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(Solved): 16. A particle in a spherically symmetrical potential is known to be in an eigenstate of L2 and Lz ...



16. A particle in a spherically symmetrical potential is known to be in an eigenstate of \( \mathbf{L}^{2} \) and \( L_{z} \)
16. A particle in a spherically symmetrical potential is known to be in an eigenstate of and with eigenvalues and , respectively. Prove that the expectation values between states satisfy


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the eigenvalues of   and   is given i.e.   
also to calculate eigenvalues of   , there will be a requirement of a ladder operator i.e. given as



and there eigenvalues are


similarly,



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