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Solving Advanced Physics Problems with Mathematica

Michael Trott
Organization: Wolfram Research, Inc.
Department: Scientific Information Group

2004 Wolfram Technology Conference
Conference location

Champaign IL

Many modern physics problems can be reduced to carrying out both numerical and symbolical calculations.

Over the last 16 years, Mathematica has acquired a large body of algorithmic, numeric, symbolic, and special function “knowledge.”

With a proper approach, Mathematica can be used very successfully to solve a large variety of research‐level physics problems, including larger numerical ones that only a few years ago were only solvable on large supercomputers.

The four-volume Mathematica GuideBooks contain a collection of these type of examples. A selection of these examples, how to approach them within Mathematica, and how a Mathematica approach is different from a classical “paper and pencil” or procedural programming approach are discussed.

*Applied Mathematics
*Applied Mathematics > Visualization
*Arts and Humanities > Visual Art
*Mathematics > Calculus and Analysis > Harmonic Analysis
*Mathematics > Calculus and Analysis > Special Functions
*Science > Physics > Electromagnetism

Physics problems, Hofstadter butterflies, Organic shapes from simple rules, Closed orbits of the three-body problem, Quantum carpets, High-order perturbation theory, A sliding spinning coin, Operator splitting-evolution in a smooth three-well potential, Brain growth model, Eigenmodes of a vibrating tetrahedron
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