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- Homework Statement:
- How do I compare energy values between an infinite and semi-finite potential well?

- Relevant Equations:
- E=h^2k^2/2m

Hello folks,

A bit stumped with the following question:

Consider a potential well with an infinite wall at x=o and a finite wall at x=a. The height at x=a is such that U

How can one show that E

A bit stumped with the following question:

Consider a potential well with an infinite wall at x=o and a finite wall at x=a. The height at x=a is such that U

_{0}=2E_{1}' where E_{1}' is the energy of the particle's n=1 state in this semi-infinite well.How can one show that E

_{1}' is lower that E_{1}(the energy at n=1 for an infinite well) by a factor of 9/16???
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