Comment on “Bound-state eigenenergy outside and inside the continuum for unstable multilevel systems”

E. N. Bulgakov, I. Rotter, and A. F. Sadreev
Phys. Rev. A 75, 067401 – Published 22 June 2007

Abstract

We discuss the solution of the basic equations of the N-level Friedrichs model by using the Feshbach projection operator (FPO) technique and consider the relation between bound states in the continuum (BICs) and form factors. In the FPO formalism, the BICs are eigenstates of a non-Hermitian Hamilton operator with vanishing decay width. The wave function of a BIC is localized inside the system. On the basis of the FPO solutions we discuss the mechanism to yield a BIC at every coupling strength between system and environment. We relate our results to those given by Miyamoto [Phys. Rev. A 72, 063405 (2005)].

  • Received 22 November 2006

DOI:https://doi.org/10.1103/PhysRevA.75.067401

©2007 American Physical Society

Authors & Affiliations

E. N. Bulgakov1,2, I. Rotter1, and A. F. Sadreev1,2

  • 1Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany
  • 2Kirensky Institute of Physics, 660036, Krasnoyarsk, Russia

Article Text (Subscription Required)

Click to Expand

Original Article

References (Subscription Required)

Click to Expand
Issue

Vol. 75, Iss. 6 — June 2007

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×