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 #  AuthorTitleAccn#YearItem Type Claims
1 Rother, Tom Green???s Functions in Classical Physics I10149 2017 eBook  
2 Rother, Tom Sound Scattering on Spherical Objects I09092 2020 eBook  
3 Rother, Tom Electromagnetic Wave Scattering on Nonspherical Particles I07821 2009 eBook  
4 Rother, Tom Electromagnetic Wave Scattering on Nonspherical Particles I07453 2014 eBook  
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TitleGreen???s Functions in Classical Physics
Author(s)Rother, Tom
PublicationCham, Springer International Publishing, 2017.
DescriptionXI, 267 p. 45 illus., 1 illus. in color : online resource
Abstract NoteThis book presents the Green???s function formalism in a basic way and demonstrates its usefulness for applications to several well-known problems in classical physics which are usually solved not by this formalism but other approaches. The book bridges the gap between applications of the Green???s function formalism in quantum physics and classical physics. This book is written as an introduction for graduate students and researchers who want to become more familiar with the Green???s function formalism. In 1828 George Green has published an essay that was unfortunately sunken into oblivion shortly after its publication. It was rediscovered only after several years by the later Lord Kelvin. But since this time, using Green???s functions for solving partial differential equations in physics has become an important mathematical tool. While the conceptual and epistemological importance of these functions were essentially discovered and discussed in modern physics - especially in quantum field theory and quantum statistics - these aspects are rarely touched in classical physics. In doing it, this book provides an interesting and sometimes new point of view on several aspects and problems in classical physics, like the Kepler motion or the description of certain classical probability experiments in finite event spaces. A short outlook on quantum mechanical problems concludes this book
ISBN,Price9783319524375
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. Mathematical Applications in the Physical Sciences 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. MECHANICS 9. Mechanics, Applied 10. PHYSICS 11. PLANETARY SCIENCE 12. PLANETARY SCIENCES 13. QUANTUM FIELD THEORY 14. Theoretical and Applied Mechanics
Item TypeeBook
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I10149     On Shelf    

2.     
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TitleSound Scattering on Spherical Objects
Author(s)Rother, Tom
PublicationCham, Springer International Publishing, 2020.
DescriptionVIII, 262 p. 244 illus : online resource
Abstract NoteThis book introduces readers to scattering from a practical/numerical point of view. The focus is on basic aspects like single scattering, multiple scattering, and whether inhomogeneous boundary conditions or inhomogeneous scatterers have to be taken into account. The powerful T-matrix approach is explained in detail and used throughout the book, and iterative solution methods are discussed. In addition, the book addresses appropriate criteria for estimating the accuracy of numerical results, as well as their importance for practical applications. Python code is provided with each chapter, and can be freely used and modified by readers. Moreover, numerous scattering results for different configurations are provided for benchmarking purposes. The book will be particularly valuable for those readers who plan to develop their own scattering code, and wish to test the correct numerical implementation of the underlying mathematics
ISBN,Price9783030364489
Keyword(s)1. ACOUSTICS 2. ASTROPHYSICS 3. Astrophysics and Astroparticles 4. Computational Science and Engineering 5. Computer mathematics 6. EBOOK 7. EBOOK - SPRINGER 8. Elementary particles (Physics) 9. Elementary Particles, Quantum Field Theory 10. NUMERICAL ANALYSIS 11. Numerical and Computational Physics, Simulation 12. PHYSICS 13. QUANTUM FIELD THEORY
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I09092     On Shelf    

3.     
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TitleElectromagnetic Wave Scattering on Nonspherical Particles : Basic Methodology and Simulations
Author(s)Rother, Tom
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2009.
DescriptionXIV, 294 p. 67 illus : online resource
Abstract NoteThis book gives a detailed overview of the theory of electromagnetic wave scattering on single, homogeneous, but nonspherical particles. A related Green???s function formalism is systematically developed which provides a powerful mathematical basis not only for the development of numerical approaches but also to discuss those general aspects like symmetry, unitarity, and the validity of Rayleigh???s hypothesis. Example simulations are performed in order to demonstrate the usefulness of the developed formalism as well as to introduce the simulation software which is provided on a CD-ROM with the book
ISBN,Price9783642007040
Keyword(s)1. CLASSICAL ELECTRODYNAMICS 2. EBOOK 3. EBOOK - SPRINGER 4. ELECTRODYNAMICS 5. ENGINEERING 6. Engineering, general 7. OPTICS
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I07821     On Shelf    

4.    
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TitleElectromagnetic Wave Scattering on Nonspherical Particles : Basic Methodology and Simulations
Author(s)Rother, Tom;Kahnert, Michael
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2014.
DescriptionXVII, 360 p. 94 illus., 1 illus. in color : online resource
Abstract NoteThis book gives a detailed overview of the theory of electromagnetic wave scattering on single, homogeneous, but nonspherical particles. Beside the systematically developed Green???s function formalism of the first edition this second and enlarged edition contains additional material regarding group theoretical considerations for nonspherical particles with boundary symmetries, an iterative T-matrix scheme for approximate solutions, and two additional but basic applications. Moreover, to demonstrate the advantages of the group theoretical approach and the iterative solution technique, the restriction to axisymmetric scatterers of the first edition was abandoned
ISBN,Price9783642367458
Keyword(s)1. ASTROPHYSICS 2. Astrophysics and Astroparticles 3. Atomic, Molecular, Optical and Plasma Physics 4. ATOMS 5. CLASSICAL ELECTRODYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ELECTRODYNAMICS 9. MICROWAVES 10. Microwaves, RF and Optical Engineering 11. Numerical and Computational Physics, Simulation 12. OPTICAL ENGINEERING 13. OPTICS 14. PHYSICS
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I07453     On Shelf    

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