Prog. Theor. Phys. Vol. 15 No. 5 (1956) pp. 473-479
On the Relativistic Thomas-Fermi Atom
Tata Institute of Fundamental Research, Apollo Pier Road, Bombay-1, India
(Received February 6, 1956)
The method of March for obtaining the boundary values of the Thomas-Fermi function at high pressure has been extended to the relativistic case with and without temperature perturbation. The boundary values of the non-relativistic temperature perturbed Thomas-Fermi function, obtained by the same method, are compared with the semi-empirical formulae of Gilvarry, thus obtaining a theoretical basis for the latter. The results of this paper may have some astrophysical applications.
DOI : 10.1143/PTP.15.473
- L. H. Thomas, Proc. Camb. Phil. Soc. 23 (1927), 542.
- E. Fermi, Zeit. f. Physik 48 (1928), 73.
J. C. Slater and H. M. Krutter, Phys. Rev. 47 (1935), 559[APS].
R. P. Feynman et al., Phys. Rev. 75 (1949), 1561[APS].
J. J. Gilvarry, Phys. Rev. 96 (1954), 934[APS].
J. J. Gilvarry and P. R. Peebles, Phys. Rev. 99 (1955), 550[APS].
- N. H. March, Proc. Phys. Soc. 68 (1955), 726.
- S. Chandrasekhar, Introduction to the Study of Stellar Structure, Univ. Chicago Press, p. 392.
- R. P. Singh, Ind. J. Phys. 24 (1950), 19.