Questions and Answers of Quantum Mechanics A Graduate Course

Calculate \(\left\langle x^{m}\rightangle_{n}\) and \(\left\langle p^{m}\rightangle_{n}\) for a particle in a box (an infinitely deep square well) for arbitrary integers \(n, m>0\). In which limits
Consider a periodic cosinusoidal potential, V(x) = Vo cos(ax). (7.95)
For the finite square well potential, prove the formula for the transmission coefficient (7.83), calculate \(R\), and prove that \(|R|^{2}+T=1\).Equation 7.83:- T = |S|2 K3 = 42 2(+)2 cos KL + (2 +
Consider an asymmetric potential barrier, withCalculate the tunneling probability \(T\) for energy \(U_{1}U_{0}\). 0, x < 0 U(x) = U> U, 0 < x 0, x > L. (7.96)

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