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Title: Nondegeneracy of the ground state for nonrelativistic Lee model
Authors: Erman, Fatih
Malkoç, Berkin
Turgut, Osman Teoman
Keywords: Riemannian manifolds
Lee model
Hilbert space
Ground states
Field theory
Issue Date: Aug-2014
Publisher: American Institute of Physics
Source: Erman, F., Malkoç, B., and Turgut, O.T. (2014). Nondegeneracy of the ground state for nonrelativistic Lee model. Journal of Mathematical Physics, 55(8). doi:10.1063/1.4892763
Abstract: In the present work, we first briefly sketch the construction of the nonrelativistic Lee model on Riemannian manifolds, introduced in our previous works. In this approach, the renormalized resolvent of the system is expressed in terms of a well-defined operator, called the principal operator, so as to obtain a finite formulation. Then, we show that the ground state of the nonrelativistic Lee model on compact Riemannian manifolds is nondegenerate using the explicit expression of the principal operator that we obtained. This is achieved by combining heat kernel methods with positivity improving semi-group approach and then applying these tools directly to the principal operator, rather than the Hamiltonian, without using cut-offs.
ISSN: 0022-2488
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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