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Suppose that |) is an eigenstate for both A and B. Show that v) is an eigenstate for [A, B] with eigenvalue 0, regardless of whether A and B commute. What does the AAAB uncertainty relation look for this state?

Suppose that |) is an eigenstate for both A and B. Show that v) is an eigenstate for [A, B] with eigenvalue 0, regardless of whether A and B commute. What does the AAAB uncertainty relation look for this state?

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for any r ER, with equality when r= (L). 5. Suppose that |u) is an eigenstate for both A and B. Show that ) is an eigenstate for [A, B] with eigenvalue 0, regardless of whether A and B commute. What does the AAAB uncertainty relation look for this state?
Transcribed Image Text:for any r ER, with equality when r= (L). 5. Suppose that |u) is an eigenstate for both A and B. Show that ) is an eigenstate for [A, B] with eigenvalue 0, regardless of whether A and B commute. What does the AAAB uncertainty relation look for this state?
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