Mathematica: Difference between revisions
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== Mathematica for Quantum Physics == | == Mathematica for Quantum Physics == | ||
*[https://resources.wolframcloud.com/FunctionRepository/resources/MatrixPartialTrace/ Matrix Partial Trace] calling via ResourceFunction | *[https://resources.wolframcloud.com/FunctionRepository/resources/MatrixPartialTrace/ Matrix Partial Trace] calling via ResourceFunction | ||
*[http://nrgljubljana.ijs.si/sneg/ SNEG package for Dirac notation and second quantization calculations] | *[http://nrgljubljana.ijs.si/sneg/ SNEG package for Dirac notation and second quantization calculations] | ||
*[https://arxiv.org/abs/1403.7050 R. Schmied, ''Using Mathematica for Quantum Mechanics: A Student’s Manual''] | |||
== Hands-on Tutorials by the Instructor == | == Hands-on Tutorials by the Instructor == | ||
Revision as of 10:07, 6 February 2025
Hands-on Tutorials and Guides by Wolfram
Basics
Intermediate
- Calculus and Algebra
- Mathematical Functions
- Function Visualization
- Function in Complex Plane Visualization
- Data Visualization
Advanced
- Asymptotic Calculus
- Integral Transforms
- Fourier Analysis
- Special Functions for Quantum Mechanics
- Wolfram Quantum Framework
Mathematica for Quantum Physics
- Matrix Partial Trace calling via ResourceFunction
- SNEG package for Dirac notation and second quantization calculations
- R. Schmied, Using Mathematica for Quantum Mechanics: A Student’s Manual
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]
