Taha Toros Arşivi, Dosya Adı: Taha Toros. Not : Gazetenin "Not : Gazetenin "Edebi" köşesinde yayımlanmıştır.İstanbul Kalkınma Ajansı (TR10/14/YEN/0033) İstanbul Development Agency (TR10/14/YEN/0033

Albeverio S.

Friedrichs K. O.

Glazman I. M.

Gohberg I. C.

H. Neidhardt

Hübner M.

M. Muminov

Malishev V. A.

Minlos R. A.

Mogilner A. I.

Reed M.

T. Rasulov

Tretter C.

Turkish

arXiv

A lattice model of radiative decay (so-called spin-boson model) of a two level atom and at most two photons is considered. The location of the essential spectrum is described. For any coupling constant, the finiteness of the number of eigenvalues below the bottom of its essential spectrum is proved. The results are obtained by considering a more general model H for which the lower bound of its essential spectrum is estimated. Conditions which guarantee the finiteness of the number of eigenvalues of H below the bottom of its essential spectrum are found. It is shown that the discrete spectrum might be infinite if the parameter functions are chosen in a special form

Muminov, Mukhiddin

Neidhardt, H.

Rasulov, T.

Universiti Teknologi Malaysia Institutional Repository

On the spectrum of the lattice spin-boson hamiltonian for any coupling: 1d case

A lattice model of radiative decay (so-called spin-boson model) of a
two level atom and at most two photons is considered. The location of the
essential spectrum is described. For any coupling constant the finiteness of
the number of eigenvalues below the bottom of its essential spectrum is
proved. The results are obtained by considering a more general model H for
which the lower bound of its essential spectrum is estimated. Conditions
which guarantee the finiteness of the number of eigenvalues of H below the
bottom of its essential spectrum are found. It is shown that the discrete
spectrum might be infinite if the parameter functions are chosen in a special
form

Neidhardt, Hagen

Rasulov, Tulkin

Repositorium für Naturwissenschaften und Technik  (TIB Hannover)

English

On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case

Publications Server of the Weierstrass Institute for Applied Analysis and Stochastics

Mukhiddin Muminov

Hagen Neidhardt

Tulkin Rasulov

CiteSeerX

A lattice model of radiative decay (so-called spin-boson model) of a two level atom and at most two photons is considered. The location of the essential spectrum is described. For any coupling constant the finiteness of the number of eigenvalues below the bottom of its essential spectrum is proved. The results are obtained by considering a more general model H for which the lower bound of its essential spectrum is estimated. Conditions which guarantee the finiteness of the number of eigenvalues of H below the bottom of its essential spectrum are found. It is shown that the discrete spectrum might be infinite if the parameter functions are chosen in a special form

Crossref

Journal of Mathematical Physics

Muminov, M.

http://openaccess.marmara.edu.tr//bitstream/11424/146337/3/001501507006.pdf

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Universiti Teknologi Malaysia Institutional Repository

Repositorium für Naturwissenschaften und Technik (TIB Hannover)

Publications Server of the Weierstrass Institute for Applied Analysis and Stochastics

CiteSeerX

Publications Server of the Weierstrass Institute for Applied Analysis and Stochastics

Crossref

Universiti Teknologi Malaysia Institutional Repository