Physics Help Forum

Physics Help Forum Feed Site Feed

  #1  
Old 02-16-2010, 03:02 PM
Junior Member
 
Join Date: Feb 2010
Posts: 4
Thanks: 0
Thanked 0 Times in 0 Posts
sbrady951 is on a distinguished road
Default shrodinger equation and potential wells

the allowed energies En of a particle of mass m in an infinite potential well of width L are predicted by the schrodinger equation to be


En= ((n^2)(h^2))/8mL^2

a) Show how this result also follows from applying the de broglie relation for the allowed standing waves on a string of length L (assume the ends of the string are firmly fixed)

b) make an energy level diagram showing the first three energy levels of an infinite potential well, and another sketch showing their associated probability density functions.

c) If an electron is in the n=3 state of an infinite potential energy well of width 10nm, how much energy must it be given to move it into the n=5 state?
Reply With Quote
Advertisement
 
  #2  
Old 04-18-2010, 11:28 PM
Pmb Pmb is offline
PHF Helper
 
Join Date: Apr 2009
Location: Boston's North Shore
Posts: 369
Thanks: 11
Thanked 153 Times in 110 Posts
Pmb has a spectacular aura aboutPmb has a spectacular aura about
Default

Quote:
Originally Posted by sbrady951 View Post
the allowed energies En of a particle of mass m in an infinite potential well of width L are predicted by the schrodinger equation to be


En= ((n^2)(h^2))/8mL^2

a) Show how this result also follows from applying the de broglie relation for the allowed standing waves on a string of length L (assume the ends of the string are firmly fixed)

b) make an energy level diagram showing the first three energy levels of an infinite potential well, and another sketch showing their associated probability density functions.

c) If an electron is in the n=3 state of an infinite potential energy well of width 10nm, how much energy must it be given to move it into the n=5 state?
[/quote]
The forum rules required that must first make an attempt at solving this problem. Then post that work and show us where you think it went wrong.
Reply With Quote
Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are Off
Refbacks are Off
Forum Jump


All times are GMT -7. The time now is 09:29 PM.


Powered by vBulletin® Version 3.7.3
Copyright ©2000 - 2010, Jelsoft Enterprises Ltd.
SEO by vBSEO 3.2.0 ©2008, Crawlability, Inc.
©2009 Physics Help Forum

Physics Help Forum is a community of physics forums with an emphasis on physics help in all levels of physics.
Register to post your physics questions on the message board.