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7 - Eigenfunction rules
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Document type :
Partie d'ouvrage
DOI :
10.1016/B978-0-12-819388-4.00016-2
Permalink :
http://hdl.handle.net/20.500.12210/57419
Title :
7 - Eigenfunction rules
Author(s) :
Dobrzynski, Leonard [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Physique - IEMN [PHYSIQUE - IEMN]
Al Wahsh, Housni [Auteur]
Benha University [BU]
AKJOUJ, ABDELLATIF [Auteur] refId
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Physique - IEMN [PHYSIQUE - IEMN]
El Boudouti, El Houssaine [Auteur]
Book title :
Photonics, Part one: photonic paths
Publisher :
Elsevier
Publication date :
2021
ISBN :
978-0-12-819388-4
English keyword(s) :
Path state
Photonics
Network
Surface
Eigenfunction rules
Subsystem state
Response function
HAL domain(s) :
Sciences de l'ingénieur [physics]
English abstract : [en]
It is well known that eigenfunctions have to be continuous at each space point of the structure in which they are localized. This is not the only rule they have to fulfill. Rules involving eigenfunction derivatives are ...
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It is well known that eigenfunctions have to be continuous at each space point of the structure in which they are localized. This is not the only rule they have to fulfill. Rules involving eigenfunction derivatives are also used in the bulk and at the boundary of all physical systems. The aim of this section is to try and reach a general formulation of the eigenfunction rules. At each space point of this network, it is found that the eigenfunctions are continuous and the sum of their outgoing first derivatives is equal to zero. These rules fix the values of the discrete eigenvalues.Show less >
Language :
Anglais
Audience :
Internationale
Popular science :
Non
Collections :
  • Institut d'Électronique, de Microélectronique et de Nanotechnologie (IEMN) - UMR 8520
Source :
Harvested from HAL
Submission date :
2021-11-13T05:22:05Z
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