ON THE LOWER SPECTRUM OF THE TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR
DOI:
https://doi.org/10.46754/jmsi.2025.06.004Keywords:
Operator energy, lower spectrum, unperturbed operator, quantum particles, systems of two quantum particlesAbstract
In this paper, it is established that if the lower edge of the spectrum is an isolated point of the Schrodinger operator of a system of two particles on a lattice, then it is a simple eigenvalue and a strictly positive eigenvector corresponds to it, under certain conditions with respect to the dispersion functions and potential.
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