The harmonic oscillator (with potential V(x) = 0.5 k x) was perturbed so that the force...

 

Transcribed Image Text:

The harmonic oscillator (with potential V(x) = 0.5 k x) was perturbed so that the force constant increases from k to (1 + e)k , where e is a positive fraction. The first order perturbation theory was used to calculate the energy of perturbed system. The ratio of energies (E/E) and ratio of frequencies (v'v) after and before the perturbation are, respectively [2+2 marks] Choose the best option(s) v'/v = V1+€ E' /E = V1+ € E' /E = V1+€/2 %3D v' /v = 1+ €/2 %3D E' /E = 1+ €/2 %3D v'/v = /1+ €/2 The harmonic oscillator (with potential V(x) = 0.5 k x) was perturbed so that the force constant increases from k to (1 + e)k , where e is a positive fraction. The first order perturbation theory was used to calculate the energy of perturbed system. The ratio of energies (E/E) and ratio of frequencies (v'v) after and before the perturbation are, respectively [2+2 marks] Choose the best option(s) v'/v = V1+€ E' /E = V1+ € E' /E = V1+€/2 %3D v' /v = 1+ €/2 %3D E' /E = 1+ €/2 %3D v'/v = /1+ €/2