Questions tagged [ncalgebra]
Questions about the NCAlgebra, a package for manipulating noncommuting algebraic expressions.
6 questions with no upvoted or accepted answers
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how to find derivative of an equation of matrices with element-wise multiplication or division
For an equation like this:
$$ M= \left(\begin{array}{c} A\:x-B \otimes y\end{array}\right) \oslash C $$
where $\otimes$ is an element-wise multiplication and $\oslash$ is an element-wise division.
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Modern way of simplifying non-commutative algebraic expressions in 2022
I have been asking about how to do modern quantum optics calculations in 2022, and one potential solution is to use a package that uses noncommutative algebra.
There are currently very old questions ...
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Modern way to do quantum optics calculations in 2024?
Quantum Optics can often require messy algebraic simplifications of noncommuting operators (usually ladder operators and commutators). I've asked here about how to do it before.
What are some modern ...
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How do I symbolically reduce traces of operators into a sum of squares?
Crossposted on Mathematics SE
How do I use Mathematica (and potentially the package NCAlgebra) to reduce traces of operators into sums of squares?
For example, I know that the expression $\mathrm{Tr}[...
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NCAlgebra and Simplify, FullSimplify or TensorReduce
I want to simplify non-commutative expressions calculated using NCAlgebra with commuting coefficients, such as using identities for complex numbers, e.g. having
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Define a variable to satisfy $x^3 = -x$, then sum to find exponential
I'm wondering if it is possible to tell Mathematica that my non-commuting variable satisfies $x^3 = -x$ such that it can compute $\sum_{n=0}^\infty \frac{(Ax)^n}{n!} = e^{Ax} = \cos A+ x \sin A$ with ...
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