Jump to ContentJump to Main Navigation
Excitons and Cooper PairsTwo Composite Bosons in Many-Body Physics$
Users without a subscription are not able to see the full content.

Monique Combescot and Shiue-Yuan Shiau

Print publication date: 2015

Print ISBN-13: 9780198753735

Published to Oxford Scholarship Online: March 2016

DOI: 10.1093/acprof:oso/9780198753735.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 22 February 2019

The Bogoliubov Approach

The Bogoliubov Approach

Chapter:
(p.222) 8 The Bogoliubov Approach
Source:
Excitons and Cooper Pairs
Author(s):

Monique Combescot

Shiue-Yuan Shiau

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198753735.003.0008

Chapter 8 deals with the Bogoliubov approach to the BCS problem. This approach is of fundamental interest because it gives a mathematical support to the BCS ansatz, which was simply proposed by Bardeen, Cooper, and Schrieffer as a trial wave function. This chapter shows that the BCS ansatz corresponds to the ground-state wave function of the one-body Bogoliubov Hamiltonian constructed from the BCS Hamiltonian. This mathematical support is highly welcome because the BCS ansatz contains the questionable idea that composite bosons condense, like elementary bosons, all into the same state, even if the product of N identical electron pair operators substantially differs from that of N single pair operators when N gets large, owing to the moth-eaten effect induced by the Pauli exclusion principle.

Keywords:   Bogoliubov approach, BCS ansatz, Bogoliubov Hamiltonian, moth-eaten effect, Pauli exclusion principle, BCS Hamiltonian

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .