Maqola

Threshold Phenomena in the Spectrum of the Two-Particle Schrödinger Operator on a Lattice

S. N. LakaevSamarkand State University, Samarkand, UzbekistanA. T. BoltaevSamarkand State University, Samarkand, Uzbekistan

Theoretical and Mathematical Physicsjournal2019en

ABI

Annotatsiya

For a broad class of short-range pairwise attraction potentials, we study threshold phenomena in the spectrum of the two-particle Schrödinger operator associated with the energy operator of the s–d exchange model. We prove that the bound state (eigenvalue) either exists or does not exist depending on the exchange interaction parameter, the system quasimomentum, and dimension of the lattice.

Mavzular

Spectral Theory in Mathematical Physics Quantum chaos and dynamical systems Quantum Mechanics and Non-Hermitian Physics

Identifikatorlar

DOI: 10.1134/s0040577919030036

Iqtiboslar va manbalar

7 ta iqtibos 23 ta foydalanilgan manba

Koʻrsatkichlar — AkademScholar · Tez orada