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Phys. Rev. A 66, 025804 (2002) [4 pages]

Exact analytical solution of a polariton model: Undetermined coefficient approach

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G. Qin1,2, K. L. Wang1, and Z. D. Wang2,3
1Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei, People’s Republic of China
2Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong, People’s Republic of China
3Department of Materials Science and Engineering, University of Science and Technology of China, Hefei, People’s Republic of China

Received 26 November 2001; published 16 August 2002

Using a concise approach with undetermined coefficients, instead of the conventional diagonalization method, we obtain rigorously the energies and analytical wave functions of the ground state and excited states of a polariton model. The results indicate that our method is not only equivalent to the conventional one, but also has its own advantage. We also study several interesting properties of the polariton ground state.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.025804
DOI:
10.1103/PhysRevA.66.025804
PACS:
42.50.Dv, 71.36.+c
 
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