Mathematica: Difference between revisions
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*[https://reference.wolfram.com/language/guide/FunctionsUsedInQuantumMechanics.html Special Functions for Quantum Mechanics] | *[https://reference.wolfram.com/language/guide/FunctionsUsedInQuantumMechanics.html Special Functions for Quantum Mechanics] | ||
*[https://www.wolfram.com/quantum-computation-framework/ Wolfram Quantum Framework] | *[https://www.wolfram.com/quantum-computation-framework/ Wolfram Quantum Framework] | ||
== Mathematics for Quantum Physics == | == Mathematics for Quantum Physics == | ||
Revision as of 10:06, 6 February 2025
Hands-on Tutorials and Guides by Wolfram
Basics
Intermediate
- Calculus and Algebra
- Mathematical Functions
- Function Visualization
- Functions in Complex Plane Visualization
- Data Visualization
Advanced
- Asymptotic Calculus
- Integral Transforms
- Fourier Analysis
- Special Functions for Quantum Mechanics
- Wolfram Quantum Framework
Mathematics for Quantum Physics
- R. Schmied, Using Mathematica for Quantum Mechanics: A Student’s Manual
- Matrix Partial Trace calling via ResourceFunction
- SNEG package for Dirac notation and second quantization calculations
Hands-on Tutorials by the Instructor
Mathematica Notebooks for Statistical Mechanics
- 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]
