Loading...
A Coupled Cluster Technique With Iterative Bogoliubov Transformations For Computing Eigenvalues Of Perturbed Quantum Harmonic Oscillators
Huey-You, Carson
Huey-You, Carson
Citations
Altmetric:
Soloist
Composer
Publisher
Date
2020
Additional date(s)
Abstract
The details of a coupled cluster technique making use of iterative Bogoliubov transformations for the calculation of the ground and excited states of a coupled set of perturbed harmonic oscillators are developed. A diagrammatic approach is presented and implemented for the efficient development of cluster amplitude and energy equations. The method is applied to a quadratic and quartic perturbations to illustrate the power of Bogoliubov transformations in providing an improved zeroth order Hamiltonian for perturbative methods. Some initial numerical results for a single quartic oscillator are also presented showing good agreement with exact results obtained from numerical integration of the Schrdinger equation. A new iterative Bogoliubov transformation scheme is applied and shown to improve the agreement with exact results considerably. Finally, explicit coupled cluster and energy equations are presented for a set of coupled oscillators subjected to cubic and quartic perturbations.
Contents
Subject
Subject(s)
Research Projects
Organizational Units
Journal Issue
Genre
Thesis
Description
Format
Department
Physics and Astronomy