Homework 11
1. Read Marder pages 583-588. Look at Marder Figure 16.8 on page 430. This shows
an open orbit and a electron belly orbit. Identify another type of closed electron
orbit, and hole orbit. Hint for the latter: add an additional sphere to the dia
9/03
Introduction - 1
INTRODUCTION TO SOUND
The objectives of this experiment are: To study some basic features of simple and complex sounds and to investigate the relationships among the frequencies of notes on the chromatic scale To learn how to use two
97.1
Resonance - 1
MECHANICAL RESONANCE
The objectives of this experiment are:
To study the resonance behavior of a mechanical oscillator.
To measure the oscillator amplitude and phase as a function of frequency.
OSCILLATIONS
T
he loudness or intensity of
96.2
Speed of Sound - 1
SPEED OF SOUND
The objectives of this experiment are:
To measure the speed of sound in air.
APPARATUS: Computer, fftscope software, meterstick, sound tube apparatus,
thermometer
INTRODUCTION
S
ound is a pressure wave that travels i
96.2
Waves - 1
STANDING WAVES
ON A STRING
The objectives of the experiment are:
To show that standing waves can be set up on a string.
To determine the velocity of a standing wave.
To understand the differences between transverse and longitudinal waves.
A
96.2
Tube - 1
STANDING WAVES
IN AN AIR COLUMN
The objective of the experiment is:
To study the harmonic structure of standing waves in an air column.
APPARATUS: Function generator, oscilloscope, speaker, tube with rod, meter stick.
INTRODUCTION
A
travelin
12/97
Amplifier - 1
FREQUENCY RESPONSE OF
AN AUDIO AMPLIFIER
The objectives of this experiment are:
To understand the concept of HI-FI audio equipment
To generate a frequency response curve for an audio amplifier
To thoroughly bore you
APPARATUS: Audio Am
Vibrations - 1
VIBRATION OF PLATES & BARS
The objective of this experiment is:
To observe the normal modes of a flat bar clamped at one end and free on
the other and to observe the normal mode patterns of plates of different
shapes using Chladni patterns.
KnownmisprintsinAdvancedCondensedMatterPhysicsbyL.M.Sander
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pleasesendanemailtolsanderatumich.edu.
p 3. Before Eq. 1.9:
mass is is -> mass is
p 4 After Eq. 1.13 the Coulomb interaction :
V(r)
1. Consider a non-interacting gas of free electrons in two dimensions (T =
0). Find (a) the relationship between n and kF ; (b) the ground state
energy per electrons in terms of F ; (c) the single spin density of states
( ), as dened in class and on hando
Homework 3
1. In class we derived the Lindhard or RPA dielectric function for nite
frequencies using time dependent perturbation theory. For a zero frequency disturbance, one may use time independent perturbation theory, and the derivation becomes much si
Homework 4
Please note that there are two pages to this homework.
1. Suppose a time independent and spatially slowly varying external charge distribution
is placed on an electron gas, neutralized by a uniform positive background, at T = 0.
We may then use
Homework 5
1. Read Marder pages 155169, 185194, Sander pages 122126
2. The object of this problem is to derive a k space version of the Schrdinger equation
o
for the periodic part of the Bloch function. Consider an electron in a periodic potential
v (r) =
Homework 9
1. Read Marder, pp. 481484.
2. Look up the experimental values of the electrical conductivities of Ag, Zn, and Pb at
room temperature. Estimate the relaxation time and the mean free path. What is the
ratio between the mean free path and the lat
Homework 10
1. Read Marder pages 443462.
2. Certain impurities, when dissolved in certain metals, are known to have magnetic
moments. Due to a complicated interaction between these moments and the spins
of the electrons of the solvent, the d (l = 2) phase