Mathematica: Quantum Algebra package

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Discussion Overview

The discussion centers around the search for a suitable quantum algebra package for Mathematica, specifically addressing issues with existing packages and clarifying the meaning of "quantum algebra" in different contexts.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant is using a quantum algebra package by Cesar Augusto Guerra but finds it limited to older versions of Mathematica and inadequate for handling non-operators.
  • Another participant questions the specific interpretation of "quantum algebra," distinguishing between different contexts such as arxiv/q-alg and arxiv/quant-ph.
  • A participant clarifies that their definition of quantum algebra includes non-commutative operators and Dirac notation.
  • There is a mention of modern interpretations of quantum algebra that encompass quantum Lie algebras and quantum groups, which could lead to confusion in selecting appropriate packages.
  • One participant shares links to two different quantum algebra packages for Mathematica, specifying their compatibility with versions 8.0 and 5.0, and notes their intention to test the downloaded files.

Areas of Agreement / Disagreement

Participants express differing interpretations of what constitutes quantum algebra, indicating that multiple competing views remain regarding the definition and appropriate packages.

Contextual Notes

There are limitations regarding the compatibility of the discussed packages with specific versions of Mathematica and the potential for misunderstanding the scope of quantum algebra.

evgkr
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Hi,

Does anybody knows good quantum algebra package for Mathematica ?
I'm currently using the package of Cesar Augusto Guerra, but it supports only Mathematica 4.1-4.2 and does not handle well non-operators, thus messing up the simplification process of the equations.


In any case, does anyone has te demo/instruction file
Code:
QuantumAlgebra.nb
of this package.

Thanks ahead.
 
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I can not answer neither, but... do you mean quantum algebra in the sense of arxiv/q-alg or quantum algebra in the sense of arxiv/quant-ph?
 
When I say Quantum Algebra I mean: Non-Commutative operators algebra + Dirac notation.
 
OK. I asked because modernly QA refers also to all the theory of "quantum lie algebras and quantum groups" which relates so solvable systems in [statistical, many-body] mechanics etc. So you can get the wrong package easily.
 

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