Separable Boundary–Value Problems in Physics

Author:   Morten Willatzen ,  Lok C. Lew Yan Voon
Publisher:   Wiley-VCH Verlag GmbH
ISBN:  

9783527410200


Pages:   398
Publication Date:   06 April 2011
Format:   Hardback
Availability:   In Print   Availability explained
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Separable Boundary–Value Problems in Physics


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Full Product Details

Author:   Morten Willatzen ,  Lok C. Lew Yan Voon
Publisher:   Wiley-VCH Verlag GmbH
Imprint:   Wiley-VCH Verlag GmbH
Dimensions:   Width: 18.00cm , Height: 2.30cm , Length: 24.80cm
Weight:   0.888kg
ISBN:  

9783527410200


ISBN 10:   3527410201
Pages:   398
Publication Date:   06 April 2011
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Part I Preliminaries 1. Introduction 2. General Theory Part II Two-Dimensional Coordinate Systems 3. Rectangular Coordinates 4. Circular Coordinates 5. Elliptic Coordinates 6. Parabolic Coordinates Part III Three-Dimensional Coordinate Systems 7. Rectangular Coordinates 8. Circular Cylinder Coordinates 9. Elliptic Cylinder Coordinates 10. Parabolic Cylinder Coordinates 11. Spherical Polar Coordinates 12. Prolate Spheroidal Coordinates 13. Oblate Spheroidal Coordinates 14. Parabolic Rotational Coordinates 15. Conical Coordinates 16. Ellipsoidal Coordinates 17. Paraboloidal Coordinates Part IV Advanced Formulations 18. Differential Geometric Formulations 19. Quantum-mechanical Particle Confined to Neighborhood of Curves 20. Quantum-mechanical Particle Confined to Surfaces of Revolution 21. Boundary Perturbation Theory Appendices A Hypergeometric Functions B Baer Functions C Bessel Functions D Lame Functions E Legendre Functions F Mathieu Functions G Spheroidal Wave Functions H Weber Functions I Elliptic Integrals and Functions Index

Reviews

The text is clear and direct with respect to the mathematics and physics presented. Summing Up: Recommended. Upper-division undergraduates, graduate students, and researchers/faculty. (Choice, 1 December 2011)<p>


They also consider a range of special functions that can result, though they make clear this is not a text on special functions. The fundamental material is suitable for a one-semester course in partial differential equations at the graduate or senior level; the rest of the material can be used as self-study or more advanced courses. (Book News, 1 April 2012) The text is clear and direct with respect to the mathematics and physics presented. Summing Up: Recommended. Upper-division undergraduates, graduate students, and researchers/faculty. (Choice, 1 December 2011)


Author Information

Morten Willatzen is Head of Research at the Center for Product Innovation of the Mads Clausen Institute at the University of Southern Denmark. Having received his PhD from the Niels Bohr Institute at the University of Copenhagen, he held positions at Aarhus University, Max-Planck-Institute for Solid State Research, Germany, and Senior Scientist at Danfoss A/S, DK. In 2000 he became Associate Professor, in 2004 Full Professor at the University of Southern Denmark. Morten Willatzen's research interests include solid state physics, in particular quantum-confined structures and applications to semiconductor laser amplifiers, flow acoustics, and modelling of thermo-fluid systems. L. C. Lew Yan Voon is Professor and Chair of the Department of Physics at Wright State University. Educated in Cambridge, England, and Vancouver, Canada, he received his PhD from Worcester Polytechnic Institute, USA, where he held positions until 2004, with a stay at the Max-Planck-Institute for Solid State Research as an Alexander von Humboldt fellow. Dr. Lew Yan Voon was visiting scientist at the Air Force Research Laboratory, Hong Kong University of Science and Technology, Stanford University, and the University of Southern Denmark. Professor Lew Yan Voon received the Balslev Award (Denmark) and the NSF CAREER award. His research interests are in semiconductor theory and mathematical physics and involve the study of band structure theory and applications to nanostructures.

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