Canonical quantization of the Bateman-Morse-Feshbach damped oscillator |
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| Authors: | Guy Rideau Robert L. Anderson Piotr W. Hebda |
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| Affiliation: | (1) Laboratoire de Physique Théorique et Mathématique, Université Paris VII, 75251 Paris Cedex 05, France;(2) Department of Physics and Astronomy, UGA, 30602 Athens, GA, USA |
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| Abstract: | The Bateman-Morse-Feshbach classical formulation of the damped oscillator is canonically quantized. The spectrum of the Hamiltonian is given. It is shown that the wavefunctions behave asymptotically as a superposition of damped oscillators when their initial values belong to an appropriately-selected dense subset of the Hilbert space.partially supported by U.S. Army Grant DAAL03-87-K-0110.Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy. |
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| Keywords: | 81-XX |
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