Experiment 12

Purpose: the purpose of this lab is to learn qantum mechanics the particle in a box

1. the longest wavelengh is 2L

2. the longest wavelengh is h/2L

3. En = pn^2/2m = n^2pai^2h^2/2mL^2, when n = 1, is ground energy

4. if the L increasing, the ground energy will decrease.

5. as the size of the box is increased, the ground state energy decreass and the allowed energy levels become closer together. if you could increase the size of the box to a macroscopic size, the ground state energy would be etremely close to zero and the allowed energies would be extremely close to zero and the allowed energies ould be extremely close to continuous. thus, in a macroscopic box, you can be at rest and have any value for your energy.

6. L is very large, energy decrease.

7. ground state

8. it does not depend on the mass of the particle, depend on the size of the box.

9. yes, true.

10. yes.