Particle in a well potential/energy continuity

[Sheldon Cooper]

Hello again,
Am facing a difficulty, the question is that ,
Is energy and momentum conserved for a particle in an infinite square well, at the boundary i.e, at x=a, where the potential suffers an infinite discontinuity??
V=0 for -a<=x<=a
V=infinite else-where
Thanks in advance

 

[BvU]

Yes it is. The particle can't penetrate an infinitely high potential barrier, so it completely reflects there. (provided this isn't classical mechanics with an inelastic collision!)

 

[BvU]

Did I forget the ?

welcome to PF !