Mathematica for theoretical physics. [2], (电动力学、量子力学、广义相对论与分形)
发布日期:2006-07-05 浏览次
[内容简介]
This second edition of Baumann's Mathematica(r) in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica(r) to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code to related or similar problems.
The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus.
New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices.
The CD-ROM accompanying each of the two volumes contains Mathematica(r)notebooks as well as Mathematica(r) programs. The notebooks contain the entire text of the corresponding volume and can interface with Mathematica(r). The examples given in the text can also be interactively used and changed for the reader's purposes.
The Author, Gerd Baumann, is affiliated with the Mathematical Physics Division of the University of Ulm, Germany, where he is professor. He is the author of Symmetry Analysis of Differential Equations with Mathematica(r). Dr. Baumann has given numerous invited talks at universities and industry alike. He regularly hosts seminars and lectures on symbolic computing at the University of Ulm and at Technische Universitaet Muenchen (TUM), Munich.
[目次]
Preface - Electrodynamics: Introduction.- Potential and Electric Field of Discrete Charge Distributions.- Boundary Problem of Electrostatics.- Two Ions in the Penning Trap.- Exercises.- Packages and Programs - Quantum Mechanics: Introduction.- The Schroedinger Equation.- One Dimensional Potential.- The Harmonic Oscillator.- Anharmonic Oscillator.- Motion in the Central Force Field.- Second Virial Coefficient and Its Quantum Corrections.- Exercises.- Packages and Programs - General Relativity: Introduction.- The Orbits in General Relativity.- Light Bending in the Gravitational Field.- Einstein's Field Equations (Vacuum Case).- The Schwarzschild Solution.- The Reissner-Nordstrom Solution for a Charged Mass Point.- Exercises.- Packages and Programs - Fractals: Introduction.- Measuring a Borderline.- The Koch Curve.- Multi-Fractals.- The Renormalization Group.- Fractional Calculus.- Exercises.- Packages and Programs - Appendix - Index.
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