Advances in Imaging and Electron Physics Dogma of the Continuum and the Calculus of Finite Differences in Quantum Physics

Name: Advances in Imaging and Electron Physics Dogma of the Continuum and the Calculus of Finite Differences in Quantum Physics
Price: 91.65 USD
Availability: InStock
ISBN: 9780120147793

ISBN-10: 0120147793

ISBN-13: 9780120147793

Edition: 2005

Authors: Beate Meffert, Henning Harmuth, Peter W. Hawkes

List price: $275.00

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Description:

Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

Book details

List price: $275.00
Copyright year: 2005
Publisher: Elsevier Science & Technology
Publication date: 12/12/2005
Binding: Hardcover
Pages: 352
Size: 5.98" wide x 9.02" long x 0.38" tall
Weight: 1.496
Language: English

Peter Hawkes obtained his M.A. and Ph.D (and later, Sc.D.) from the university of Cambridge, where he subsequently held Fellowships of Peterhouse and of Churchill College. From 1959 - 1975, he worked in the electron microscope section of the Cavendish laboratory in Cambridge, after which he joined the CNRS Laboratory of Electron Optics in Toulouse, of which he was Director in 1987. He was Founder-President of the European Microscopy Society and is a Fellow of the Optical Society of America. He is a member of the editorial boards of several microscopy journals.



Preface


Future Contributions


Dedication


Foreword


List of Frequently Used Symbols



Introduction



Modified Maxwell Equations and Basic Relations



Basic Concepts of the Calculus of Finite Differences



Lagrange Function and Modified Maxwell Equations



Dogma of the Continuum in Physics



Concept of Space Based on Finite Differences



Modified Klein-Gordon Equation



Differential Equation with Magnetic Current Density



Modified Klein-Gordon Difference Equation



Solution of the Difference Equation of [psi subscript x0]



Time-Dependent Solution of [psi subscript x0]([xi], [theta])



Hamilton Function and Quantization



Plots for First-Order Approximation



Inhomogeneous Difference Equation



Inhomogeneous Term of Eq. (2.2-31)



Evaluation of Eq. (3.1-32)



Quantization of the Solution for [Delta]x [double greater-than sign] h/m[subscript 0]c



Evaluation of the Energy U[subscript c]



Plots for Second-Order Approximation



Klein-Gordon Difference Equation for Small Distances



Evaluation of the Difference Equation for [Delta]x [double less-than sign] h/m[subscript 0]c



Evaluation of Eq. (4.1-4)



Quantization of the Solution for [Delta]x [double less-than sign] h/m[subscript 0]c



Evaluation of the Energy U[subscript c] for Small Distances



Difference Equation in Spherical Coordinates



Charged Particle in an Electromagnetic (EM) Field



Relativistic Mass Variation



Quantization with Differential Operators



Difference Operators



Spatial Difference Equation



Quantization of the Solution [psi subscript r0]([rho], [theta])



Convergence for Small Values of [Delta]r



Plots for Sections 5.5 and 5.7



Origin of the Coulomb Field



Unbounded Bosons in a Coulomb Field



Antiparticles



Appendix



Difference Operators of Higher Order



Extension of Section 3.1 for [Delta]x [double less-than sign lambda subscript C]



Solution of Inhomogeneous Difference Equations



Calculations for Section 4.2



Formulas for Spherical Coordinates



Difference Equations Solved by Polynomials



Discrete Spherical Harmonics



Solution of the Differential Equation (5.5-12)



Conformal Mapping for Section 5.7



Conformal Mapping for Section 5.10


References and Bibliography


Index