# 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

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Exercice:

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

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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.