This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: (c) Give the corresponding state function at an arbitrary later time (x, t > 0); you can give the result in integral form. ECE 306 Homework Set #4 Solutions Spring 2005 1. Consider a particle of mass m in a potential field V(x) (a) On the basis of Heisenbergs equation of motion (2.49) and the commutation relation (2.11a): m p x x V m p i x dt d x x = + = ), ( 2 2 h (b) On the same basis, the time variation of the expectation value of the momentum is given by: x x x x F dx x dV p x V m p i p dt d = = + = ) ( ), ( 2 2 h , which is known as Ehrenfests theorem. 2. (a) o electron deBroglie A eV units E mE h ) : ( 3 . 12 2 ) ( = = o proton deBroglie A eV units E ) : ( 3 . ) ( = (b) o proton deBroglie neutron deBroglie A eV units E ) : ( 3 . ) ( ) ( = ) : ( ) 12 6 . 1 ( ) ( eV units E e hc photon deBroglie =...
View
Full
Document
 Spring '05
 TANG

Click to edit the document details