Problem 1. Suppose you have N = 1020 electrons in a 1-dimensional lattice as described in Section 8.1 of
the text.
(a) What are the possible values of according to Eq. (8.8)?
(b) What is the spacing between adjacent values of ?
(c) What does this imply ar
Problem 1. A CO2 laser used for fine processing of non-metallic materials emits 500 pulses/second with a total average power of 75 W. The wavelength of the light emitted is 10.6 m. (a) What kind of light is this? Visible? Ultraviolet? Infrared? Other? (b)
Extra Problem 1. Two neutral pions 0 and an electron are placed in a 1-D infinite square well of length L. (a) Write down the ground state wave function (including spin components) for this system. (b) Find the ground state energy. What is its deg
Problem 1. Substitute Y1,1 (, ) given by Eq. (6.45) into Eqs. (6.42) and (6.43), and show explicitly that
this is the correct eigenfunction with appropriate eigenvalues.
1
Problem 2. Use Eq. (6.50) to verify that Y1,0 (, ) and Y1,1 (, ) given by Eqs. (6.4
Extra Problem 1. Let's take a look at the transmission coefficients given in Problems 4.26 and 4.27 which together give us T for all possible values of E. (a) Express the transmission cofficients T in Problems 4.26 and 4.27 in terms of E/V0 and a/
Extra Problem 1. Lets look at the scattering from the step potential described in the text in Section 4.6
for E > V0 .
(a) Rewrite the reection probability given by Eq. (4.120) so
Problem 1. A particle of mass m is in the ground state of the infinite potential energy well V (x) = 0 0 < x < L, elsewhere. (1)
(a) If you measured the energy, what will you find? (Express your answer in terms of the variables m, L, etc.) With what proba
Physics 210
Spring 2013
Exam 2 Study Guide
Ground Rules:
This will be a close books, notes exam.
Topics Covered:
I. General Stu A. Schrdinger Equations (1-D) o 1. Time dependent Schrdinger wave equation o Separation of variables 2. Time independent Schrd