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