PURPOSE: To observe and understand potential energy in Quantum Mechanics and verifying the probability of finding particles.
1. The range of motion is between -5 and 5 cm.
2. The particle does not have enough kinetic energy to pass through that boundary.
3. There is a higher probability of finding the particle from 05 to 0 cm because it has a higher potential energy on that side.
4. The range of motion increases when the energy is doubled.
5. The graph is an inverted parabola.
6. The particles will be most likely found at the ends where the boundaries are located.
1.
E
= n2 h2 / 8 m L2.
E = (1)2 (6.626 x 10-34 J s)2 / 8
(1.673 x 10-27 kg) (10 x 10-15 m)2
E = 3.3 x 10-13 J
E = 2.1 MeV
2. 4(2.1eV) = 8.4 MeV for infinite well but not for finite well
3. In the infinite well it is has
larger energy in its first excited state because it has a shorter wavelength
than in the finite well
When the potential energy is
decreased, the total energy of the n = 3 state decreases as well because the
U(x) function decreases the area the particle can be in and the wavelength
decreases.
The penetration depth decreases as the mass increases. This
is because the mass is becoming measurable and cannot travel in to the
forbidden region.
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