Decay length of Half Square Well

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SUMMARY

The decay length outside a half square well, where one wall is at infinite potential and the other at a finite potential, is a critical concept in quantum mechanics. The decay length is hypothesized to be twice that of a finite square well. The discussion emphasizes the importance of solving Schrödinger's equation, which is separable and manageable for the half-infinite square well, to derive precise values and insights regarding the decay length.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with Schrödinger's equation
  • Knowledge of potential wells in quantum physics
  • Basic mathematical skills for solving differential equations
NEXT STEPS
  • Study the solutions to Schrödinger's equation for half-infinite square wells
  • Research the properties of decay lengths in quantum mechanics
  • Explore the differences between finite and infinite potential wells
  • Learn about the implications of potential barriers in quantum tunneling
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Students and professionals in physics, particularly those specializing in quantum mechanics, as well as researchers interested in potential wells and their applications in quantum theory.

MitsuZero
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If one wall is at infinite potential, and the other at some finite potential, what is the decay length outside of the well?

I was thinking it might be twice that for a finite square well.

Also can anyone provide some information regarding these wells? Google is (surprisingly) devoid of any information on these.

Thanks a lot.
 
Physics news on Phys.org
Schrödinger's equation is separable and not too difficult to solve for the half-infinite square well. Why not just work out the math and answer your questions yourself?
 

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