Rai, Jagdish ; Mehta, C. L. ; Mukunda, N. (1988) Correlated states and collective transition operators for multilevel atomic systems. II. Symmetry properties Journal of Mathematical Physics, 29 (11). pp. 2443-2449. ISSN 0022-2488
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Official URL: http://link.aip.org/link/?JMAPAQ/29/2443/1
Related URL: http://dx.doi.org/10.1063/1.528132
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| Keywords: | Quantum Mechanics; Atomic Models; Energy Levels; Energy-level Transitions; Quantum Operators; Symmetry; Transition Probabilities; Irreducible Representations; Group Theory |
| ID Code: | 19604 |
| Deposited On: | 22 Nov 2010 12:19 |
| Last Modified: | 06 Jun 2011 11:24 |
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