A quantum mechanics question

Thread View: sci.physics

1 messages

[T] Back to Threads [V] Tree View [G] Group Articles

1 total messages Started by Message from the Starship Enterp... Thu, 16 Apr 1992 23:27

#1253

Author: Message from the Starship Enterp...
Date: Thu, 16 Apr 1992 23:27

47 lines
2172 bytes

            +        +
            +        +
   V(x)=OO  + V(x)=0 +  V(x)=OO (infinite potential to the right
            +        +           and left on the well)
            ++++++++++

           x=0      x=a

 Suppose you have a particle (1-D) in an infinite square well ....
assume also that the state of the system is the ground state of the
box, so |Psi> = sqrt (1/a) sin kx. If BOTH walls disolve at t=0,
the probability distributions of energy and momentum can be calculated
from Q(E)=|<En|Psi>|^2 and taking advantage from the fact that the
Hamiltonian and Momentum operators conmute for this particular new
state. All is joy and happines :-)

                
Now, consider the particle in the box problem again. Now at time t=0 
only the left side of the wall vanishes. The energy distribution can
be calculated using the formula above. How do you calculate the momentum
distribution????? - [H,P] =! 0 anymore .... -this is an old homework
problem I never solved ... thanks in advance



            +        
            +        
   V(x)=OO  + V(x)=0             
            +                             
            ++++++++++++++++++++++++++++++++++++

           x=0









  ***************************************************************************
  $^$ "I perceive the Universe as  ^^^^^^   Jose Luis Paredes             $^$
  $^$  a single equation .... and  ^^^^^^   Physicist by choice !!        $^$
  $^$  it's so simple!"            ^^^^^^   University of Houston         $^$
  $^$  Lt. Barkley -Star Trek TNG  ^^^^^^   Jose@crcc.uh.edu              $^$
  ***************************************************************************

Thread Navigation

This is a paginated view of messages in the thread with full content displayed inline.

Messages are displayed in chronological order, with the original post highlighted in green.

Use pagination controls to navigate through all messages in large threads.

Back to All Threads