Mathematica: Difference between revisions
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===Advanced=== | ===Advanced=== | ||
*[https://www.wolfram.com/wolfram-u/courses/mathematics/introduction-to-complex-analysis/ Introduction to Complex Analysis] | |||
*[https://reference.wolfram.com/language/guide/FourierAnalysis.html Fourier Analysis] | *[https://reference.wolfram.com/language/guide/FourierAnalysis.html Fourier Analysis] | ||
*[https://reference.wolfram.com/language/guide/IntegralTransforms.html Integral Transforms] | *[https://reference.wolfram.com/language/guide/IntegralTransforms.html Integral Transforms] | ||
Revision as of 09:29, 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
