Infinite square well

  • Thread starter donsammie
  • Start date
  • #1
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 Schrodinger time-independent equation:

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

where H_{0} is the usual Laplace operator

Thank you!
 

Answers and Replies

  • #2
36,105
13,046
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.
 
  • #3
donsammie
2
0
Thank you mfb. How do you use TeX on the forum?
 

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