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 π 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 particle’s 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
 Spring '09
 Mucciolo
 mechanics, Mass, odd parity, Applied Nuclear Physics, ODD parity eigenfunction, Broglie wave concept

Click to edit the document details