Mathematica: Difference between revisions

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== Hands-on Tutorials by Wolfram ==
== Mathematica Notebooks for PHYS813 ==
* [http://www.wolfram.com/broadcast/c?c=141 Wolfram Screencast: Hands-on start to Mathematica]
 
== Quantum Packages ==
*[https://iopscience.iop.org/article/10.1088/1742-6596/698/1/012019/pdf QUANTUM]
*[https://www.wolframcloud.com/obj/wolframquantumframework/DeployedResources/Paclet/Wolfram/QuantumFramework/Documentation/tutorial/GettingStarted.html Wolfram Quantum Framework]
*[https://resources.wolframcloud.com/FunctionRepository/resources/MatrixPartialTrace/ Matrix Partial Trace] calling via ResourceFunction
 
== Hands-on Tutorials by the Instructor ==
*[[Media:getting_started_bkn.nb|Getting Started]]
*[[Media:getting_started_bkn.nb|Getting Started]]
== Mathematica Notebooks for Statistical Mechanics ==
*[[Media:black_body_bkn.nb|Black-body radiation: Classical vs. quantum statistical mechanics approach]]
*[[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
*Essential quantum concepts using spin examples: Quantum states (vectors or density matrices), operators as observables, probabilities and expectation values
*Sommerfeld expansion
*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]]
**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 and Guides by Wolfram ==
===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]
===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

Hands-on Tutorials and Guides by Wolfram

Basics

Intermediate

Advanced

Mathematica Additional Packages for Quantum Mechanics

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