Search Results for: spherical harmonics in p dimensions

Spherical Harmonics In P Dimensions

Spherical Harmonics in p Dimensions PDF
Author: Costas Efthimiou
Publisher: World Scientific
Size: 62.18 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 156
View: 5226

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Spherical Harmonics In P Dimensions Book Description

by Costas Efthimiou, Spherical Harmonics In P Dimensions Books available in PDF, EPUB, Mobi Format. Download Spherical Harmonics In P Dimensions books, The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before exploring the main subject matter. Contents:Introduction and MotivationWorking in p DimensionsOrthogonal PolynomialsSpherical Harmonics in p DimensionsSolutions to Problems Readership: Undergraduate and graduate students in mathematical physics and differential equations. Key Features:Accessible to everyone (including undergraduate students who have some knowledge in mathematics)Presents a topic that, although well-studied, is not widely disseminated in booksSolutions to all end-of-chapter problems with all the necessary details are given in the final chapter of the bookKeywords:Spherical Harmonics;Special Functions;Mathematical Physics;Green's Functions;Legendre Polynomials


The Functions Of Mathematical Physics

The Functions of Mathematical Physics PDF
Author: Harry Hochstadt
Publisher: Courier Corporation
Size: 42.10 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 352
View: 6071

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The Functions Of Mathematical Physics Book Description

by Harry Hochstadt, The Functions Of Mathematical Physics Books available in PDF, EPUB, Mobi Format. Download The Functions Of Mathematical Physics books, Comprehensive text provides a detailed treatment of orthogonal polynomials, principal properties of the gamma function, hypergeometric functions, Legendre functions, confluent hypergeometric functions, and Hill's equation.


Elements Of Dimensional Geometry

Elements of Dimensional Geometry PDF
Author: P. Williams
Publisher:
Size: 20.57 MB
Format: PDF, ePub
Category :
Languages : en
Pages : 67
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Elements Of Dimensional Geometry Book Description

by P. Williams, Elements Of Dimensional Geometry Books available in PDF, EPUB, Mobi Format. Download Elements Of Dimensional Geometry books, The encapsulated work is structured as an axiomatic extension of Euclid's elements relevant to the geometry of proportion infused with notions common to Pythagorean number theory; This provides the logical foundation necessary to analyze the structure of the natural dimensional proportion of Pascal's triangle. A novel modulus nine analysis method is deployed enabling full geometric characterization of the complementary symmetry shown to mediate the consecutive geometric transformations of such numeric proportion. Key elements of conventional quantum theory are placed within the context of the proposed dimensional framework: The nature of spherical harmonics, thought to control the periodic order of atomic energy states, is shown to be symmetrically governed by the complementary cuboctahedral dipole field produced by the rotational differentiation of space and time. Through this lens atomic energy is seen as the absolute measure of electron-proton dipole field-potential accumulated and bound-neutral via spatial/temporal differentiation. The base field symmetry is geometrically proven to culminate with the in-circle perspective of the 3-4-5 triangle, which produces an integral spectrum of electromagnetic prime-monopole proportion posited to be characteristic of photons. Such proportion are proven to be carried upon the diagonals of sequential triple right-triangles ordered by the constant variance between in-circle and ex-circle radii (this variable is shown to modulate the frequency and amplitude of such proportion).


Japanese Science And Technology 1983 1984

Japanese Science and Technology  1983 1984 PDF
Author: United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch
Publisher:
Size: 52.51 MB
Format: PDF, ePub, Docs
Category : Science
Languages : en
Pages :
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Japanese Science And Technology 1983 1984 Book Description

by United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, Japanese Science And Technology 1983 1984 Books available in PDF, EPUB, Mobi Format. Download Japanese Science And Technology 1983 1984 books,


Multigroup One Dimensional Spherical Harmonic Solutions To The Boltzmann Transport Equation

Multigroup One dimensional Spherical Harmonic Solutions to the Boltzmann Transport Equation PDF
Author: Dale Robert Metcalf
Publisher:
Size: 28.93 MB
Format: PDF, ePub, Mobi
Category : Neutron transport theory
Languages : en
Pages : 52
View: 1829

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Multigroup One Dimensional Spherical Harmonic Solutions To The Boltzmann Transport Equation Book Description

by Dale Robert Metcalf, Multigroup One Dimensional Spherical Harmonic Solutions To The Boltzmann Transport Equation Books available in PDF, EPUB, Mobi Format. Download Multigroup One Dimensional Spherical Harmonic Solutions To The Boltzmann Transport Equation books,


Sdma For Multipath Wireless Channels

SDMA for Multipath Wireless Channels PDF
Author: Igor P. Kovalyov
Publisher: Springer Science & Business Media
Size: 18.73 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 160
View: 7775

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Sdma For Multipath Wireless Channels Book Description

by Igor P. Kovalyov, Sdma For Multipath Wireless Channels Books available in PDF, EPUB, Mobi Format. Download Sdma For Multipath Wireless Channels books, Space Division Multiple Access is one of the most promising methods in solving the capacity problem of wireless communication systems. This book defines formulae that can be used to evaluate the limit capacity of multipath wireless channels in a particular receiving region with size limitation.


Electron Backscatter Diffraction In Materials Science

Electron Backscatter Diffraction in Materials Science PDF
Author: Adam J. Schwartz
Publisher: Springer Science & Business Media
Size: 64.71 MB
Format: PDF, ePub, Mobi
Category : Technology & Engineering
Languages : en
Pages : 403
View: 1005

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Electron Backscatter Diffraction In Materials Science Book Description

by Adam J. Schwartz, Electron Backscatter Diffraction In Materials Science Books available in PDF, EPUB, Mobi Format. Download Electron Backscatter Diffraction In Materials Science books, Electron backscatter diffraction is a very powerful and relatively new materials characterization technique aimed at the determination of crystallographic texture, grain boundary character distributions, lattice strain, phase identification, and much more. The purpose of this book is to provide the fundamental basis for electron backscatter diffraction in materials science, the current state of both hardware and software, and illustrative examples of the applications of electron backscatter diffraction to a wide-range of materials including undeformed and deformed metals and alloys, ceramics, and superconductors. The text has been substantially revised from the first edition, and the authors have kept the format as close as possible to the first edition text. The new developments covered in this book include a more comphrensive coverage of the fundamentals not covered in the first edition or other books in the field, the advances in hardware and software since the first edition was published, and current examples of application of electron backscatter diffraction to solve challenging problems in materials science and condensed-matter physics.


Multigroup Equations For The Description Of The Particle Transport In Semiconductors

Multigroup Equations for the Description of the Particle Transport in Semiconductors PDF
Author: Martin Galler
Publisher: World Scientific
Size: 41.67 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 228
View: 3231

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Multigroup Equations For The Description Of The Particle Transport In Semiconductors Book Description

by Martin Galler, Multigroup Equations For The Description Of The Particle Transport In Semiconductors Books available in PDF, EPUB, Mobi Format. Download Multigroup Equations For The Description Of The Particle Transport In Semiconductors books, Deterministic simulation of the particle transport in semiconductor devices is an interesting alternative to the common Monte Carlo approach. In this book, a state-of-the-art technique called the multigroup approach is presented and applied to a variety of transport problems in bulk semiconductors and semiconductor devices. High-field effects as well as hot-phonon phenomena in polar semiconductors are studied in detail. The mathematical properties of the presented numerical method are studied, and the method is applied to simulating the transport of a two-dimensional electron gas formed at a semiconductor heterostructure. Concerning semiconductor device simulation, several diodes and transistors fabricated of silicon and gallium arsenide are investigated. For all of these simulations, the numerical techniques employed are discussed in detail. This unique study of the application of direct methods for semiconductor device simulation provides the interested reader with an indispensable reference on this growing research area.


Geometric Applications Of Fourier Series And Spherical Harmonics

Geometric Applications of Fourier Series and Spherical Harmonics PDF
Author: Helmut Groemer
Publisher: Cambridge University Press
Size: 46.74 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 329
View: 7375

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Geometric Applications Of Fourier Series And Spherical Harmonics Book Description

by Helmut Groemer, Geometric Applications Of Fourier Series And Spherical Harmonics Books available in PDF, EPUB, Mobi Format. Download Geometric Applications Of Fourier Series And Spherical Harmonics books, A full exposition of the classical theory of spherical harmonics and their use in proving stability results.


Introduction To Partial Differential Equations

Introduction to Partial Differential Equations PDF
Author: Peter J. Olver
Publisher: Springer Science & Business Media
Size: 11.76 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 636
View: 5987

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Introduction To Partial Differential Equations Book Description

by Peter J. Olver, Introduction To Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Introduction To Partial Differential Equations books, This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.