Physics 31: Introduction to Quantum Mechanics
Instructor A. P. Hickman LL 404 Office hours: anytime except during the two hours before class 610-758-3917 aph2@lehigh.edu Concepts of Modern Physics (6th edition, 2003, by A. Beiser) ISBN 0-07-244848-2
Physics 31: Homework #2 Due Thursday, January 31, 2008 Problem A: Use the first order Taylor approximation (1 + )n 1 + n (for following expressions for the indicated limiting cases: (a) 1) to simplify the
M-m for m M M+m Hint: Factor out M from the
Physics 31: Homework #3 Due Thursday, Feburary 7, 2008 Problem A: When we considered the classical analog of Compton scattering, we wrote the following conservations equations for the x and y components of momentum and for the energy: mv = mv cos +
Physics 31: Homework #4 Due Thursday, February 14, 2008 Problem A: A parallel beam of particles with fixed kinetic energy is normally incident on a piece of gold foil. (a) If 100 particles per minute are detected at 20 , how many will be counted at
Physics 31 Spring, 2007
Solution to HW #1
Problem A A light source of wavelength illuminates a metal and ejects photoelectrons with a maximum kinetic energy of 1.0 eV. A second light source with half the wavelength of the first ejects photoelectro
Physics 31 Information about Exam 1 Spring, 2008
There will be an exam in class (9:2010:35 a.m.) on Feb. 28, 2008. The exam will be closed book, but you may bring one sheet of notes, size 8 1 11 inches. (Plan on adding to 2 this one page of notes fo
Physics 31 Spring, 2007
Solution to HW #2
Problem A Use the first order Taylor approximation (1 + )n 1 + n (for 1) to simplify the following expressions for the indicated limiting cases: (a) (b) (c) M -m M +m 1 1 - + p2 c2 + m2 c4 for m M mc
Physics 31 Spring, 2007
Solution to HW #4
Problem A A parallel beam of particles with fixed kinetic energy is normally incident on a piece of gold foil. (a) If 100 particles per minute are detected at 20 , how many will be counted at 40, 60, 80,
Physics 31: Homework #1 Due Thursday, January 24, 2008 Problem A: A light source of wavelength illuminates a metal and ejects photoelectrons with a maximum kinetic energy of 1.0 eV. A second light source with half the wavelength of the first ejects
Physics 31 Spring, 2007
Solution to HW #3
Square both sides of Eqs. (4) and (5) and then add. Use cos2 + sin2 = 1 to eliminate : (M u ) = m2 v 2 - 2m2 vv cos + m2 (v )2 Multiply Eq. (3) by 2M and rearrange terms: (M u ) = mM v 2 - (v )2 Now equa
Physics 31: Homework #5 Due Thursday, February 21, 2008 Problem A: The wave function of a particle is given by (x) = N exp - x 3.1915 A
2
(When you evaluate this function, take all distances x to be in .) A (a) What is the correct numerical value o
Physics 31 Spring, 2008
x 3.1915 A
Solution to HW #5
54 Find the value of the normalization constant A for the wave function = Ax exp(-x2 /2). We start with the normalization condition:
Problem A The wave function of a particle is given by
2
(