1. SylabUZ
2. Wydział Fizyki i Astronomii
3. semestr zimowy 2018/2019
4. Fizyka - drugiego stopnia z tyt. magistra
5. Symbolic programming in physical processes simulations

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Symbolic programming in physical processes simulations - opis przedmiotu

Cel przedmiotu

Students can use a Computer Algebra Systems (Mathematica, Sage, Maxima as examples) in symbolic problem solving in physics and verification of analytical calculations.

Wymagania wstępne

Zapisz zmiany

Knowledge of calculus and linear algebra and the basis of classical mechanics, classical electrodynamics and quantum mechanics. Programming in C or Fortran.

Zakres tematyczny

1. Introduction to computer algebra (wxMaxima, Mathematica):
   - Sessions, evaluation of expressions, environment variables,
   - Differentiation and integration,
   - Systems of linear equations,
   - 2D and 3D plots and data visualization,
   - Differential equations.

2. Classical Mechanics:
   - Harmonic oscillator,
   - Coupled harmonic oscillators,
   - Two-body problem.

3. Electrodynamics:
   - Discrete distribution of charges,
   - Poisson equation,
   - Charged particle in an electromagnetic field.

4. Quantum Mechanics:
   - Potential barrier,
   - Potential well,
   - Harmonic oscillator,
   - Hydrogen atom.

Metody kształcenia

Laboratory classes in the computer lab. Working in groups. Joint solving of more complex or laborious examples.

Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się

Opis efektu	Symbole efektów	Metody weryfikacji	Forma zajęć

Warunki zaliczenia

The condition of positive assessment is the accomplishment of all programming exercises.

Final assessment: the weighted average of the final test (50%) and programming exercises (50%).

Literatura podstawowa

[1] L. D. Landau, E. M. Lifszyc, Mechanics, Vol. 1, (3rd ed.), Butterworth–Heinemann 1976.

[2] D. J. Griffiths, Introduction to Electrodynamics, (3rd ed.), Addison Wesley 1999.

[3] L. Piela, Ideas of Quantum Chemistry, (1st ed.), Elsevier 2006.

[4] S. Wolfram, The mathematica book, 5-th ed., Wolfram Media 2003.

[5] http://maxima.sourceforge.net/docs/tutorial/en/gaertner-tutorial-revision/Contents.htm

Literatura uzupełniająca

Uwagi

Zmodyfikowane przez dr hab. Piotr Lubiński, prof. UZ (ostatnia modyfikacja: 28-06-2018 17:48)