Introduction to Mathematical Physics/Quantum mechanics/Exercises

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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.