Mathematica: Difference between revisions
From phys813
Jump to navigationJump to search
| Line 16: | Line 16: | ||
*[https://www.wolfram.com/quantum-computation-framework/ Wolfram Quantum Framework] | *[https://www.wolfram.com/quantum-computation-framework/ Wolfram Quantum Framework] | ||
== Mathematica Additional Packages for Quantum | == Mathematica Additional Packages for Quantum Mechanics == | ||
*[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] | ||
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 Additional Packages for Quantum Mechanics
- 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]
