I am given three unnormalized wavefunctions for the system:
psi(x) = 100e^x for x<-4
psi(x) = 0.73 cos[(pi)x/40] for-4<x<4
psi(x) = 100e^-x for x>4

I need to determine the probability of the wavefunction vs. x for this system from x=-10 to x=10 so that I can plot it. I have to comment on the probability of finding the particle outside of the box (x<-4 or x>4). Then I need to find the average kinetic energy of the particle between -4 and 4 using the kinetic energy operator and integral tables (Use the unnormalized function). Then I need to normalize the wavefunction in the region between -4 and 4.

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The last question is pretty ambiguous.
If you need to normalize the wave function only at -4<x<4 disregarding the rest, I answered that in the last part of my answer (this is making the problem an infinite well problem).

If ...

Solution Summary

This solution is provided in approximately 219 words. It discusses wave function conditions and writes equations and continuity for the unnormalized functions. A diagram of the normalized wave function is provided along with the probability.

Tunneling Time and Probability of an Electron in a Square Well. ... calculate the probability of tunneling for an electron with 0.5eV of kinetic energy. ...

Tunneling Probability of an Electron in a Square Well. ... In order for the electron to have a 50% chance of tunneling through the barrier, we must have. ...

... albeit very small) to find the electron within the ... description explains the energy levels of electrons in atoms ... is used in STM (Scanning Tunneling Microscope). ...

... A heated filament acts as an electron gun and the ... the effective wavelength of the electrons; roughly 0.17 ... wave-particle duality is quantum mechanical tunneling. ...

... to the valance level for electrons to tunnel through the ... enough to give thermally excited electrons in the junction enough energy to create electron/hole pairs ...

... Current due to rotation of electron in the orbit i = M/A = M/pi*r^2. ... But the current of scanning tunneling microscope is given as i(tunneling) = 1nA. ...

... 2. The expression ψ*ψ gives the probability of finding an electron in a certain defined region of space. 3. The phenomenon of tunneling, which has no ...