COSMOS CLUSTER X, SUMMER 2015
COMPUTATIONAL QUANTUM PHYSICS

INSTRUCTORS: Richard Scalettar, Shirley Chiang, Gary Slizeski

GENERAL DESCRIPTION:
The laws that govern the motion of small objects, for example electrons in a solid, are fundamentally different from the familiar laws that Newton discovered. Not only are they different, but they are often counterintuitive. One cannot know the precise location of objects! Certain configurations are forbidden- a spinning molecule can have some angular orientations but not others! Only restricted sets of energy levels are allowed. To understand modern electronics we need to master these unfamiliar and strange laws and their consequences. This is the goal of our cluster. There are some technical things we need to learn along the way: the linux operating system of the computers we will be using and how to write programs in C. We won't assume students know too much about these things, so we'll do a lot of simple, but interesting warm-up programs before tackling our quantum physics projects.


COURSE SCHEDULE:
Where should I be?
WRITING AND COMMUNICATION ACTIVITIES
Learning how science and research are presented.
COMPUTING GUIDES:
The vi editor
The linux operating system
Introduction to xmgrace
NOTES
Cluster Organization
Computers
Logging in and linux beginnings
Editing and hello.c
Compiling C programming- hello.c and add.c
C programming- quadratic.c
C programming- intersect.c
C programming- Arithmetic Series
C programming- Storing Numbers, Base 2
C programming- Geometric Series
C programming- Factorials
C programming- Exponentials from polynomials
C programming- sine function from polynomial
C programming- Writing to a file
C programming- do-while loops
C programming- integer arithmetic; the modulo function
C programming- root finding by bisection
C programming- a random number generator
C programming- two more random number generators
C programming- moments of random numbers
C programming- Checking random number generator visually
C programming- a first random walk
PROJECT WRITE-UP
SOME SAMPLE MOVIES OF TUNNELIING
new V10x80to82K04
V10x80to82andx86to88K04
V0to10x80to84K04.gif
Vint05collide.gif
Vint20collide.gif
Vint40collide.gif
Vint80collide.gif
Vint160collide.gif

SOME EXTRA PROGRAMMING TASKS AND NOTES:
Modulo, even/odd, primes and NIM
The Fibonacci Numbers
CHAOS!
Collatz Conjecture
Distance Between a Point and a Line
Molecular Dynamics: Oscillations
Molecular Dynamics: Satellite Motion
Gambler's Ruin
The Locker Problem
QUANTUM PHYSICS LECTURES AND READING:
Three lectures by Hans Bethe (my sister's namesake!)
Wikipedia's Introduction to Quantum Mechanics
Quantum Mechanics Made Easy
The Earth as a computer
Extra solar planets (background for 3-body Kepler challenge)