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Synopsis
The magnetic Schrödinger operator is a Hamiltonian which appears in quantum mechanics, for instance in the study of bound states and scattering of particles. It also serves as a mathematical model for other situations, and understanding its properties has been instrumental in the study of various dispersive equations such as wave equation or Schrödinger equation. The direct or forward scattering problem related to this operator consists of proving existence and uniqueness of solution of the associated electromagnetic Helmholtz equation as well as of showing the existence of the scattering amplitude of the solution which characterizes its behavior at infinity. This book contains the study of the direct problem of such an equation for potentials that decay at infinity, but also have singularities at the origin. It is suitable for graduate students and researcher in mathematics interested in the Helmholtz equation with electric and magnetic potentials.
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About the Author
PhD in Mathematics at University of the Basque Country, Spain, June 2012. Postdoctoral researcher at University of Helsinki since October 2012. Her research interests lie in the study of direct and inverse problems for partial differential equations in Mathematical Physics, in particular in the scattering theory for Schrödinger operators.
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- PublisherLAP LAMBERT Academic Publishing
- Publication date2014
- ISBN 10 3659575291
- ISBN 13 9783659575297
- BindingPaperback
- LanguageEnglish
- Number of pages156
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The forward problem for the Electromagnetic Helmholtz equation
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LAP LAMBERT Academic Publishing, 2014
ISBN 10: 3659575291
ISBN 13: 9783659575297
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The forward problem for the Electromagnetic Helmholtz equation
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LAP LAMBERT Academic Publishing Aug 2014, 2014
ISBN 10: 3659575291
ISBN 13: 9783659575297
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The magnetic Schrödinger operator is a Hamiltonian which appears in quantum mechanics, for instance in the study of bound states and scattering of particles. It also serves as a mathematical model for other situations, and understanding its properties has been instrumental in the study of various dispersive equations such as wave equation or Schrödinger equation. The direct or forward scattering problem related to this operator consists of proving existence and uniqueness of solution of the associated electromagnetic Helmholtz equation as well as of showing the existence of the scattering amplitude of the solution which characterizes its behavior at infinity. This book contains the study of the direct problem of such an equation for potentials that decay at infinity, but also have singularities at the origin. It is suitable for graduate students and researcher in mathematics interested in the Helmholtz equation with electric and magnetic potentials. 156 pp. Englisch. Seller Inventory # 9783659575297
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The Forward Problem for the Electromagnetic Helmholtz Equation
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Condition: New. Print on Demand pp. 156 2:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on Creme w/Gloss Lam. Seller Inventory # 353486756
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The forward problem for the Electromagnetic Helmholtz equation
Published by
LAP LAMBERT Academic Publishing, 2014
ISBN 10: 3659575291
ISBN 13: 9783659575297
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The magnetic Schrödinger operator is a Hamiltonian which appears in quantum mechanics, for instance in the study of bound states and scattering of particles. It also serves as a mathematical model for other situations, and understanding its properties has been instrumental in the study of various dispersive equations such as wave equation or Schrödinger equation. The direct or forward scattering problem related to this operator consists of proving existence and uniqueness of solution of the associated electromagnetic Helmholtz equation as well as of showing the existence of the scattering amplitude of the solution which characterizes its behavior at infinity. This book contains the study of the direct problem of such an equation for potentials that decay at infinity, but also have singularities at the origin. It is suitable for graduate students and researcher in mathematics interested in the Helmholtz equation with electric and magnetic potentials. Seller Inventory # 9783659575297
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The Forward Problem for the Electromagnetic Helmholtz Equation
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2014
ISBN 10: 3659575291
ISBN 13: 9783659575297
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The forward problem for the Electromagnetic Helmholtz equation
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Zubeldia MirenPhD in Mathematics at University of the Basque Country, Spain, June 2012. Postdoctoral researcher at University of Helsinki since October 2012. Her research interests lie in the study of direct and inverse problems for . Seller Inventory # 5165885
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