東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Green's functions in classical physics

Rother, Tom.

Linked to FindBook

Google Book

Amazon

博客來

Green's functions in classical physics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Green's functions in classical physics/ by Tom Rother.
Author:	Rother, Tom.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xi, 267 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Prologue -- About the State of Physics -- Basic Structural Elements of Physics -- About Classical Physics and Quantum Mechanics -- Green's Functions of Classical Particles -- The Simple Harmonic Oscillator -- The Damped Harmonic Oscillator -- Elementary Motions of a Point Mass -- Lippmann-Schwinger Equation -- Two Systematic Ways to Derive Green's Functions -- Temporal Boundary Value Problem of the Harmonic Oscillator -- Two Simple Interaction Processes and Huygens' Principle -- Particle Scattering on a Rigid Sphere and Kepler Problem -- Green's Functions of Classical Fields -- Comments on the Field Concept -- The Elastic String -- Poisson Equations of Higher Dimensions -- Wave Equations of Higher Dimensions -- The Scalar Helmholtz Equation -- Scattering Problems -- Probability Experiments and Green's Functions in Classical Event Spaces -- Probability Experiments in a Two-Dimensional Event Space -- Probability Experiments in a Four-Dimensional Event Space -- Outlook or Something Like an End -- Classical Free Point Mass and Green's Function of the Diffusion Equation -- Schrodinger Equation of the Free Particle and Green's Function -- Classical Fokker-Planck Equation and Schrodinger Equation -- A Relation Between the Green's Functions of the Klein-Gordon- and Dirac Equation.
Contained By:	Springer eBooks
Subject:	Green's functions. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-52437-5
ISBN:	9783319524375

Green's functions in classical physics
Rother, Tom.

Green's functions in classical physics[electronic resource] /by Tom Rother. - Cham :Springer International Publishing :2017. - xi, 267 p. :ill. (some col.), digital ;24 cm. - Lecture notes in physics,v.9380075-8450 ;. - Lecture notes in physics ;v.938..

Prologue -- About the State of Physics -- Basic Structural Elements of Physics -- About Classical Physics and Quantum Mechanics -- Green's Functions of Classical Particles -- The Simple Harmonic Oscillator -- The Damped Harmonic Oscillator -- Elementary Motions of a Point Mass -- Lippmann-Schwinger Equation -- Two Systematic Ways to Derive Green's Functions -- Temporal Boundary Value Problem of the Harmonic Oscillator -- Two Simple Interaction Processes and Huygens' Principle -- Particle Scattering on a Rigid Sphere and Kepler Problem -- Green's Functions of Classical Fields -- Comments on the Field Concept -- The Elastic String -- Poisson Equations of Higher Dimensions -- Wave Equations of Higher Dimensions -- The Scalar Helmholtz Equation -- Scattering Problems -- Probability Experiments and Green's Functions in Classical Event Spaces -- Probability Experiments in a Two-Dimensional Event Space -- Probability Experiments in a Four-Dimensional Event Space -- Outlook or Something Like an End -- Classical Free Point Mass and Green's Function of the Diffusion Equation -- Schrodinger Equation of the Free Particle and Green's Function -- Classical Fokker-Planck Equation and Schrodinger Equation -- A Relation Between the Green's Functions of the Klein-Gordon- and Dirac Equation.

This 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: 9783319524375

Standard No.: 10.1007/978-3-319-52437-5doiSubjects--Topical Terms:

596295
Green's functions.

LC Class. No.: QC174.17.G68

Dewey Class. No.: 530.15

Green's functions in classical physics
LDR:03681nmm a2200325 a 4500 001 2097779
003 DE-He213
005 20170427141512.0
006 m d
007 cr nn 008maaau
008 171229s2017 gw s 0 eng d
020 $a 9783319524375 $q (electronic bk.)
020 $a 9783319524368 $q (paper)
024 7 $a 10.1007/978-3-319-52437-5 $2 doi
035 $a 978-3-319-52437-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.17.G68
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
082 0 4 $a 530.15 $2 23
090 $a QC174.17.G68 $b R846 2017
100 1 $a Rother, Tom. $3 2055427
245 1 0 $a Green's functions in classical physics $h [electronic resource] / $c by Tom Rother.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xi, 267 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 0075-8450 ; $v v.938
505 0 $a Prologue -- About the State of Physics -- Basic Structural Elements of Physics -- About Classical Physics and Quantum Mechanics -- Green's Functions of Classical Particles -- The Simple Harmonic Oscillator -- The Damped Harmonic Oscillator -- Elementary Motions of a Point Mass -- Lippmann-Schwinger Equation -- Two Systematic Ways to Derive Green's Functions -- Temporal Boundary Value Problem of the Harmonic Oscillator -- Two Simple Interaction Processes and Huygens' Principle -- Particle Scattering on a Rigid Sphere and Kepler Problem -- Green's Functions of Classical Fields -- Comments on the Field Concept -- The Elastic String -- Poisson Equations of Higher Dimensions -- Wave Equations of Higher Dimensions -- The Scalar Helmholtz Equation -- Scattering Problems -- Probability Experiments and Green's Functions in Classical Event Spaces -- Probability Experiments in a Two-Dimensional Event Space -- Probability Experiments in a Four-Dimensional Event Space -- Outlook or Something Like an End -- Classical Free Point Mass and Green's Function of the Diffusion Equation -- Schrodinger Equation of the Free Particle and Green's Function -- Classical Fokker-Planck Equation and Schrodinger Equation -- A Relation Between the Green's Functions of the Klein-Gordon- and Dirac Equation.
520 $a This 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.
650 0 $a Green's functions. $3 596295
650 0 $a Mathematical physics. $3 516853
650 1 4 $a Physics. $3 516296
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Theoretical and Applied Mechanics. $3 896500
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
650 2 4 $a Planetary Sciences. $3 3218833
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in physics ; $v v.938. $3 3236888
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-52437-5
950 $a Physics and Astronomy (Springer-11651)