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. new starting values for position and velocity in solving an equation of motion. The programming of a user-friendly dialogue is not really difficult, but time consuming. At the beginning of the course the student therefore constructs only the numerical parts of the programs. The numerical parts are therefore deleted from the programs under consideration, and newly programmed by the student. Later on, the programming of the graphical output and of the dialogue is taught. Supplementary electronic material no longer available

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Schmid, Erich W., Spitz, Gerhard, Lösch, Wolfgang

by Erich W. Schmid, Gerhard Spitz, Wolfgang Lösch

Spektrum Akademischer Verlag. in Springer-Verlag GmbH

Springer Berlin Heidelberg : Imprint: Springer

Steinkopff. in Springer-Verlag GmbH

Second edition., Berlin, Heidelberg, Germany, 1990

Germany, Germany

lg971206

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Front Matter....Pages I-XIV
Introduction....Pages 1-11
Numerical Differentiation and Introduction into Screen Dialogue....Pages 12-21
Numerical Integration....Pages 22-34
Harmonic Oscillations with Sliding and Static Friction, Graphical Output of Curves....Pages 35-42
Anharmonic Free and Forced Oscillations....Pages 43-52
Coupled Harmonic Oscillations....Pages 53-58
The Flight Path of a Space Craft as a Solution of the Hamilton Equations....Pages 59-80
The Celestial Mechanics Three-body Problem....Pages 81-89
Computation of Electric Fields by the Method of Successive Over-relaxation....Pages 90-101
The Van der Waals Equation....Pages 102-114
Solution of the Fourier Heat Conduction Equation and the “Geo-Power Station”....Pages 115-123
Group and Phase Velocity in the Example of Water Waves....Pages 125-135
Solution of the Radial Schrödinger Equation by the Fox-Goodwin Method....Pages 136-148
The Quantum Mechanical Harmonic Oscillator....Pages 149-157
Solution of the Schrödinger Equation in Harmonic Oscillator Representation....Pages 158-164
The Ground State of the Helium Atom by the Hylleraas Method....Pages 165-180
The Spherical Harmonics....Pages 181-188
The Spherical Bessel Functions....Pages 189-196
Scattering of an Uncharged Particle from a Spherically Symmetric Potential....Pages 197-208
Back Matter....Pages 209-213

Theoretical Physics on the Personal Computer is a very successful, novel, easy-to-comprehend, and well-structured text, ideal as an introduction to problem-solving with computers for advanced undergraduate students in physics and applied mathematics. The required Fortran 77 software for this book is included on a floppy disk. It has been designed for the IBM PC/XT, PC/AT, and PS/2, and for compatible computers such as the Siemens PC-D2, etc., but it can also be run on mainframes. The second edition has not only been corrected and updated; with the new software the user can work with Microsoft Fortran (with or without a mathematical coprocessor) or the IBM Profort compiler (with coprocessor).

2013-08-01