This preview shows page 1. Sign up to view the full content.
Unformatted text preview: x 2 /a 2 ) 2 dx = A 2 Z  ( ex 2 /a 2 ) 2 dx = A 2 a r 2 = A 2 r a 2 2 (2) and we must then have A 2 = r 2 a 2 , so that A = h 2 a 2 i 1 / 4 . (3) b) The specied interval (from0.1 nm to +0.1 nm) is much smaller than the range over which the exponential varies appreciably (which is on the order of a = 1.5 nm). Therefore, the wavefunction may be taken to be constant across that small interval (equal to its value at x = 0) and removed from the integral. We then have Probability = Z +0 . 1 nm. 1 nm  ( x )  2 dx  (0)  2 Z +0 . 1 nm. 1 nm dx = A 2 2(0 . 1 nm) = r 2 a 2 2(0 . 1 nm) = r 2 1 . 5 2 2(0 . 1) = 0 . 1064 . (4) 1...
View
Full
Document
This note was uploaded on 03/07/2011 for the course PHYS 274 taught by Professor Ericszarmes during the Spring '11 term at University of Hawaii, Manoa.
 Spring '11
 EricSzarmes
 Physics, Work

Click to edit the document details