Theoretical Physics on the Personal Computer is a novel, easy-to-comprehend and well-structured text, ideal as an introduction to problem-solving with computers for advanced undergraduate students. Sixteen instructive chapters are included in this book, covering the fields of classical mechanics, wave physics, electrodynamics, thermodynamics and quantum mechanics. In each chapter, a problem is first explained and placed into its physical context before an outline of the appropriate numerical steps, the corresponding program in FORTRAN 77 and various related problems are discussed. The final section of each chapter discusses the solutions and gives examples of graphics outputs. The required software for this book is included on floppy disk. It has been designed for the IBM PC/AT and can be used on compatibles and mainframes with only minor changes. For students and lecturers this book will prove to be an indispensable guide for classes in physics, applied mathematics, computer science and engineering.

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zlib/no-category/Professor Dr. Erich W. Schmid, Dr. Gerhard Spitz, Wolfgang Lösch (auth.)/Theoretical Physics on the Personal Computer_2110683.pdf

by Erich W. Schmid, Gerhard Spitz, Wolfgang Lösch

Spektrum Akademischer Verlag. in Springer-Verlag GmbH

Steinkopff. in Springer-Verlag GmbH

Springer Nature (Textbooks & Major Reference Works), Berlin, Heidelberg, 2012

Berlin, Heidelberg, Germany, 1988

Germany, Germany

lg956784

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Online full text is restricted to subscribers.
Also available in print.
Mode of access: World Wide Web.

We would like to thank Mr. A.H. Armstrong, who translated this book, for his many valuable suggestions and corrections. We also acknowledge a stimulating response from our readers. Mr. J. Peeck sent us a diskette containing the pro­ grams modified to run on an ATARI computer. Mr. H.U. Zimmermann sent us diskettes, on which the graphics software of the book is adapted to the require­ ments of the FORTRAN-77 compiler by MICROSOFT. Readers interested in these adaptations should contact the authors. Tiibingen, January 1988 E. W. Schmid, G. Spitz v Preface to the German Edition This book is based on the lecture course "Computer applications in Theo­ retical Physics", which has been offered at the University of Tiibingen since 1979. This course had as its original aim the preparation of students for a nu­ merical diploma course in theoretical physics. It soon became clear, however, that the course provides a valuable supplement to the fundamental lectures in theoretical physics. Whereas teaching in this field had previously been prin­ cipally characterised by the derivation of equations, it is now possible to give deeper understanding by means of application examples. A graphical presen­ tation of numerical results proves to be important in emphasizing the physics. Interaction with the machine is also valuable. At the end of each calculation the computer should ask the question: "Repeat the calculation with new data (yes/no)?". The student can then answer "yes" and input the new data, e.g. Floppy disk/supplementary electronic material no longer available

Front Matter....Pages I-XII
Introduction....Pages 1-9
Numerical Differentiation and Introduction into Screen Dialogue....Pages 10-19
Numerical Integration....Pages 20-32
Harmonic Oscillations with Sliding and Static Friction, Graphical Output of Curves....Pages 33-40
Anharmonic Free and Forced Oscillations....Pages 41-50
Coupled Harmonic Oscillations....Pages 51-56
The Flight Path of a Space Craft as a Solution of the Hamilton Equations....Pages 57-78
The Celestial Mechanics Three-body Problem....Pages 79-87
Computation of Electric Fields by the Method of Successive Over-relaxation....Pages 88-99
The Van der Waals Equation....Pages 100-112
Solution of the Fourier Heat Conduction Equation and the “Geo-Power Station”....Pages 113-121
Group and Phase Velocity in the Example of Water Waves....Pages 123-133
Solution of the Radial Schrödinger Equation by the Fox-Goodwin Method....Pages 134-146
The Quantum Mechanical Harmonic Oscillator....Pages 147-155
Solution of the Schrödinger Equation in Harmonic Oscillator Representation....Pages 156-162
The Ground State of the Helium Atom by the Hylleraas Method....Pages 163-178
The Spherical Harmonics....Pages 179-186
The Spherical Bessel Functions....Pages 187-194
Scattering of an Uncharged Particle from a Spherically Symmetric Potential....Pages 195-206
Back Matter....Pages 207-211

Introduction
Numerical Differentiation and Introduction into Screen Dialogue
Numerical Integration
Harmonic Oscillations with Sliding and Static Friction, Graphical Output of Curves
Anharmonic Free and Forced Oscillations
Coupled Harmonic Oscillations
The Flight Path of a Space Craft as a Solution of the HAMILTON Equations
The Celestial Mechanics Three-body Problem
Computation of Electric Fields by the Method of Successive Over-relaxation
The VAN DER WAALS Equation
Solution of the FOURIER Heat Conduction Equation and the "Geo-Power Station"
Group and Phase Velocity in the Example of Water Waves
Solution of the Radial SCHRÖDINGER Equation by the FOX-GOODWIN Method
The Quantum Mechanical Harmonic Oscillator
Solution of the SCHRÖDINGER Equation in Harmonic Oscillator Representation
The Ground State of the Helium Atom by the HYLLERAAS Method
The Spherical Harmonics
The Spherical BESSEL Functions
Scattering of an Uncharged Particle from a Spherically Symmetric Potential
References
Subject Index.

__Theoretical Physics on the Personal Computer__

2013-08-01