Eigenstructure of the 1-particle density operator corresponding to the first excited state of two coupled oscillators
type: Item
instance of: scholarly article
title: Eigenstructure of the 1-particle density operator corresponding to the first excited state of two coupled oscillators
zbMATH Open document ID: 0592.58026
DOI: 10.1016/0034-4877(84)90036-3
author: Jan Maćkowiak
published in: Reports on Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: The author investigates the eigenstructure of the 1-particle density operator \(\rho\) corresponding to the first excited state of two 1- dimensional coupled oscillators. It is shown that \(\rho\) is strictly positive, and a Hamiltonian is constructed for which \(\rho\) is the canonical density matrix of the corresponding effective Hamiltonian system. The exact form of the eigenfunctions and their dependence on the eigenvalues is found, some properties of the spectrum are proved, a method for determining a finite number of terms in power expansion of eigenvalues with respect to parameter \(\lambda\in (0,1)\) is given.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 82B30
Mathematics Subject Classification ID: 81Q99
zbMATH DE Number: 3951636
zbMATH Keywords: excited state
zbMATH Keywords: eigenstructure
zbMATH Keywords: density operator
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
full work available at URL: 0034-4877(84)90036-3
OpenAlex ID: W2095061668
cites work: Q5653193
cites work: Q4378682
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description: scientific article; zbMATH DE number 3951636