Mathematica: Difference between revisions
From phys813
Jump to navigationJump to search
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
== Hands-on Tutorials by Wolfram == | == Hands-on Tutorials and Guides by Wolfram == | ||
===Basics=== | |||
* [http://www.wolfram.com/broadcast/c?c=141 Wolfram Screencast: Hands-on start to Mathematica] | * [http://www.wolfram.com/broadcast/c?c=141 Wolfram Screencast: Hands-on start to Mathematica] | ||
* [https://www.wolfram.com/language/fast-introduction-for-math-students/en/entering-input/ Fast Introduction for Math Students] | * [https://www.wolfram.com/language/fast-introduction-for-math-students/en/entering-input/ Fast Introduction for Math Students] | ||
* [https:// | ===Intermediate=== | ||
* [https://www.wolfram.com/wolfram | *[https://www.wolfram.com/language/core-areas/calculus-algebra/index.php.en Calculus and Algebra] | ||
*[https://www.wolfram.com/language/core-areas/mathematical-functions/ Mathematical Functions] | |||
*[https://reference.wolfram.com/language/guide/FunctionVisualization.html Function Visualization] | |||
*[https://reference.wolfram.com/language/guide/ComplexVisualization.html.en Functions in Complex Plane Visualization] | |||
*[https://reference.wolfram.com/language/guide/DataVisualization.html Data Visualization] | |||
===Advanced=== | |||
*[https://reference.wolfram.com/language/guide/Asymptotics.html Asymptotic Calculus] | |||
*[https://reference.wolfram.com/language/guide/IntegralTransforms.html Integral Transforms] | |||
*[https://reference.wolfram.com/language/guide/FourierAnalysis.html Fourier Analysis] | |||
*[https://reference.wolfram.com/language/guide/FunctionsUsedInQuantumMechanics.html Special Functions for Quantum Mechanics] | |||
*[https://www.wolfram.com/quantum-computation-framework/ Wolfram Quantum Framework] | |||
== Mathematics for Quantum Physics == | == Mathematics for Quantum Physics == | ||
*[https://arxiv.org/abs/1403.7050 R. Schmied, ''Using Mathematica for Quantum Mechanics: A Student’s Manual''] | *[https://arxiv.org/abs/1403.7050 R. Schmied, ''Using Mathematica for Quantum Mechanics: A Student’s Manual''] | ||
*[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 10:05, 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]
