For one-dimensional Harmonic oscillators, it is known that à V. = Von-1 and a = Vn+ 1+1 where is a general eigen-wavefun

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For One Dimensional Harmonic Oscillators It Is Known That A V Von 1 And A Vn 1 1 Where Is A General Eigen Wavefun 1 (10.11 KiB) Viewed 48 times

For one-dimensional Harmonic oscillators, it is known that à V. = Von-1 and a = Vn+ 1+1 where is a general eigen-wavefunction satisfying and and at are the lowering and raising operators, respectively 5 pts) Find out [a+,& (5 pts) Evaluate E = (1/2) for an eigenstate 3. (5 pts) Evaluate 5 aa? Un (5 pts) Evaluate (a.) on