Group velocity in infinite square well

[8Apeiron8]

ello everybody,

how can I calculate the group velocity of a wave package in an infinite square well?

I know only how it can be calculated with a free particle, the derivation of the dispersion relation at the expectation value of the moment.

But in the well, there are only discrete values of k allowed.

It would help a lot if someone could send me a link or give a little help,

thanks

Apeiron

 

[Naty1]

Does this help...

The group velocity vg is defined by the equation:

http://en.wikipedia.org/wiki/Group_velocity

and the wavefunction is given here:


http://en.wikipedia.org/wiki/Infinite_square_well#Wavefunctions

 

[DrDu]

An infinite well only allows for standing waves solutions for which it does not make sense to define group velocity.

 

[Naty1]

Dr Du...
Standing waves!...yes, I wondered about that before I posted and figured it was
'too simple'...actually I also figured standing waves COULD support a group velocity
but having never studied that, dismissed the idea...