# Questions tagged [operators]

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

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### How may I define e.g. Tilde[x,y] to have certain properties?

I would like to define, e.g., the Tilde[x,y] operator to have certain properties, and then investigate whether certain expressions involving that operator are True or not. For example, if I specify ...
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### Lowering operator for spherical harmonics [duplicate]

I need to be able to generate all of the $l=2$ spherical harmonics using the lowering operator. The specific question is listed below. Any assistance would be much appreciated! Thanksenter image ...
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### Partial trace and Partial Transposition of a matrix easily? [closed]

Could someone help me to understand as to how to compute the partial trace and partial-transposition of an arbitrary matrix? I mean, is there any code to carry out these operations in Mathematica? ...
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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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### How to program Mathematica to do the differential operator calculation

I want to create a surface Laplacian under the spheroidal coordinates, Now, I already have the surface gradient defined, but I don't know how to find the Laplacian. Since the surface gradient is too ...
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### A list of operators in the For cycle

I'm pretty sure that analogous questions have been asked here a zillion of times, but... I think it is pretty straightforward from the code what I expect it to give: ...
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### Defining a complex partial differential operator

I tried to define a partial differential operator using this code ...
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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 ...
326 views

### Non commutative products and scalars

Say I have an expression such as $$a.(\alpha b)$$ 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" ...
I would like to define a new differential operator that is the tangent gradient for a curve $\Sigma$. This is defined as $$\nabla_\Sigma=\mathbf{P}\nabla$$ where $\mathbf{P}$ is the projection ...