Articles liés à Some Problems in the Spectral Theory of Separated Dirac...
Some Problems in the Spectral Theory of Separated Dirac Operators: A representation of the spectral function of a Dirac operator and a bound for points of spectral concentration - Couverture souple
Synopsis
This work describes a representation of the spectral function for the Dirac operator, and includes an application of this representation to the problem of bounding the points of spectral concentration of the operator. Conditions on the potential function under which an absolutely continuous spectrum exists are given. A connection is made between the Dirac system and a Riccati equation, and the spectral derivative is expressed using a series solution of the Riccati equation. Conditions under which this series converges are given. The terms of the series are then differentiated to obtain a representation of the second derivative of the spectral function. The question of relative asymptotic sizes of the terms of this representation are addressed. The construction and application of the representation are similar to those used to investigate the spectrum of the Sturm-Liouville operator.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
This work describes a representation of the spectral function for the Dirac operator, and includes an application of this representation to the problem of bounding the points of spectral concentration of the operator. Conditions on the potential function under which an absolutely continuous spectrum exists are given. A connection is made between the Dirac system and a Riccati equation, and the spectral derivative is expressed using a series solution of the Riccati equation. Conditions under which this series converges are given. The terms of the series are then differentiated to obtain a representation of the second derivative of the spectral function. The question of relative asymptotic sizes of the terms of this representation are addressed. The construction and application of the representation are similar to those used to investigate the spectrum of the Sturm-Liouville operator.
Biographie de l'auteur
Dr. Joshua Eggenberger received his PhD in mathematical science from Northern Illinois University in 2010. He has taught undergraduate mathematics courses at NIU, Kishwaukee College, and Anoka-Ramsey Community College, and is currently an assistant professor at Ashford University in Clinton, Iowa.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurLAP LAMBERT Academic Publishing
- Date d'édition2012
- ISBN 10 384733767X
- ISBN 13 9783847337676
- ReliureBroché
- Langueanglais
- Nombre de pages72
- Coordonnées du fabricantnon disponible
Acheter neuf
Afficher cet article
EUR 41,05
EUR 9,70 expédition depuis Allemagne vers France
Destinations, frais et délaisRésultats de recherche pour Some Problems in the Spectral Theory of Separated Dirac...
Image fournie par le vendeur
Some Problems in the Spectral Theory of Separated Dirac Operators
Edité par
LAP LAMBERT Academic Publishing, 2012
ISBN 10 : 384733767X
ISBN 13 : 9783847337676
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Eggenberger Joshua T.Dr. Joshua Eggenberger received his PhD in mathematical science from Northern Illinois University in 2010. He has taught undergraduate mathematics courses at NIU, Kishwaukee College, and Anoka-Ramsey Community Co. N° de réf. du vendeur 5511012
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Some Problems in the Spectral Theory of Separated Dirac Operators : A representation of the spectral function of a Dirac operator and a bound for points of spectral concentration
Edité par
LAP LAMBERT Academic Publishing, 2012
ISBN 10 : 384733767X
ISBN 13 : 9783847337676
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This work describes a representation of the spectral function for the Dirac operator, and includes an application of this representation to the problem of bounding the points of spectral concentration of the operator. Conditions on the potential function under which an absolutely continuous spectrum exists are given. A connection is made between the Dirac system and a Riccati equation, and the spectral derivative is expressed using a series solution of the Riccati equation. Conditions under which this series converges are given. The terms of the series are then differentiated to obtain a representation of the second derivative of the spectral function. The question of relative asymptotic sizes of the terms of this representation are addressed. The construction and application of the representation are similar to those used to investigate the spectrum of the Sturm-Liouville operator. N° de réf. du vendeur 9783847337676
Quantité disponible : 1 disponible(s)
Image fournie par le vendeur
Some Problems in the Spectral Theory of Separated Dirac Operators
Edité par
LAP LAMBERT Academic Publishing Jan 2012, 2012
ISBN 10 : 384733767X
ISBN 13 : 9783847337676
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This work describes a representation of the spectral function for the Dirac operator, and includes an application of this representation to the problem of bounding the points of spectral concentration of the operator. Conditions on the potential function under which an absolutely continuous spectrum exists are given. A connection is made between the Dirac system and a Riccati equation, and the spectral derivative is expressed using a series solution of the Riccati equation. Conditions under which this series converges are given. The terms of the series are then differentiated to obtain a representation of the second derivative of the spectral function. The question of relative asymptotic sizes of the terms of this representation are addressed. The construction and application of the representation are similar to those used to investigate the spectrum of the Sturm-Liouville operator. 72 pp. Englisch. N° de réf. du vendeur 9783847337676
Quantité disponible : 2 disponible(s)
Image fournie par le vendeur
Some Problems in the Spectral Theory of Separated Dirac Operators
Edité par
LAP LAMBERT Academic Publishing Jan 2012, 2012
ISBN 10 : 384733767X
ISBN 13 : 9783847337676
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Neuware -This work describes a representation of the spectral function for the Dirac operator, and includes an application of this representation to the problem of bounding the points of spectral concentration of the operator. Conditions on the potential function under which an absolutely continuous spectrum exists are given. A connection is made between the Dirac system and a Riccati equation, and the spectral derivative is expressed using a series solution of the Riccati equation. Conditions under which this series converges are given. The terms of the series are then differentiated to obtain a representation of the second derivative of the spectral function. The question of relative asymptotic sizes of the terms of this representation are addressed. The construction and application of the representation are similar to those used to investigate the spectrum of the Sturm-Liouville operator.Books on Demand GmbH, Überseering 33, 22297 Hamburg 72 pp. Englisch. N° de réf. du vendeur 9783847337676
Quantité disponible : 2 disponible(s)
Image d'archives
Some Problems in the Spectral Theory of Separated Dirac Operators: A representation of the spectral function of a Dirac operator and a bound for points of spectral concentration
Edité par
LAP LAMBERT Academic Publishing, 2012
ISBN 10 : 384733767X
ISBN 13 : 9783847337676
Ancien ou d'occasion
Paperback
Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
Paperback. Etat : Like New. Like New. book. N° de réf. du vendeur ERICA796384733767X6
Quantité disponible : 1 disponible(s)