(c) Let the Hilbert space be H = C³ (which could be used to describe a three-level atom). Let us consider two operators -2 2 00 Â = -3 0 0 1 0 1 0 where a is a real constant. Calculate the value of a such that A and B have a common set of eigenvectors.
(c) Let the Hilbert space be H = C³ (which could be used to describe a three-level atom). Let us consider two operators -2 2 00 Â = -3 0 0 1 0 1 0 where a is a real constant. Calculate the value of a such that A and B have a common set of eigenvectors.
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Transcribed Image Text:(c) Let the Hilbert space be H = C³ (which could be used to describe a three-level atom). Let
us consider two operators
)
-2
2 00
-3 0
0 0 1
1
where a is a real constant. Calculate the value of a such that A and B have a common set
of eigenvectors.
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