Sunday, January 18, 2015

quantum mechanics - Show that Propagator satisfies Schrödinger equation


I want to show that K=K(x,x,tt)=βexp[iEβ(tt)] satisfies the Schrödinger equation H|ψ=it|ψ with respect to x and t, where the β's are the Eigenstates of the Hamiltonian and satisfy |ββ|=1. So I started calculating and got itK=...=x|exp[iEβ(tt)]|x. But here I am stuck since I am not that familiar with QM and bra-ket notation/relations. What is the next step or which fact do I have to use to show the claim?




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classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

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