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Feb 21, 2018 at 17:55 history edited J. Murray CC BY-SA 3.0
added 71 characters in body
S Feb 20, 2018 at 20:58 history suggested secavara CC BY-SA 3.0
corrected a typo
Feb 20, 2018 at 20:42 review Suggested edits
S Feb 20, 2018 at 20:58
Feb 20, 2018 at 20:35 comment added J. Murray @StarBucK I've added to my answer to justify the exchange of the limit and the adjoint operation.
Feb 20, 2018 at 20:34 history edited J. Murray CC BY-SA 3.0
Added section RE OP's comments
Feb 20, 2018 at 20:14 comment added J. Murray That's a reasonable question, and the answer depends on how deeply you want to go. The operator norm of some operator $A$ is equal to the operator norm of $A^\dagger$ - you can use this fact to demonstrate that if you have a sequence of operators $\{a_n\}$ which converges to $A$, then the sequence $\{a_n^\dagger\}$ converges to $A^\dagger$, and take the limit that way.
Feb 20, 2018 at 20:12 history edited J. Murray CC BY-SA 3.0
deleted 15 characters in body
Feb 20, 2018 at 19:55 comment added anon I tried to do this but here you use the fact you can intervet the limit and the dagger. How do we know we can do this ?
Feb 20, 2018 at 19:31 history undeleted J. Murray
Feb 20, 2018 at 19:31 history deleted J. Murray via Vote
Feb 20, 2018 at 19:30 history answered J. Murray CC BY-SA 3.0