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== | == Mathematica Notebooks for PHYS813 == | ||
* [ | *[[Media:getting_started_bkn.nb|Getting Started]] | ||
*[[Media:black_body_bkn.nb|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). [https://link.springer.com/article/10.1007/s10909-019-02228-0 | [PDF and Mathematica notebooks]] | |||
== Hands-on Tutorials by | == Hands-on Tutorials and Guides by Wolfram == | ||
*[http://www. | ===Basics=== | ||
* [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/wolfram-u/courses/catalog/ Wolfram University courses] | |||
== Mathematica | ===Intermediate=== | ||
*[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 Function in Complex Plane Visualization] | |||
*[https://reference.wolfram.com/language/guide/DataVisualization.html Data Visualization] | |||
===Advanced=== | |||
*[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/Asymptotics.html Asymptotic Calculus] | |||
*[https://reference.wolfram.com/language/guide/FunctionsUsedInQuantumMechanics.html Special Functions for Quantum Mechanics] | |||
*[https://www.wolfram.com/quantum-computation-framework/ Wolfram Quantum Framework] | |||
== Mathematica Additional Packages for Quantum Mechanics == | |||
*[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] | |||
*[https://arxiv.org/abs/1403.7050 R. Schmied, ''Using Mathematica for Quantum Mechanics: A Student’s Manual''] | |||
Latest revision as of 22:19, 12 February 2025
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
- Wolfram Screencast: Hands-on start to Mathematica
- Fast Introduction for Math Students
- Wolfram University courses
Intermediate
- Calculus and Algebra
- Mathematical Functions
- Function Visualization
- Function in Complex Plane Visualization
- Data Visualization
Advanced
- Fourier Analysis
- Integral Transforms
- Asymptotic Calculus
- Special Functions for Quantum Mechanics
- Wolfram Quantum Framework
