Quantum Tunneling from Bent Circular Wire

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Homework Help Overview

The problem involves quantum tunneling of an electron through a bent circular pipe, where the geometry and potential are not fully specified. The original poster seeks to determine the probability of the electron escaping the pipe after it has been bent.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants question the adequacy of the problem statement and the assumptions needed to proceed with a solution. There is uncertainty regarding the potential involved and how the bend affects tunneling probability.

Discussion Status

Participants are actively discussing the implications of the problem's brevity and the lack of specific numerical values. Some express skepticism about the ability to derive a meaningful result without additional information.

Contextual Notes

The problem appears to lack sufficient details, such as specific values or a clear definition of the potential, which are necessary for a complete analysis. Participants note that assumptions will be critical to any potential solution.

Ichigo449
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Homework Statement


The electron enters a straight pipe of circular cross section (radius r). The tube is bent at a radius R≫r by the angle α and then is aligned back again. Find the probability that the electron will jump out

Homework Equations


Tunneling probability in WKB approximation.

The Attempt at a Solution


Unsure of what the potential should be and the effect that the bend has.
 
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If that is the full problem statement, it looks odd. You'll have to add many assumptions to get a result.
 
I guess that is a very short version - it gives an idea of the problem, but it doesn't have the actual numbers necessary to solve it. Same with the other two problems.
 

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