Sudarshan, E. C. G. ; Chiu, Charles B. ; Bhamathi, G. (1994) Perturbation theory on generalized quantum mechanical systems Physica A: Statistical Mechanics and its Applications, 202 (3-4). pp. 540-552. ISSN 0378-4371
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0378-4371(94)90478-2
Abstract
We present a general formalism for doing the perturbation theory in the complex energy plane, where the notion of the generalized quantum mechanical systems is used. This formalism is applied to the Friedrichs-Lee model. It reproduces the results of the exact solution, where the spectrum of the generalized quantum mechanical system consists of a discrete complex energy pole and a continuum spectrum (which passes below this discrete pole) in the complex energy plane. We also investigate the role of the "complex delta" function in the description of a resonance state. The unboundedness of the spectrum appears to be the very ingredient needed to give rise to a pure exponential decay.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 50992 |
| Deposited On: | 27 Jul 2011 12:58 |
| Last Modified: | 27 Jul 2011 12:58 |
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