Jump to ContentJump to Main Navigation
Hybrid Phonons in Nanostructures$
Users without a subscription are not able to see the full content.

Brian K. Ridley

Print publication date: 2017

Print ISBN-13: 9780198788362

Published to Oxford Scholarship Online: April 2017

DOI: 10.1093/acprof:oso/9780198788362.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use.date: 26 January 2022

Scalar and Vector Fields

Scalar and Vector Fields

(p.55) 5 Scalar and Vector Fields
Hybrid Phonons in Nanostructures

B. K. Ridley

Oxford University Press

Those quantum structures describable in terms of Cartesian coordinates (e.g. the quantum well) can be treated with the minimum of formality. Turning to quantum structures describable in terms of curvilinear coordinates, it is convenient to establish a more formal basis in order to describe the LO and TO modes in terms of scalar and vector potentials. This chapter covers: nanostructures described by curvilinear coordinates, the Helmholtz equation, scalar and vector potentials, and results for the cylinder and the sphere.

Keywords:   Helmholtz equation, sphere, scalar fields, vector fields, nanostructures

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 .