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# Questions tagged [operators]

Questions about using or composing operators--functional mappings from one state or vector space to another.

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### Creating the Nabla operator (also known as Del operator) as an operator

How can I define the nabla operator (also known as Del operator) as a an operator, acting on everything to the right of the operator! Also taking \[Del]^2 would ...
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### Superposition of the differential operators

My problem can be easily solved without Mathematica, however, I am curious how to do it in Mathematica. Moreover, I can be stuck with a similar, but more cumbersome problems in the future. Following ...
165 views

### Raising, lowering and number operators for Dirac notation

Starting from this very interesting post Defining quantum-mechanical Bra and Ket operations, i would like to implement raising, lowering and number operators, taking into account that they might be ...
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### Single argument operator form?

I've heard the explanation that functions like StringDrop[] are varargs and so that is why they do not have an operator form. But when you are only using the ...
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### odd matrix operation [closed]

This is for the case of a 10 x 10 matrix. I have the matrix ...
156 views

### A function which maps $(ax + by)(cx + dy) \mapsto (a \partial_x + b \partial_y) (c \partial_x + d \partial_y)$

I am new to Mathematica and, as the title says, looking for a way of mapping (for example) the polynomial (ax + by)(cx + dy) \mapsto \left(a \frac{\partial}{\partial x} + b \frac{\partial}{\partial ...
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### Symbollic integration and differentiation of operated functions

This question is a continuation of this one. I used the answer provided in the previous question to write this code ...
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### Defining the Distributive Depth of an Operator

I am working on defining the relations between Bras and Kets in Mathematica, and I am using the CircleDot operator to represent multiplication. I seem to have some trouble defining how operations on ...
115 views

### Custom opaque operator with custom axioms?

Is there any way to define a custom opaque operator/function in Mathematica that satisfies custom axioms, so that the Mathematica engine can perform simplifications using those axioms? For example, ...
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### How can I realize operator $\frac{D}{e^D-1}$ in Mathematica?

Especially if it is applied to an integral of a function. So, I need for a given function f[t] the following: $\frac{D}{e^D-1} \int_0^t f(t)dt |_{t=\omega}$
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### How to define “typed” objects and their operator specializations?

I've defined a primitive sort of type system where my objects are defined as lists with an associated identifier: ...
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### Defining a del operator [duplicate]

I understand the Grad function is a mean to taking the gradient of an arbitrary function. However, I'd like to define the Del ...
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### Problem with Distribute and Composition

I'm having trouble with the following. When I try to expand an expression like Through[Distribute[g@*(f@*g + g@*f), Plus]@x] I get what I would expect. That is, ...
162 views

### How make D[f,x] treat OverBar[x] as a constant

I have an expression of the form f = a*x +OverBar[x], where OverBar[x] is just a name, it has not much to do with the variable x. I want ...
### Construct a univariate function pertaining to the space of $2 \times 2$ real matrices [closed]
Consider the space of uniformly distributed $2 \times 2$ real matrices $$\left( \begin{array}{cc} a & b \\ c & d \\ \end{array} \right),$$ with the restriction ...