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Open Quantum Systems Decoherence

On Friedrichs Model with Two Continuum States

arXiv
Authors: Zhiguang Xiao, Zhi-Yong Zhou

Year

2016

Paper ID

7825

Status

Preprint

Abstract Read

~2 min

Abstract Words

75

Citations

N/A

Abstract

The Friedrichs model with one discrete state coupled to more than one continuum is studied. The exact eigenstates for the full Hamiltonian can be solved explicitly. The discrete state is found to generate more than one virtual state pole or more than one pair of resonance poles in different Riemann sheets in different situations. The form factors could also generate new states on different sheets. All these states can appear in the generalized completeness relation.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • The Friedrichs model with one discrete state coupled to more than one continuum is studied.

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