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Consider a finite square well, with V = 1.2 eV outside. It holds several energy states,...

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Physics

Consider a finite square well, with V = 1.2 eV outside.It holds several energy states, but we are only interested intwo:

  • E1 = 1.15 eV
  • E2 = 1.1 eV

1) For E = 1.15 eV, what is the decay constant,κ, outside the well in nm-1(i.e.,where V = 1.2 eV)?

κ =

2) For E = 1.1 eV, what is the decay constant,κ, outside the well in nm-1 (i.e.,)where V = 1.2 eV)?

κ =

3) For E = 1.15 eV, suppose the probability density atsome position,x, outside the well isP(x) and the probability density 1 nm fartherfrom the well is P(x+1 nm). What is the ratio,P(x+1 nm)/P(x), of these twoprobailities?

Ratio =

4) For E = 1.1 eV, suppose the probability density atsome position,x, outside the well isP(x) and the probability density 1 nm fartherfrom the well is P(x+1 nm). What is the ratio,P(x+1 nm)/P(x), of these twoprobailities?

Ratio =

5) If we squeeze the well (decrease L), the energies ofthe states will increase. What is the limiting valueκlimit of an energy state's κ as itsenergy approaches the top of the well innm-1(i.e., as E → 1.2 eV).

κlimit =

Answer & Explanation Solved by verified expert
4.1 Ratings (774 Votes)
In the region outside the box the decay constant is givenbyHere 1 for E115eVNote though    See Answer
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