Conservation and Continuity

  
Figure 1: Infinite Square Well Potential

At t=0 the quantum state of a particle of mass m in an ``infinite square well'' of width L (V(x)=0 for 0 ;SPMlt; x ;SPMlt; L and for x;SPMlt;0 or L;SPMlt;x; See Figure 1.) is in a state described by

Assignment:

• Solution of the TDSE
• Verification of TDSE
• Probability density
• Net flow of probability
• Probability Current
• Prove that momentum is conserved in quantum mechanics