Simple Harmonic Oscillator (SHO) is one of the case models that is often discussed in quantum physics In classical physics SHO has the following total energy In this regard A. Explain to you that the Hamiltonian operator of SHO has the following form I3D

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Please answer the 3 subparts A,B,C with the step of solution, because i know the tutor can answer max 3 subparts . Thank u. ( Need In 60-120 minutes ) 

Simple Harmonic Oscillator (SHO) is one of the case models that is
often discussed in quantum physics
In classical physics SHO has the following total energy
1
E =
1
In this regard
A. Explain to you that the Hamiltonian operator of SHO has the
following form
=mas
1
+mw
2m 2
B. Perform operator manipulation so that the operator can
expressed in the ladder operator, with the following form
Ĥ = hwtâ_â, +
In this case
1
â_ =
â =
+ i
And...
X, = Vh/mw
C. Explain to you why the operator â, is called the
lowering/annihilation/step down operator!
Transcribed Image Text:Simple Harmonic Oscillator (SHO) is one of the case models that is often discussed in quantum physics In classical physics SHO has the following total energy 1 E = 1 In this regard A. Explain to you that the Hamiltonian operator of SHO has the following form =mas 1 +mw 2m 2 B. Perform operator manipulation so that the operator can expressed in the ladder operator, with the following form Ĥ = hwtâ_â, + In this case 1 â_ = â = + i And... X, = Vh/mw C. Explain to you why the operator â, is called the lowering/annihilation/step down operator!
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