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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 Eigenvalues Ground states Field theory |
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. | URI: | https://doi.org/10.1063/1.4892763 http://hdl.handle.net/11147/5402 |
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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