define a one-dimensional potential well having energies U as a function of position x as follows: U=infinity for x= -1nm to x=0; U=0 eV for x=0 to x=5nm; U=10 eV for x=5nm to x=7nm; U=0 for x>7nm and x< -1nm. We plut an electron with energy E=5eV between x=0 and x=5nm.
a) Write the schrodinger wave equation for each region in the figure
b) Write the expressions for the general form of the wave function in each region
c)what are the boundary conditions and why
d) what does the graph of the wave function look like for the lowest energy level
e) what is the most likely place to find a particle in this energy state?