Mathematica: Difference between revisions
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*Essential quantum concepts using spin examples: Quantum states (vectors or density matrices), operators as observables, probabilities and expectation values | *Essential quantum concepts using spin examples: Quantum states (vectors or density matrices), operators as observables, probabilities and expectation values | ||
*Sommerfeld expansion | *Sommerfeld expansion | ||
**B. Cowan, On the chemical potential of ideal Fermi and Bose gases, J. Low Temp. Phys. '''197''', 412 (2019). [https://link.springer.com/article/10.1007/s10909-019-02228-0 | [PDF and Mathematica notebooks]] | **B. Cowan, ''On the chemical potential of ideal Fermi and Bose gases'', J. Low Temp. Phys. '''197''', 412 (2019). [https://link.springer.com/article/10.1007/s10909-019-02228-0 | [PDF and Mathematica notebooks]] | ||
== Hands-on Tutorials and Guides by Wolfram == | == Hands-on Tutorials and Guides by Wolfram == | ||
Revision as of 11:32, 5 February 2026
Mathematica Notebooks for PHYS813
- Getting Started
- Black-body radiation: Classical vs. quantum statistical mechanics approach
- Essential quantum concepts using spin examples: Quantum states (vectors or density matrices), operators as observables, probabilities and expectation values
- Sommerfeld expansion
- B. Cowan, On the chemical potential of ideal Fermi and Bose gases, J. Low Temp. Phys. 197, 412 (2019). | [PDF and Mathematica notebooks]
Hands-on Tutorials and Guides by Wolfram
Basics
- Fast Introduction for Math Students
- Wolfram University courses
- Wolfram Screencast: Hands-on start to Mathematica
Intermediate
- Calculus and Algebra
- Mathematical Functions
- Introduction to Special Functions
- Function Visualization
- Function in Complex Plane Visualization
- Data Visualization
Advanced
- Introduction to Complex Analysis
- Fourier Analysis
- Integral Transforms
- Asymptotic Calculus
- Special Functions for Quantum Mechanics
- Wolfram Quantum Framework
