Summary
The paper deals with the reduction of the generalised Dirac equation for a system containing N electrons to its 2N large components. The wave equation for many electron systems has been derived in its Schrödinger-Pauli form, and this includes higher order relativistic effects such as the mass change of the particles with their velocities, the spin-orbit, the orbit-orbit and the spin-spin interactions. A few remarks are made on the physical interpretation of the components of the wave function and the relations which they should obey in order to satisfy the Pauli Exclusion Principle.
Similar content being viewed by others
References
Viswanathan, K. S...Proc. Ind. Acad. Sci., 1960,42, 35.
Breit, G...Phys. Rev., 1929,34, 553.
—————.. Ibid., 1932,39, 616.
Sucher, J. and Foley, H... Ibid., 1954,95, 966.
Bethe, H. A. and Salpeter, E. E.Handbuch der physik, Springer-Verlag, Berlin, 1957, 35.
Weyl, H. ..The Theory of Groups and Quantum Mechanics, Methuen & Company, Limited, 1931, pp. 90–91.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Viswanathan, K.S. The many electron wave equation in the Schrödinger-Pauli form. Proc. Indian Acad. Sci. 55, 261–279 (1962). https://doi.org/10.1007/BF03045867
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03045867