Abstract
Within the framework of general relativity the Dirac equation for the hydrogen atom is given in case of a spatially isotropic and homogeneous expanding space-time (Robertson Walker metric). In the special case of the static, closed 3-dimensional spherical space (Einstein Universe) we get a continuous energy spectrum for the H-atom.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Peres, A.: J. Math. Phys.5, 720 (1964).
—— Phys. Rev.120, 1044 (1960).
Callaway, J.: Phys. Rev.112, 290 (1958).
Taub, A.H.: Phys. Rev.51, 512 (1937).
Schrödinger, E.: Acad. Pontificio, Commentationes, vol. II, No. 9.
Infeld, L., Schild, A.E.: Phys. Rev.70, 410 (1946).
McVittie, G.C.: Monthly Notices Roy. Astron. Soc.92, 868 (1932).
Dautcourt, G.: Gen. Rel. and Gravitation2, 97 (1971).
Titchmarsh, E.C.: Eigenfunktion Expansion, Part One. Oxford: Oxford Univ. Press.
—— Proc. London Math. Soc.11, (3), 159–168 (1961).
Roos, B.W., Sangren, W.C.: Proc. Ann. Math. Soc.12, 468 (1961).
———— J. Math. Phys.3, 882 (1962).
———— J. Math. Phys.4, 999 (1963).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nowotny, E. Hydrogen atom in the Friedman universe. Commun.Math. Phys. 26, 321–332 (1972). https://doi.org/10.1007/BF01645527
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01645527