- The Particle In Finite Potential Well In Lab Last Week We Numerically Solved The Transcendental Equation To Find The A 1 (7.33 KiB) Viewed 41 times
The Particle in Finite Potential Well
In lab last week we numerically solved the transcendental
equation to find the allowed values of the
energy for the even wavefunctions of the particle in a finite well
with E < V0. Write your own code to
solve the transcendental equations for the even and odd
wavefunctions.
(a) Take V0 = 10, and the width of the box to be a = 2. You can
set other pesky constants to unity
as we did in the lab.
(b) Make a single plot and show both the even and odd solutions to
the energy eigenvalues.
(c) Scale the axes in the same way as has been done in your
textbook (Fig. 5.16 on page 132).
(d) Show the even and odd functions in different colors so you can
tell them apart
The Particle in Finite Potential Well
In lab last week we numerically solved the transcendental equation to find the allowed values of the energy for the even wavefunctions of the particle in a finite well with E< Vo. Write your own code to solve the transcendental equations for the even and odd wavefunctions. (a) Take Vo = 10, and the width of the box to be a = 2. You can set other pesky constants to unity as we did in the lab. (b) Make a single plot and show both the even and odd solutions to the energy eigenvalues. (c) Scale the axes in the same way as has been done in your textbook (Fig. 5.16 on page 132). (d) Show the even and odd functions in different colors so you can tell them apart
f(z) A z tanz -z cotz cotz 21 Zo 371 2 28 - 22 TT NE →Z TT 37 ZOZA 0 이 TT 2 2 FIGURE 5.16 Graphical solution of the transcendental equations for the allowed energies of a finite square well (20 = 6).