Physics Problems 297

Physics Problems 297 - Chapt. 39 Photons and Matter Waves...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapt. 39 Photons and Matter Waves 293 for the stationary states ψ . b) For V = 0 (i.e., the free particle system), verify that ψ = e ikx are the unnormalized stationary states, where k = ± r 2 mE h 2 . Why can’t these states be normalized? c) The in±nite square well has V = b 0 , for 0 x a ; , for x < 0 and x > a . Verify that ψ = R 2 a sin( kx ) are the normalized solutions with boundary conditions ψ (0) = ψ ( a ) = 0. Also show that k = a and E = h 2 2 m p π a P 2 n 2 . 039 qfull 02000 3 5 0 tough thinking: complete set of states Extra keywords: A good challenge question. 5. It has been mathematically shown that the set of stationary state wave functions for a system constitute a COMPLETE SET : i.e., any function that obeys the same boundary conditions as the stationary state wave functions can be expanded as a linear combination of those stationary
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online