Analysis of Finite Square Potential Well: Bound and Scattering States

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SUMMARY

The discussion centers on the analysis of the finite square potential well, specifically regarding bound and scattering states defined by the potential function V(x) = -Vo for x ≤ 0 and x ≥ a, and V(x) = 0 for 0 < x < a. Participants emphasize the importance of self-research and understanding the underlying physics rather than seeking direct solutions from others. The conversation highlights the necessity of consulting textbooks and credible online resources for a comprehensive understanding of the topic.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with potential wells and wave functions
  • Knowledge of boundary conditions in quantum systems
  • Ability to solve differential equations relevant to quantum mechanics
NEXT STEPS
  • Study the derivation of bound state solutions in finite square wells
  • Explore scattering state analysis in quantum mechanics
  • Review the mathematical techniques for solving the Schrödinger equation
  • Investigate resources on quantum mechanics textbooks and online lectures
USEFUL FOR

Students of quantum mechanics, physics educators, and researchers interested in the properties of potential wells and their implications in quantum theory.

Hydeyuki
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Hello, can anyone explain the full analysis of finite square potential well (bound state and scattering state) if

V(x) = -Vo, x <= 0 (region 1)
V(x) = 0, 0 < x < a (region 2)
V(x) = -Vo, x >= a (region 3)


It will be helpful if you can attach the analysis in .pdf format. Thank you in advance
 
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I think you haven't read the guidelines for using the HW help section of the forum (useful read here https://www.physicsforums.com/showthread.php?t=94380). The idea is that you and I mean you should find the solution to your homework, not asking for someone else to solve your homework. And if possible, in greatest detail.

So no, nobody will explain to you the <full analysis of finite square potential well (bound state and scattering state) if

V(x) = -Vo, x <= 0 (region 1)
V(x) = 0, 0 < x < a (region 2)
V(x) = -Vo, x >= a (region 3)>

and most certainly nobody will attach a pdf with it.

You're invited to look for this analysis in your textbook, in other books, or on the internet and should you have any questions regarding the material you have found, post them here, but first try to find the answer by yourself before asking for help.
 

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