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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 - Tapa blanda
Sinopsis
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.
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Reseña del editor
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.
Biografía del autor
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.
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Some Problems in the Spectral Theory of Separated Dirac Operators
Publicado por
LAP LAMBERT Academic Publishing Jan 2012, 2012
ISBN 10: 384733767X
ISBN 13: 9783847337676
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Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783847337676
Cantidad disponible: 2 disponibles
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Some Problems in the Spectral Theory of Separated Dirac Operators
Publicado por
LAP LAMBERT Academic Publishing, 2012
ISBN 10: 384733767X
ISBN 13: 9783847337676
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: 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. Nº de ref. del artículo: 5511012
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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
Publicado por
LAP LAMBERT Academic Publishing, 2012
ISBN 10: 384733767X
ISBN 13: 9783847337676
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783847337676
Cantidad disponible: 1 disponibles
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Some Problems in the Spectral Theory of Separated Dirac Operators
Publicado por
LAP LAMBERT Academic Publishing Jan 2012, 2012
ISBN 10: 384733767X
ISBN 13: 9783847337676
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783847337676
Cantidad disponible: 2 disponibles
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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
Publicado por
LAP LAMBERT Academic Publishing, 2012
ISBN 10: 384733767X
ISBN 13: 9783847337676
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Paperback. Condición: Like New. Like New. book. Nº de ref. del artículo: ERICA796384733767X6
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