English

Subdynamics theory in the functional approach to quantum mechanics

Quantum Physics 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/9903079,
  title  = {Subdynamics theory in the functional approach to quantum mechanics},
  author = {Roberto Laura and Rodolfo M. Id Betan},
  journal= {arXiv preprint arXiv:quant-ph/9903079},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-07-22T20:05:48.411Z