Scattering in Finite step potential

In summary, scattering in finite step potential refers to the change in trajectory of a particle when encountering a sharp change in potential energy, with the possibility of reflection or transmission. The scattering amplitude is directly related to the height and width of the potential energy step. There is a distinction between bound and unbound states in scattering, with bound states being reflected and unbound states having the option of transmission or reflection. The energy of the particle affects its probability of being transmitted or reflected at the potential step, with higher energy particles having a higher chance of transmission. Scattering in finite step potential cannot be described by classical mechanics, as it is a quantum phenomenon that takes into account the wave-like nature of particles.
  • #1
Guaicai
8
0
origin page : http://www.physicspages.com/2012/08/08/finite-step-potential-scattering/
No quite understand how the solution
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come from this equation
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  • #2
Solve for B and D in terms of A and simplify.
 
  • #3
If you want to solve for B and D in terms of A, you have a linear system with two equations and two unknowns, e.g., x+y=4, 2x-3y=0, but the constants look complicated.
 

Related to Scattering in Finite step potential

1. What is scattering in finite step potential?

Scattering in finite step potential refers to the phenomenon of a particle encountering a sharp change in potential energy, leading to a change in its trajectory and possible reflection or transmission.

2. How is the scattering amplitude related to the potential energy step?

The scattering amplitude is directly related to the height and width of the potential energy step. A higher potential energy step will result in a larger scattering amplitude, while a wider step will lead to a smaller amplitude.

3. What is the difference between bound and unbound states in scattering in finite step potential?

Bound states refer to particles that are confined within a potential energy well, while unbound states are able to escape the potential barrier. In scattering in finite step potential, bound states are reflected back by the step, while unbound states can either be transmitted or reflected.

4. How does the energy of the particle affect scattering in finite step potential?

The energy of the particle determines its probability of being transmitted or reflected at the potential step. Higher energy particles have a higher probability of being transmitted, while lower energy particles are more likely to be reflected.

5. Can scattering in finite step potential be described by classical mechanics?

No, scattering in finite step potential is a quantum phenomenon and cannot be accurately described by classical mechanics. The wave-like nature of particles must be taken into account to fully understand and predict the behavior of particles encountering a potential energy step.

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