On the Lee model with dilatation analytic cutoff function
- 1 January 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (1) , 20-24
- https://doi.org/10.1063/1.1666495
Abstract
The spectrum of the Lee model Hamiltonian with Y interaction is studied; first of all we extend the work of Kato and Mugibayashi about the eigenvalues outside the essential spectrum and about the essential spectrum itself. Furthermore, it is proved that the singular‐continuous spectrum is not present; properties of resonances and eigenvalues embedded in the continuous spectrum are obtained.Keywords
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