same sign as, but five times greater than, the measured redshift. Reasons for the discrepancy are considered. It is suggested that some limited many-body treatment of the interactions within a plasma may give a better account of the measured redshifts.

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