Spectral problem for the mean field Hamiltonian

We consider the mean field Hamiltonian HV = κ ΔV + ξ(·) in l2(V ), where V = {x} is a finite set. Characteristic equations for eigenvalues and expressions for eigenfunctions of HV are obtained. Using this result, the spectral representation of the solution of the corresponding ("head transition...

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Bibliographic Details
Main Author: Arvydas Astrauskas
Format: Article
Language:English
Published: Vilnius University Press 2021-06-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/24252