Content area

Abstract

Translate

We apply the well known Rayleigh-Ritz method (RRM) to the projection of a Hamiltonian operator chosen recently for the extension of the Rayleigh-Ritz variational principle to ensemble states. By means of a toy model we show that the RRM eigenvalues approach to those of the projected Hamiltonian from below in most cases but a few ones. We also discuss the effect of an energy shift and the projection of the identity operator.

Details

1009240
Subject
Eigenvalues;
Rayleigh-Ritz method
URL
http://arxiv.org/abs/2411.14490
Title
On the application of the Rayleigh-Ritz method to a projected Hamiltonian
Author
Fernández, Francisco M
Publication title
arXiv.org; Ithaca
Publication year
2024
Publication date
Dec 24, 2024
Section
Quantum Physics
Publisher
Cornell University Library, arXiv.org
Source
arXiv.org
Place of publication
Ithaca
Country of publication
United States
University/institution
Cornell University Library arXiv.org
Publication subject
Biology, Statistics, Physics, Mathematics, Engineering--Electrical Engineering, Computers--Computer Engineering, Business And Economics--Banking And Finance
e-ISSN
2331-8422
Source type
Working Paper
Language of publication
English
Document type
Working Paper
Publication history
 
 
Online publication date
2024-12-25
Milestone dates
2024-11-20 (Submission v1); 2024-12-15 (Submission v2); 2024-12-17 (Submission v3); 2024-12-24 (Submission v4)
Publication history
 
 
   First posting date
25 Dec 2024
ProQuest document ID
3132694996
Document URL
https://www.proquest.com/working-papers/on-application-rayleigh-ritz-method-projected/docview/3132694996/se-2?accountid=208611
Full text outside of ProQuest
http://arxiv.org/abs/2411.14490
Copyright
© 2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2024-12-26
Database
ProQuest One Academic