All Questions
Tagged with wigner-transform operators
5
questions
4
votes
2
answers
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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
2
votes
2
answers
269
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General quantum operator
Is it true that any operator can be expressed as
(e.g. in one dimension)
$$\hat{A}=\sum_{n=0, \, m=0}^{\infty}c_{n,m}\hat{x}^n\hat{p}^m \, ?$$
It seems true because any classical observable is a ...
- 33
1
vote
1
answer
192
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Wigner-Weyl transform for a function of coordinates only
I am reading this paper by Tatarskii, which serves as an introduction to the Wigner representation of quantum mechanics.
There is a step in the paper involving the Weyl transform that does not seem ...
- 1,242
1
vote
4
answers
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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
0
votes
1
answer
440
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Wigner-Weyl ordering in exponential
If the particle number is $\hat{a}^\dagger\hat{a}\leftrightarrow|\alpha_w|^2-1/2 $, it can be mapped on the Wigner fields by assuming symmetric ordering:$|\alpha_w|^2\leftrightarrow\hat{a}^\dagger\hat{...
- 1,620