Quantum - Potential Barrier

In summary, the conversation discusses the potential barrier problem when Eo>V and the effects of varying the width of the barrier and the values of k1 and k2. However, there is no clear consensus on what k1 and k2 represent. The speaker suggests that the expression for the transmission coefficient can be used to understand the effects of varying these parameters.
  • #1
leila
19
0
Hi there,

Was wondering about the potential barrier problem when Eo>V. I have figured out the expression for the Transmission coeffient (after a lot of algebra) and am now wondering, what happens when I vary the width of the barrier, obviously there is greater transmission when the barrier is narrower but would there be any other effects? Also I am wondering if anyone could suggest what happens when we vary the values of k1 and k2.

Thanks for your help


Leila
 
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  • #2
It would help if you said what k1 and k2 are. These are not universally agreed upon variables.

Also, if you have the expression for the transmission coefficient, can't you read off your equation what would happen if you vary the parameters?
 

1. What is a potential barrier in quantum mechanics?

In quantum mechanics, a potential barrier is a region of space where the potential energy of a particle is higher than its total energy. This creates a barrier that the particle must overcome in order to pass through the region.

2. How does a potential barrier affect the behavior of particles?

A potential barrier can cause particles to behave differently than they would in free space. It can lead to phenomena such as tunneling, where a particle can pass through the barrier even though it does not have enough energy to do so classically.

3. What is the role of potential barriers in quantum tunneling?

Potential barriers play a crucial role in quantum tunneling, which is the phenomenon where a particle can pass through a barrier that it does not have enough energy to overcome classically. The barrier creates a potential well on the other side, allowing the particle to tunnel through and emerge on the other side.

4. Can potential barriers be manipulated in experiments?

Yes, potential barriers can be manipulated in experiments using various techniques such as changing the shape or height of the barrier, or applying external forces. This allows scientists to study the behavior of particles in different barrier configurations and gain a better understanding of quantum mechanics.

5. What are some real-life examples of potential barriers?

Potential barriers are found in various systems in everyday life, such as the energy levels in an atom, the potential energy of an electron in a crystal lattice, and the energy levels of a particle in a particle accelerator. They also play a crucial role in the functioning of electronic devices such as transistors and diodes.

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