Find the integral.

Time Evolution in an Infinite Square Well

n1 =       n2 =    
Start =              End =
 

Description

The superposition shown---both Yn1n2 and Yn1n2*Yn1n2---is an equal mix of the two states n1 and n2 for the infinite square well, Yn1n2(x,t)=(1/2)-1/2 [fn1 (x,t) + fn2 (x,t)].  The wave function evolves with time according to the TDSE.  You may change the state by choosing an n1 and n2.  Time is shown in units of the revival time for the ground state wave function of a particle in an infinite square well.  In other words it is the time for the wave function to undergo a phase change of 2p

References

D.F. Styer, "Quantum Revivals Versus Classical Periodicity in the Infinite Square Well," Am. J. Phys. 69, 56-62 (2001).

Credits

Script by Mario Belloni.
Questions by Mario Belloni.
Java applets by Wolfgang Christian.