The existence of eigenvalues of Schrödinger operator on a lattice in the gap of the essential spectrum | Zendy

J. I. Abdullaev | Zendy; A. M. Khalkhuzhaev | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The existence of eigenvalues of Schrödinger operator on a lattice in the gap of the essential spectrum

Author(s) -

J. I. Abdullaev,

A. M. Khalkhuzhaev

Publication year - 2021

Publication title -

journal of physics conference series

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 85

eISSN - 1742-6596

pISSN - 1742-6588

DOI - 10.1088/1742-6596/2070/1/012017

Subject(s) - eigenvalues and eigenvectors , operator (biology) , essential spectrum , lattice (music) , schrödinger's cat , mathematical physics , spectrum (functional analysis) , fermion , mathematics , physics , ladder operator , quantum mechanics , compact operator , chemistry , biochemistry , repressor , transcription factor , acoustics , gene , extension (predicate logic) , computer science , programming language

We consider a three-particle discrete Schrödinger operator H μγ (K), K 2 T 3 associated to a system of three particles (two fermions and one different particle) interacting through zero range pairwise potential μ > 0 on the three-dimensional lattice Z 3 . It is proved that the operator H μγ (K), ||K|| γ 0 has at least two eigenvalues in the gap of the essential spectrum for sufficiently large μ > 0.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research