All Questions
Tagged with wigner-transform operators
21
questions
1
vote
1
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147
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Wigner image of the product of two operators
If we know the Wigner image of $\hat{A}$ and $\hat{B}$, how do we calculate the Wigner transform of $\hat{A}\hat{B}$?
- 121
1
vote
2
answers
172
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Basic confusion with quantum mechanical operators
Given a classical observable, $a(x,p),$ Weyl quantization gives the correspondent QM observable as:
$$\langle x | \hat{A} | \phi \rangle=\hbar^{-3}\int \int a \left(\frac{x+y}{2},p\right)\phi(y) e^{2\...
- 1,262
1
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4
answers
1k
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Definition of symmetrically ordered operator for multi-mode case?
As I know, Wigner function is useful for evaluating the expectation value of an operator. But first you have to write it in a symmetrically ordered form. For example:
$$a^\dagger a = \frac{a^\dagger ...
- 121
5
votes
1
answer
1k
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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 ...
- 113
4
votes
1
answer
365
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How can I take the Wigner transform of an operator with an absolute value?
I want to be able to find the Wigner transforms of operators of the form $\Theta(\hat{O})$, where $\Theta$ is the Heaviside function and $\hat{O}$ in general depends on both $x$ and $p$. For the ...
- 5,725
4
votes
2
answers
1k
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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 ...
- 5,725