Using a 03 nm m 1me and V0 10 e V plot the function fE co

Using a= 0.3 nm, m = 1m_e, and V_0 = 10 e V. plot the function fE = cos a- sin a as a function of energy. Find the lowest even and odd solutions to the square well problem with a= 0.3 nm. M = 1m_e, and V_0, = 10eV. Plot the potential and the wavefunctions associated with these eigenvalues (The convention is to align the zero baseline of the wave function with the energy eigenvalue.) Of course, you should augment your plot with appropriate labeling, a title, and so forth. It\'s quite common in physics that the solution to one problem just leads to more questions. You\'ve now found the lowest energies of the square well for a particular width parameter a, but doesn\'t that make you wonder how the energies would change with a? Or with V_0? Investigate the dependence of the lowest two eigenvalues (energies) of the square well upon V_0, (with a fixed at 0.3 nm) and a (with V_0 fixed at 10 eV). and plot your results. What is the smallest width that will support two bound states? Cheers! Happy coding! xD

Solution

program to generate cosine wave


f= input(\'enter the frequency in hertz of the sine wave\');
t=0:.0001:5;
y=cos(2*pi*f*t);
plot(t,y);
ylabel (\'Amplitude\');
xlabel (\'Time Index\');
TITLE (\'cosine wave\');

program to generate sine wave


f= input(\'enter the frequency in hertz of the sine wave\');
t=0:.0001:5;
y=sin(2*pi*f*t);
plot(t,y);
ylabel (\'Amplitude\');
xlabel (\'Time Index\');
TITLE (\'Sine wave\');