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3
questions
6
votes
1
answer
210
views
What is the Wigner representation of $\left(\hat{x}^2+\hat{p}^2\right)^n$?
I would like to calculate the Wigner representation of the operators $\left(\hat{x}^2+\hat{p}^2\right)^3$ and $\left(\hat{x}^2+\hat{p}^2\right)^4$. I know at least two ways to do it, but both rely on ...
5
votes
1
answer
1k
views
Bopp operators and Wigner-Weyl representation
I am learning about the Wigner-Weyl transformations to move a $c$-number Lindblad operator $A(x,p)$ back into operator form. As far as I know, to move back and forth normally requires a four variable ...
4
votes
2
answers
1k
views
Examples of Weyl transforms of nontrivial operators
I've been able to find examples of Weyl transforms of operators like $\hat{x}$,$\hat{p}$, and $\hat{1}$, but not anything more complicated. Are there derivations of the Weyl transforms of more ...