Maqola

Spectral properties of two particle Hamiltonian on one-dimensional lattice

M. I. MuminovSamarkand State University, Universitetskii boulevard, 15, 140101, Samarkand, UzbekistanAbdimazhid Molikovich HurramovFaculty of Science, Universiti Teknologi Malaysia (UTM) Skudai, 81310, s. Johor, Malaysia

Ufimskii Matematicheskii Zhurnaljournal2014en

ABI

Annotatsiya

We consider a system of two arbitrary quantum particles on a one-dimensional lattice with special dispersion functions (describing site-to-site particle transport), where the particles interact by a chosen attraction potential. We study how the number of eigenvalues of operator family () depends on the particle interaction energy and the total quasimomentum T (where T is a one-dimensional torus). Subject to the particle interaction energy, we obtain conditions for existence of multiple eigenvalues below the essential spectrum of operator ().

Mavzular

Quantum chaos and dynamical systems Spectral Theory in Mathematical Physics Quantum optics and atomic interactions

Identifikatorlar

DOI: 10.13108/2014-6-4-99

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