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21: Using the commutators [H, a]=-hwa & [H,at] = ha at show that alu) is an eigenvector of H with eigenvalue En- tie and that a tfu) is an eigenvector of H with eigenval A En + hw . Discuss the meaning of your results.

21: Using the commutators [H, a]=-hwa & [H,at] = ha at show that alu) is an eigenvector of H with eigenvalue En- tie and that a tfu) is an eigenvector of H with eigenval A En + hw . Discuss the meaning of your results.

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9):Using the commutators [H, â]= - ha a x CH,at) = hại ct show that â ln> is an eigonvedor of Hwith eiyon volne En- thow aund that a tfu> is am eigenvedor of H with eigenval En + hw. Discus the meaniny of your results
Transcribed Image Text:9):Using the commutators [H, â]= - ha a x CH,at) = hại ct show that â ln> is an eigonvedor of Hwith eiyon volne En- thow aund that a tfu> is am eigenvedor of H with eigenval En + hw. Discus the meaniny of your results
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