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Results tagged with research-level
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user 25950
The research-level tag applies to questions that arise in graduate and post-secondary work. These questions often require domain-specific knowledge and could not be answered from a general source or may be beyond the level typically covered by Wikipedia and other popular sources. Research-level questions should not require new or groundbreaking research and results to answer.
1
vote
An entropy of the Wigner function
Among other things, the entropy discussed by Białynicki-Birula and Mycielski seems to be what Wehrl might refer to as classical entropy. Considering this question further, I have found two possible ca …
- 31
2
votes
An entropy of the Wigner function
For the second candidate, I assume that the Wigner distribution $ W(q,p) $ is smooth and continuous. This assumption was implicitly assumed with the first candidate entropy.
Given the property $ \lve …
- 31
0
votes
An entropy of the Wigner function
Regarding the first candidate I proposed, $\lvert \langle q \vert \hat \rho \rvert p \rangle \rvert^2$ has the properties
$$ \int \lvert \langle q \vert \hat \rho \rvert p \rangle \rvert^2 dp = \lang …