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Qmechanic ♦
Qmechanic ♦
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Nicolas Schmid
Nicolas Schmid
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What happens with the energies of the boundstates in an infinitinfinite square well if we put a small potential step in the middel?

I am wondering how (qualitatively) the energies of the boundstates in an infinitinfinite square well with a small potential step in the middle changes if we change that potential step. The problem is actually pretty similar to this post, but I especially would like to know how the gaps between the energies changes, if we change the height or the width of the potential step.

I tried to find a formula for the energies by solving the time independent problem, but couldn't find a clear solution (it looked more like a transcendantal equation but I might have made some mistakes).

What happens with the energies of the boundstates in an infinit square well if we put a small potential step in the middel?

I am wondering how (qualitatively) the energies of the boundstates in an infinit square well with a small potential step in the middle changes if we change that potential step. The problem is actually pretty similar to this post, but I especially would like to know how the gaps between the energies changes, if we change the height or the width of the potential step.

I tried to find a formula for the energies by solving the time independent problem, but couldn't find a clear solution (it looked more like a transcendantal equation but I might have made some mistakes).

What happens with the energies of the boundstates in an infinite square well if we put a small potential step in the middel?

I am wondering how (qualitatively) the energies of the boundstates in an infinite square well with a small potential step in the middle changes if we change that potential step. The problem is actually pretty similar to this post, but I especially would like to know how the gaps between the energies changes, if we change the height or the width of the potential step.

I tried to find a formula for the energies by solving the time independent problem, but couldn't find a clear solution (it looked more like a transcendantal equation but I might have made some mistakes).

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Nicolas Schmid
Nicolas Schmid
  • 1.2k
  • 1
  • 6
  • 23

What happens with the energies of the boundstates in an infinit square well if we put a small potential step in the middel?

I am wondering how (qualitatively) the energies of the boundstates in an infinit square well with a small potential step in the middle changes if we change that potential step. The problem is actually pretty similar to this post, but I especially would like to know how the gaps between the energies changes, if we change the height or the width of the potential step.

I tried to find a formula for the energies by solving the time independent problem, but couldn't find a clear solution (it looked more like a transcendantal equation but I might have made some mistakes).