This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: mentum. (b) What are the normalized eigenfunctions for this system? What is the degeneracy of the n th energy level? 5. (a) Find h r i and h r 2 i for an electron in the ground state of hydrogen. Express your answers in terms of the Bohr radius. (b) Find h x i and h x 2 i for an electron in the ground state of hydrogen. (c) Find h x 2 i in the state n = 2, l = 1, m = 1. 6. Suppose we perturb the inﬁnite cubical potential well of side a by putting a delta function “bump” at the point ( a/ 4 ,a/ 2 , 3 a/ 4): H = a 3 V δ ( xa/ 4) δ ( ya/ 2) δ ( z3 a/ 4) . Find the energy (up tp secondorder corrections) and eigenfunction (up to ﬁrstorder corrections) of the ground state and the (triply degenerate) ﬁrst excited states. —— End ——...
View
Full Document
 Spring '11
 CFLO
 mechanics, ground state, Simple Harmonic Oscillator, rigid rod, massless rigid rod, tp secondorder corrections

Click to edit the document details