Need full detailed answer for all questions as well as detailed steps. Need to understand the concept and question. Harmonic OscillatorA particle of mass m in a one-dimensional harmonic oscillator isinitially in a state given byV(0)) = A (1) – |2))where |n) are the time-independent eigenstates of the harmonicoscillator with corresponding energy eigenvalues En = ħw(n+ }).(a) Find the normalization constant A.(b) If one were to measure the energy of the particle in suchstate, what values would one get and what would be theirassociated probabilities?(c) Evaluate the time-dependence of the rms of the positionoperator:Ax = V(x²(t)) – (x)²

The quantum mechanics is a field of physics which deals with very small particles. It was started at…

A particle of mass m in a one-dimensional harmonic oscillator is initially in a state given by |V(0)) = A (1) - |2)) where |n) are the time-independent eigenstates of the harmonic 1 oscillator with corresponding energy eigenvalues En = ħw(n+ } (a) Find the normalization constant A. (b) If one were to measure the energy of the particle in such state, what values would one get and what would be their associated probabilities? (c) Evaluate the time-dependence of the rms of the position operator:Ax = V(x²(t)) – (x)² |

A particle of mass m in a one-dimensional harmonic oscillator is initially in a state given by |V(0)) = A (1) - |2)) where |n) are the time-independent eigenstates of the harmonic 1 oscillator with corresponding energy eigenvalues En = ħw(n+ } (a) Find the normalization constant A. (b) If one were to measure the energy of the particle in such state, what values would one get and what would be their associated probabilities? (c) Evaluate the time-dependence of the rms of the position operator:Ax = V(x²(t)) – (x)² |