A particle of mass u is in a potential cylindrical well: so pa V(2) p> a (a) Use symmetry arguments to establish that bo
Posted: Fri Apr 29, 2022 11:42 am
A particle of mass u is in a potential cylindrical well: so pa V(2) p> a (a) Use symmetry arguments to establish that both P, and Lz , the z-axis compo- nents of linear momentum and angular momentum, respectively, commute with H. (b) Use the fact that H, Pz and L, have eigenstates in common to express the Hamil- tonian eigenfunctions in terms of the position eigenfunctions of P, and the eigenfunctions of Lz. (c) Write the radial equation. Determine the eigenenergies and eigenfunctions for this potential.