Correlated states and collective transition operators for multilevel atomic systems. II. Symmetry properties

Rai, Jagdish and Mehta, CL and Mukunda, N (1988) Correlated states and collective transition operators for multilevel atomic systems. II. Symmetry properties. In: Journal of Mathematical Physics, 29 (11). pp. 2443-2449.

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Abstract

The symmetry properties of the N-particle multilevel system are studied. For indistinguishable particles, the total wave function must be either symmetric or antisymmetric in the exchange of any two particles. The internal states of the multilevel system are combined with suitable spatial wave functions to produce a totally symmetric or antisymmetric wave function. The problem of degeneracy and the method of combining a given permutational symmetry of the internal wave function with the same or the conjugate symmetry for the spatial part are described. It is found that Young's diagram corresponding to the given irreducible representation of the permutation group plays an important role. Journal of Mathematical Physics is copyrighted by The American Institute of Physics.

Item Type:	Journal Article
Publication:	Journal of Mathematical Physics
Publisher:	American Institute of Physics
Additional Information:	The copyright of this article belongs to American Institute of Physics
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) Division of Physical & Mathematical Sciences > Physics
Date Deposited:	21 Jul 2004
Last Modified:	09 Jan 2012 10:14
URI:	http://eprints.iisc.ac.in/id/eprint/963

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