Potential Function of Infinite Square Well - Help Needed!

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Discussion Overview

The discussion revolves around the identification and application of a potential function described by a specific mathematical expression, particularly in the context of quantum mechanics and the 1-D Schrödinger time-independent equation. Participants explore the characteristics of the potential function and its classification.

Discussion Character

  • Technical explanation, Conceptual clarification, Homework-related

Main Points Raised

  • One participant inquires whether the given potential function can be classified as an infinite well potential and seeks clarification on its applications.
  • Another participant asserts that it is indeed an infinite square well, suggesting that the potential values at ±1 are irrelevant to the classification.
  • A third participant requests information on how to use TeX formatting in the forum.

Areas of Agreement / Disagreement

There is a disagreement regarding the relevance of the potential values at ±1 in defining the potential function, with one participant asserting it does not matter while another seeks clarification on the classification.

Contextual Notes

The discussion does not resolve the implications of the potential values at ±1 or their impact on the application of the potential function in solving the Schrödinger equation.

donsammie
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Please I'm new here, and would need your help with identifying what sort of potential function is described by the following expression:

V(x) = 0 for |x| < 1, =1 at x = \pm 1, and =\infty for |x|>1.

(Note that: \pm is plus (+) or minus (-) sign).

Could it be referred to as the infinite well potential? If not, what kind of potential can it be called, and where can it be applied.

I'm particular interested in solving the 1-D Schrödinger time-independent equation:

H_{0}f(x) + V(x)f(x)= E f(x),

where H_{0} is the usual Laplace operator

Thank you!
 
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It is an infinite square well, and the potential at ± 1 does not matter here.

##V(x)=\infty## <- you can use TeX in this forum.
 
Thank you mfb. How do you use TeX on the forum?
 

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