Search Results

I'm constantly dealing with non-commutative algebras. ** is inbuilt, non-commutative and associative. That's good :-) But it is not distributive. Rats. …

Possible Duplicate: Non-commutative symbolic linear algebra I want to multiply two matrices, for example, A = {{e, f}, {g, h}} B = {{a, b}, {c, d}} Using A.B, Mathematica returns {{a e + … + d g, c f + d h}} I would like to get, however, the following result: {{e a + f c, e b + f d}, {g a + h c, g b + h d}} since, for me, the entries {a,b,c,d,e,f,g,h} are operators, i.e. they are non-commutative …

How can I expand the following equation with non-commutative terms: eq = Sum[k1 (f[i + 1, j] - f[i, j]) ** (f[i + 1, j] - f[i, j]), {i, 0, nx - 2}, {j, 0, ny - 1}] + Sum[k2 (f[i, j + 1] …

Consider 3 non-commutative elements $A,B,C$ and we have the relation $CB=\alpha BC$. …

(\alpha b)$$ where $a$ and $b$ are non-commutative operators, but $\alpha$ is simply a scalar. … How do I tell Mathematica to treat $\alpha$ as a scalar and "pull" it out of the non-commutative product? i.e. such that $$a. …

How to define non-commutative functions in Mathematica? I am using the NCAlgebra package in Mathematica. I am having some trouble with the series expansions of those functions. …

I want to invert a matrix, {{a,b},{c,d}}, where a,b,c,d are elements of a non-commutative field (for example invertible matrices). … Is there a way to specify in Mathematica that a,b,c,d should be treated as elements of a non-commutative field? …

I'm trying to write a little boson algebra engine, with basic useful functions such as non-commutative algebra, normal-ordering and vacuum expectation values. …

:= {{Q1, Q12}, {Q12\[Transpose], Q2}}; P.Q but it returns: {{P1 Q1 + P12 Transpose[Q12], P1 Q12 + P12 Q2}, {Q1 Transpose[P12] + P2 Transpose[Q12], P2 Q2 + Q12 Transpose[P12]}} How can I get a non-commutative …

Suppose my expressions are given as a combinations of non-commutative products, i.e., $2 X**Y**Z + 3 Y**Z**X$, I want to make this as commutative product and get $5 X**Y**Z$. …

I would like to be able to simplify a polynomial in two non commuting variables, the desired result being that in every term one variable occurs to the left of the other variable. … I've tried the non commutative multiplication $**$. It appears that this function is simply formal multiplication. I tried inputting $a**b**b$ but it's not even giving me $ab^2$. (2) …

I'd like to use mathematica to solve systems of linear equations, where the entries are non commutative matrices. I just tried the NC package but it doesn't help so far. … Additionally I'd like to know a way how to type this using matrices of non commuting matrices. …

I'm using strings as symbolic notation for non-commutative linear algebra and need to be able to concatenate without losing ordering and without combining the strings (in order to apply rules I've defined …

Question: How can I correctly implement the Hermitian conjugate operation in Mathematica for non-commutative products like these? … Tags: symbolic-mathematics quantum-mechanics non-commutative pattern-matching …

Is there a way you can set a symbolic function to be non-commutative in NCAlgebra? For example SetCommutative[f[t]] returns CommutativeQ: Tried to set the expression "f[t]" to be commutative". …