Physics 249 Homework 6
Due Oct 26th
1) For the ground state and the n=2, l=0 state of the hydrogen atom find the probability of
finding the electron in a range r =0.02 ao around r=ao and r=2 a o .
For the ground state, n=1, l=0, m=0
1 2 r /a
Physics 249 Homework 11
Due Dec 14th
1) Two charged pions at rest annihilate according to the interaction
a) Why must the energies of the two gamma rays be equal?
b) Find the energy of each gamma ray.
c) Can two pions annihilate to one gamma ray? E
Physics 249 Homework 1
Due Sep 14th
1) Based on 3.2
Consider electrons and antiprotons entering a uniform field B perpendicular to their
direction of flight and traversing a length l I that field.
Show that the electrons or antiprotons are deflected throu
Physics 249 Homework 5
Due Oct 19th
1) Consider two potential steps. One from V(x<0)=0 to V(x>0)=V0 and the other from
V(x<0)=0 to V(x>0)=-V0. Consider a particle incident on this step potential from
x with total energy E=2V0. Note this is the total energ
Fc =ma c =m
Physics 249 Homework 2
Due Sep 21st
From Modern Physics 6th Edition
The wavelength of a particular line in the Balmer series is measured to be 379.1 nm,
What transition does it correspond to?
What will be the distance of closest approach rd
Physics 249 Homework 4
Due Oct 5th
1) A particle has a wave function given by ( x )= Aex / 2 L
E= /2m L .
a) Find the potential energy as a function of x.
b) What is the classical potential that has this dependence.
To find the potenti
Physics 249 Homework 9
Due Nov 30th
1) Considering the model where the deuteron consists of two protons and an electron.
Compute the spin and magnetic moment of the ground state. Compare the values with
those given in the table in chapter 11.
In this mode
Physics 241 Spring, 2013 Examination Two Sample Problems
Try to solve these problems yourself. We will go over them tomorrow in class.
1. Photons of energy h = 8.0 eV illuminate samples A and B. The highest energy electrons that emerge
from sample A have
Physics 249 Homework 8
Due Nov 9th
1) Five identical non-interacting particles are put in an infinite potential 1D square well
with L=1.0nm. Compare the ground state energy if they are muons (heavy version of the
electron) or pion (pions have symmetric wa
ported by Gisolf' (vis. 3350A); Kroger's curve, '
on the other hand, indicates an "extrapolated"
long wave-length limit around 3800A, in good
agreement with the value in Table I. Dr.
Headrick has suggested that since sample No. 2
The Molecular Beam Resonance Method for Measuring Nuclear Magnetic Moments
The Magnetic Moments
I. I. RABI, S. MIILMAN, P. KUscH,
and, F "~
New York, New York
Frequency Ratio of Al+ and Hg+ Single-Ion Optical Clocks; Metrology
at the 17th Decimal Place
T. Rosenband et al.
Science 319, 1808 (2008);
If you wish to distribute this article to others, you can order high-quality copies fo
PRL 110, 171102 (2013)
26 APRIL 2013
PHYSICAL REVIEW LETTERS
New Method for Gravitational Wave Detection with Atomic Sensors
Peter W. Graham,1 Jason M. Hogan,2 Mark A. Kasevich,2 and Surjeet Rajendran1
Department of Physics, Stanford Institu
PHYSICAL REVIEW LETTERS
VOLUME 63, NUMBER 6
7 AUGUST 1989
in an Atomic Fountain
Mark A. Kasevich, Erling Riis, and Steven Chu
of PhysicsS, tanford University, Stanford, California 94305
Ralph G. DeVoe
IBM Almaden Research Center
The Journal of Measurement Science
Vol. 2 No. 4 December 2007
In This Issue:
measure The Journal of Measurement Science
Application of Simulation Software
to Coordinate Measurement
Physics 249 Homework 3
Due Sep 28th
From Modern Physics 6th Edition.
A free proton moves back and forth between rigid walls separated by a distance
a) If the proton is represented by a one-dimensional standing de Broglie wave with a
Physics 249 Homework 7
Due Nov 2nd
1) For l=1 m=0, 1 and l=2 m=0 show that the spherical harmonic solutions satisfy the
angular momentum operator with the correct eigenvalue.
Y 11 ( , )=
For this wave function we want to demonstrate:
Physics 249 Homework 10
Due Dec 7th
1) a) Show that Potassium 40 can energetically undergo beta-, beta+ and electron capture.
b) Using the energy level diagrams from lecture 34 discuss why it is possible for this
isotope to undergo all three interactions.