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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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67 views

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 ...
87 views

117 views

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 ...
68 views

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 ...
51 views

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 ...
60 views

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, ...
69 views

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: $\frac{D}{e^D-1} \int_0^t f(t)dt |_{t=\omega}$
135 views

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: ...
238 views

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 ...
130 views

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 \begin{equation} \left( \begin{array}{cc} a & b \\ c & d \\ \end{array} \right), \end{equation} with the restriction ...