Assume the operators Ä and B commute with each other, show that c) The eigenvalues of B are given by (A;|B|A;)
Assume the operators Ä and B commute with each other, show that c) The eigenvalues of B are given by (A;|B|A;)
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![Assume the operators Ä and B commute with each other, show that
c) The eigenvalues of B are given by (A;|B|A;)
Consider that:
• la) is an arbitrary ket from the vector space V
• operators Ä and B are linear operators acting on vectors from V
• the set of all eigenvectors of  is given by |A1), A2), ... |AN), and form an orthonormal basis
A¡j and Bij are matrix elements of the matrix representations of the operators A and B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0f613a8-c637-4cd4-8c4f-0ca6e966832d%2Ff7bdd87d-abac-4b2c-bfba-43a688700c1f%2Fhjwg10m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume the operators Ä and B commute with each other, show that
c) The eigenvalues of B are given by (A;|B|A;)
Consider that:
• la) is an arbitrary ket from the vector space V
• operators Ä and B are linear operators acting on vectors from V
• the set of all eigenvectors of  is given by |A1), A2), ... |AN), and form an orthonormal basis
A¡j and Bij are matrix elements of the matrix representations of the operators A and B
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