The PState Continuum Function and the Absorption Coefficient of the Negative Hydrogen Ion
Abstract
By means of a partial separation of angles and the use of difference approximations, the Schroedinger wave equation for the negative hydrogen ion in the symmetric Pstate is reduced to a system of linear algebraic equations. The system is solved numerically in a finite region, for a given energy and with asymptotic values specified on the boundary. The resultant wave function is used to calculate the absorption coefficients of the negative hydrogen ion for the wavelengths = 8000 A and = 12000 A. The results are then compared with the best previously calculated values. The values as determined from the dipole moment, momentum, and acceleration operators are compared, with special attention given the acceleration. These three ways of calculating the absorption coefficient are shown to agree qulte well. It is thus shown that improvement of the continuum wave function plays a vital role in attempting to improve further the calculated absorption coefficient. Key words: atomic physics  light absorption  hydrogen ion
 Publication:

Astronomy and Astrophysics
 Pub Date:
 January 1971
 Bibcode:
 1971A&A....10..213P