| Animation 1: SHO + 10Vexp(−10x2) |
| Animation 2: V0x4 − 10Vax2 |
| Animation 3: −Vexp(−αx2) |
| Animation 4: eE |
Please wait for the animation to completely load.
In this Exploration there are four spatially-varying wells to consider:
Double harmonic oscillator well: a harmonic oscillator with Vadded = 10Vaexp(−10x2)
Double anharmonic oscillator well: an anharmonic oscillator, V(x) = V0x4, with Vadded = −10Vax2
Gaussian well: V = −Vexp(−αx2)
Finite well with an applied electric field: Vadded = eE
For each well, you may change parameters associated with the well's shape. To see the other bound states, simply click-drag in the energy level diagram on the left to select a level. The selected level will turn red. As you do so, answer the following question for each well: How does changing the variable parameter(s) change the wave functions and the energy levels?