Central Forces Homework 2
Due 03/02/12
REQUIRED:
1. Consider a very light particle of mass scattering from a very heavy, stationary particle
of mass M . The force between the two particles is a repuls
Central Forces
Conic Sections
Complete and keep in your notebook
In the Mathematica worksheet, http:/physics.oregonstate.edu/ph426/mathematica/cfconics.nb, you
will examine a two parameter family of c
Central Forces
Effective Potentials
Keep in your notebook
In the Mathematica worksheet, http:/physics.oregonstate.edu/ph426/mathematica/cfeffpotential.nb,
you will be examining how various parameters
Central Forces
Orbits
Keep in your notebook
In the Mathematica worksheet, http:/physics.oregonstate.edu/ph426/mathematica/cforbits.nb, you
will be examining how various parameters affect orbits.
1. Wo
Central Forces Homework 1
Due 2/29/12
PRACTICE:
1. If a central force is the only force acting on a system of two masses (i.e. no external
forces), what will the motion of the center of mass be?
2. Wh
Central Forces
Velocity and Acceleration in Polar Coordinates
1. Find r and in terms of r and .
2. Find ~v and ~a in terms of r and .
Corinne Manogue
c
1999
Corinne A. Manogue
Central Forces Homework 3
Due 03/07/12
REQUIRED:
1. NASA has launched a satellite into a circular orbit around the earth and wants to
increase the radius slightly while maintaining a circular orbit. N
Central Forces Homework 5
Due 03/14/12
PRACTICE:
1. (McIntyre 7.20)
In each of the following sums, shift the index n n + 2. Dont forget to shift the
limits of the sum as well. Then write out all of th
Central Forces Homework 6
Due 03/16/12
PRACTICE:
1. (McIntyre 8.2) Use the recurrence relation for the radial wave function to construct the
n = 3 radial states of hydrogen. Calculate the normalizatio
Central Forces
Corinne A. Manogue
with Tevian Dray, Kenneth S. Krane, Jason Janesky
Department of Physics
Oregon State University
Corvallis, OR 97331, USA
[email protected]
c
!2007
Corin
Quantum Calculations on a Ring I
Before you begin, recall that an arbitrary state |i can be written as
.
.
.
.
h4|i
a
4
h3|i a3
h2|i
a
2
h1|i a1
.
= a0
h0|i
|i =
h1|i
a
1
h2|
Central Forces Homework 4
Due 03/09/12
PRACTICE:
1. (McIntyre 7.5)
An angular momentum system with l = 1 is prepared in the state:
2
3
4
| = |1, 1 + i |1, 0 |1, 1
29
29
29
(a) What are the possible re
Quantum Calculations on a Ring II
In this activity, your group will carry out calculations on the following quantum state on a ring:
|i =
3
4
| 1i + |2i
5
5
1. You carry out a measurement to determine