Introduction to Mathematical Physics/Quantum mechanics/Exercises

Exercice:

Study the binding between position operator $R_{x}$ and momentum operator $P_{x}$ with the infinitesimal generator of the translation group (see

([#References

Exercice:

Study the connection between kinetic moment operator $L$ and the infinitesimal generator of the rotations group (see

([#References

Exercice:

Study the linear response of a classical oscillator whose equation is:

${\frac {d^{2}x}{dt^{2}}}+\gamma {\frac {dx}{dt}}+\omega _{0}^{2}x=f(t)$

where $f(t)$ is the excitation. Compare with the results obtained at section secreplinmq.