Subdynamics theory in the functional approach to quantum mechanics

Details Subdynamics theory in the functional approach to quantum mechanics Subdynamics theory in the functional approach to quantum mechanics

1999-03-23

arxiv.org/abs/quant-ph/9903079v1

Int.J.Theor.Phys. 38 (1999) 165-181

Physics

Quantum Physics

11 pages

Scientific paper

The formalism of subdynamics is extended to the functional approach of quantum systems, and used for the Friedrichs model, in which diagonal singularities in states and observables are included. We compute in this approach the generalized eigenvectors and eigenvalues of the Liouvulle-Von Newmann operator, using an iterative scheme. As complex generalized eigenvalues are obtained, the decay rates of unstable modes are included in the spectral decomposition.

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