PHY373: QUANTUM MECHANICS I (S12)
Solutions to Homework Set #2, Due 02/08/12
Problem 1: 10 Points
We solved the Schroedinger equation for the standard and symmetric innite wells using sin(kx) and
cos(kx) solutions. A general solution of the form
(x) = Ae
PHY373: QUANTUM MECHANICS I (S12)
Solutions to Homework Set #4, Due 02/29/12
Problem 1: 15 Points
The potential energy of two atoms separated by a distance r is often well represented by the LennardJones potential:
6
12
2
V (r) =
r
r
where and are parame
Jake Leighton
CH 455
TA: Katie Martins
Partner: Hang Bui
Capillary Electrophoresis:
Microscale Separation of Vitamins
Purpose
!
The purpose of this lab is to gain an understanding of the methods and
techniques of capillary electrophoresis in order to exec
Jake Leighton
CH 455
TA: Katie Martins
Partner: Hang Bui
Lab: CV
An Investigation of Electrochemistry, using
Chronoamperometry & Cyclic Voltammetry
Purpose
!
In this experiment, we used the techniques of chronoamperometry and cyclic
voltammetry to investi
Jake Leighton
Mock Project Part II
CH 370
Zhang
Editing Partner: Robert Powers
Mock Project Part II
1. You want to generate a model of the protein structure to guide you in structurefunction study. Attached is a pdb le for the model (model_1.pdb). Please
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #6, Due 10/14/11
Schroeder: 5.32, 5.41, 2.3, 2.5, 2.12
Problem 1 (Schroeder 5.32): 10 Points
The density of ice is 917 kg/m3 .
(a) Use the Clausius-Clapeyron relation to explain why
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #3, Due 09/16/11
Schroeder: 4.1, 4.2, 4.5, 4.7, 4.11
Problem 1 (Schroeder 4.1): 10 Points
Recall Problem 1.34, which concerned an ideal diatomic gas taken around a rectangular cycle
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #8, Due 10/28/11
Schroeder: 6.6, 6.10, 6.13, 6.17, 6.18
Problem 1 (Schroeder 6.6): 10 Points
Estimate the probability that a hydrogen atom at room temperature is in one of its rst e
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #1, Due 09/02/11
Schroeder: 1.3, 1.4, 1.10, 1.16, 1.18
Problem 1 (Schroeder 1.3): 10 Points
Determine the Kelvin temperature for each of the following:
(a) Human body temperature;
(
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #5, Due 09/30/11
Schroeder: 3.28, 3.30, 3.32, 3.33, 5.23 (a,b,c)
Problem 1 (Schroeder 3.28): 10 Points
A liter of air, initially at room temperature and atmospheric pressure, is hea
Excitation of Mercury and Neon gas using a Franck-Hertz tube
Jake Leighton
Physics Department, University of Texas at Austin
Abstract
The electrical properties of the excitation of electrons from Hg and Ne gas were
used in the original Franck-Hertz experi
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #2, Due 09/09/11
Schroeder: 1.33, 1.35, 1.38, 1.41, 1.45
Problem 1 (Schroeder 1.33): 10 Points
An ideal gas is made to undergo the cyclic process shown in Figure 1.10(a). For each o
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #4, Due 09/23/11
Schroeder: 5.8, 5.10, 5.12, 5.13, 5.21
Problem 1 (Schroeder 5.8): 10 Points
Derive the thermodynamic identity for G (equation 5.23), and from it the three partial d
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #9, Due 11/04/11
Schroeder: 6.42, 6.43, 6.45, 7.8, 7.52
Problem 1 (Schroeder 6.42): 10 Points
In Problem 6.20 you computed the partition function for a quantum harmonic oscillator:
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #10, Due 11/11/11
Schroeder: 7.3, 7.6, 7.10, 7.11, 7.12
Problem 1 (Schroeder 7.3): 10 Points
Consider a system consisting of a single hydrogen atom/ion, which has two possible state
PHY369: THERMODYNAMICS AND STAT MECHANICS (F11)
Solutions to Homework Set #11, Due 12/02/11
Schroeder: 7.20, 7.37, 7.42, 7.45, 7.46
Problem 1 (Schroeder 7.20): 10 Points
At the center of the sun, the temperature is approximately 107 K and the concentratio
Solutions to Homework #8 of PHY362K
Xiaoyu Wu
November 24, 2012
Q1:
(a)The wavefunction at time t can be written as:
1 iE1 t/
2 iE2 t/
(t) =
e
e
1 (x) i
2 (x)
3
3
1 iE1 t/
2
2 iE2 t/
2
2
e
sin( x) i
e
sin( x)
=
3
L
L
3
L
L
(1)
where
2 2
2 2 2
, E2 =
2mL2
Solutions to Homework #7 of PHY362K
Xiaoyu Wu
November 2, 2012
Q1:
(a)Suppose | = c1 (t)eiE1 t/ |1 + c2 (t)eiE2 t/ |1. This is slightly dierent
from the question but do not aect the result.
From Time Dependent Schrdingers Equation, We have:
o
i
c1 = H12 e
Solutions to Homework #6 of PHY362K
Xiaoyu Wu
October 28, 2012
Q1:
(a)The binding energy of the ground state can be expressed as:
Egs = [
e2 2
(
) ] = 6.8eV
2 2 40
(1)
mp me
= 0.5me
mp + me
(2)
where is the reduced mass
Considering the ne structure, the e
PHY373: QUANTUM MECHANICS I (S12)
Solutions to Homework Set #3, Due 02/15/12
Problem 1: 10 Points
Evaluate the matrix elements (n + )|X 2 |n and (n + )|P 2 |n in the harmonic oscillator basis for
= 1, 2, 3, 4.
Important Equations:
1. Dirac Inner Product
PHY373: QUANTUM MECHANICS I (S12)
Solutions to Homework Set #1, Due 02/01/12
Problem 1 (Griths 2.4): 10 Points
Consider the wave function,
0
for x 0
( x) =
A sin[3x/c] for 0 x c
0
for c x
(a) Find A such that the wave function is properly normalized.
(b)
Muon Lifetime
Jake Leighton
Partner: Jonathan Lallinger
Spring 2012
Supervisor: Dr. Hoffmann
Abstract
!
In this experiment, we obtained the lifetime of muons created in the atmosphere
by measuring their decay time as they passed through two plastic scinti
Quantized Electron Charge
using the Millikan Oil Drop Experimental Setup
Jake Leighton
Physics Department, University of Texas at Austin
Abstract
Since the late 1900s scientists have been studying the idea of a fundamental
charge. The electron is a subato
Electron Diffraction and Crystal Structure using Thermionic Emission
Jake Leighton
Physics Department, University of Texas at Austin
Abstract
Electrons will exhibit a wave-like, circular diffraction pattern when sent through a
crystalline structure. Follo