+ For one-dimensional Harmonic oscillators, it is known that â _ Un = Vnun-1 and â+ = Vn + 14n+1 where Um is a general e

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+ For one-dimensional Harmonic oscillators, it is known that â _ Un = Vnun-1 and â+ = Vn + 14n+1 where Um is a general e

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For One Dimensional Harmonic Oscillators It Is Known That A Un Vnun 1 And A Vn 14n 1 Where Um Is A General E 1
For One Dimensional Harmonic Oscillators It Is Known That A Un Vnun 1 And A Vn 14n 1 Where Um Is A General E 1 (19.14 KiB) Viewed 44 times
+ For one-dimensional Harmonic oscillators, it is known that â _ Un = Vnun-1 and â+ = Vn + 14n+1 where Um is a general eigen- wavefunction satisfying (Un|un) = 1, and â _and â + are the lowering and raising operators, respectively. 1. (5 pts) Find out ſa +, â] 2. (5 pts) Evaluate E = (†12) for an eigenstate | Un). 3. (5 pts) Evaluate a? a? Un 4. (5 pts) Evaluate (âtà_) Un
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