Physics 741 Graduate Quantum Mechanics 1
Solutions to Chapter 1
1. [10] A particle of mass m lies in one-dimension in a potential of the form V(x) =
Fx, where F is constant. The wave function at time
1/26/2017
PHY 712 Electrodynamics
9-9:50 AM MWF Olin 103
Plan for Lecture 7:
Start reading Chapter 3
Solution of Poisson equation in for
special geometries
A. Cylindrical
B. Spherical
01/27/2017
PHY
1/19/2017
PHY 712 Electrodynamics
9-9:50 AM MWF Olin 103
Plan for Lecture 4:
Reading: Chapter 1 & 2 in JDJ
Electrostatic potentials
1. One, two, and three dimensions
(Cartesian coordinates)
2. Mean va
1/28/2017
PHY 712 Electrodynamics
9-9:50 AM MWF Olin 103
Plan for Lecture 8:
Start reading Chapter 4
Multipole moment expansion of
electrostatic potential
A. Spherical coordinates
B. Cartesian coordi
Numerical methods to solve Poisson and Laplace equations; Finite difference
methods
The basis for grid-based finite difference methods is a Taylors series expansion:
1
1
1
(u)2 (r)+ (u)3 (r)+ (u)4 (r)
2/3/2017
PHY 712 Electrodynamics
9-9:50 AM MWF Olin 103
Plan for Lecture 10:
Complete reading of Chapter 4
A. Microscopic macroscopic
polarizability
B. Clausius-Mossotti equation
C. Electrostatic ener
2/6/2017
PHY 712 Electrodynamics
9-9:50 AM MWF Olin 103
Plan for Lecture 11:
Start reading Chapter 5
A. Magnetostatics
B. Vector potential
C. Example: current loop
02/06/2017
PHY 712 Spring 2017 - Lec
1/9/2017
PHY 712 Electrodynamics
9-9:50 AM MWF Olin 103
Plan for Lecture 1:
Reading: Appendix 1 and Chapters I&1
1. Course structure and expectations
2. Units SI vs Gaussian
3. Electrostatics Poisson
1/18/2017
PHY 712 Electrodynamics
9-9:50 AM MWF Olin 103
Plan for Lecture 3:
Reading: Chapter 1 in JDJ
1. Review of electrostatics with onedimensional examples
2. Poisson and Laplace Equations
3. Gree
1/25/2017
PHY 712 Electrodynamics
9-9:50 AM MWF Olin 103
Plan for Lecture 6:
Continue reading Chapter 2
1. Methods of images - planes,
spheres
2. Solution of Poisson equation in
for other geometries -
Lecture 7 Notes
Particle nature of light was proposed by Einstein in 1905 to explain the photo-electric
effect. Photo-electric effect automatic door openers in grocery stores. Particles of light
are c
Physics 741 Graduate Quantum Mechanics 1
Solutions to Chapter 2
1. [10] A free particle of mass m in one dimension takes the form at t = 0
x, t 0 x A exp iKx 1 Ax 2
2
1/ 4
Note that this is identica
Physics 741 Graduate Quantum Mechanics 1
Solutions to Chapter 3
1. [10] Prove Schwartzs inequality, , , , , . You may prove it
however you want; however, here is one way to prove it. Expand out the in
Physics 741 Graduate Quantum Mechanics 1
Solutions to Chapter 5
1. [15] The Lennard-Jones 6-12 potential is commonly used as a model to describe
the potential of an atom in the neighborhood of another
Physics 741 Graduate Quantum Mechanics 1
Solutions to Chapter 6
1. [10] For the finite square well in section C, we showed that (6.24) is satisfied for
the even wave functions. Repeat this derivation
Physics 742 Graduate Quantum Mechanics 2
Solutions to Final Exam, Spring 2010
Due Friday, May 7
You may use (1) class notes, (2) the text, (3) former homeworks and solutions (available
online), or (4)
Physics 742 Graduate Quantum Mechanics 2
Final Exam, Spring 2010
Due Friday, May 7
You may use (1) class notes, (2) the text, (3) former homeworks and solutions (available
online), or (4) any math ref
Lecture 3 Notes
Quantum theory is a theory needed to describe physics on a
microscopic scale, such as on the scale of atoms, molecules,
electrons, protons, etc.
Classical theories:
Newton Mechanical m
Lecture 4 Notes
Photons can be treated as packets of
light which behave as a particle.
To describe interactions of light with matter, one generally has to
appeal to the particle (quantum) descriptio
Chronic Diseases
Cardiovascular Disease
What is Cardiovascular Disease (CVD)? Heart
conditions that include diseased vessels, structural
problems, and blood clots.
What are the two types of CVD? Coron