This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: t . What is the probability that a measurement of the energy of the system f nds: a) E = E 1 , b) E = E 2 , and c) E = E 3 , where the eigenstate energies are E n = h 2 2 2 mL 2 n 2 ? 4. For a quantum particle moving in a 3D potential, V ( x ) = V ( x, y, z ), which directions, if any, of the particles momentum are conserved if the potential takes the following form: (a) V = ax + by 2 + cz 3 , where the constants, a , b , and c are all positive. (b) V = a arctan( x/L ) (c) V = b exp( y 2 /d 2 ) 5. For which systems characterized by the potentials listed below, do the energy and parity observables have common eigenfunctions? (a) V = e 2 /r ; where r = x 2 + y 2 + z 2 . (b) V = ax + by 2 + cz 3 (c) V = axy 6. Libo f , problems 9.3, 9.25(a), 9.30, 9.34, 9.35....
View
Full
Document
This note was uploaded on 11/09/2009 for the course PHY 4604 taught by Professor Mucciolo during the Spring '09 term at University of Central Florida.
 Spring '09
 Mucciolo
 mechanics, Mass

Click to edit the document details