Invariant subspaces of the Schrödinger operator with a finite support potential

DOI10.1134/S1995080222060026OpenAlexW4285504541MaRDI QIDQ2172902

A. M. Toshturdiev, Janikul I. Abdullaev

Publication date: 19 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222060026

zbMATH Keywords

eigenvalueHamiltonianSchrödinger operatorinvariant subspaceeigenfunctionrestrictiontotal quasimomentum

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Invariant subspaces of linear operators (47A15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Spherical and hyperbolic convexity (52A55)

Related Items (7)

Infiniteness of the discrete spectrum of two-particle discrete Schrödinger operators ⋮ The essential spectrum of a three particle Schrödinger operator on lattices ⋮ On the existence of bound states of a system of two fermions on the two-dimensional cubic lattice ⋮ Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one ⋮ The existence and asymptotics of eigenvalues of Schrödinger operator on two dimensional lattices ⋮ The number of eigenvalues of the three-particle Schrödinger operator on three dimensional lattice ⋮ On the number and location of eigenvalues of the two particle Schrödinger operator on a lattice

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