Author: jamespatewilliamsjr

My whole legal name is James Pate Williams, Jr. I was born in LaGrange, Georgia approximately 70 years ago. I barely graduated from LaGrange High School with low marks in June 1971. Later in June 1979, I graduated from LaGrange College with a Bachelor of Arts in Chemistry with a little over a 3 out 4 Grade Point Average (GPA). In the Spring Quarter of 1978, I taught myself how to program a Texas Instruments desktop programmable calculator and in the Summer Quarter of 1978 I taught myself Dayton BASIC (Beginner's All-purpose Symbolic Instruction Code) on LaGrange College's Data General Eclipse minicomputer. I took courses in BASIC in the Fall Quarter of 1978 and FORTRAN IV (Formula Translator IV) in the Winter Quarter of 1979. Professor Kenneth Cooper, a genius poly-scientist taught me a course in the Intel 8085 microprocessor architecture and assembly and machine language. We would hand assemble our programs and insert the resulting machine code into our crude wooden box computer which was designed and built by Professor Cooper. From 1990 to 1994 I earned a Bachelor of Science in Computer Science from LaGrange College. I had a 4 out of 4 GPA in the period 1990 to 1994. I took courses in C, COBOL, and Pascal during my BS work. After graduating from LaGrange College a second time in May 1994, I taught myself C++. In December 1995, I started using the Internet and taught myself client-server programming. I created a website in 1997 which had C and C# implementations of algorithms from the "Handbook of Applied Cryptography" by Alfred J. Menezes, et. al., and some other cryptography and number theory textbooks and treatises.

Exercises for the Feynman Lectures on Physics by Richard Feynman, Et Al. Chapter 18 Algebra – Detailed Work by James Pate Williams, Jr. BA, BS, MSwE, PhD

Feynman Exercises Chapter 18

Exercises for the Feynman Lectures on Physics by Richard Feynman, Et Al. Chapter 38 Differential Calculus of Vector Fields – Detailed Work by James Pate Williams, Jr. BA, BS, MSwE, PhD

Feynman Exercises Chapter 38

Separation and Partial Solution of the Time Dependent Schrödinger Equation for the Non-Relativistic Hydrogen-Like Atom by James Pate Williams, Jr. BA, BS, MSwE, PhD

In the following terse document we start with the non-relativistic and time dependent Schrödinger equation for the hydrogen-like atom of atomic number Z. We then separate the equation into one ordinary differential equation eigenvalue problem involving the variable time and two partial differential equations eigenvalue problems, each with three variables. The resulting center of mass partial differential equation eigenvalue problem is separable in Cartesian coordinates. The other eigenvalue problem is not separable in Cartesian coordinates due to the nature of the potential energy function in the Hamiltonian operator. This treatment is an expansion on the excellent textbook section that is cited in the References section of the document.

The time dependent Schrödinger equation for the hydrogen

A Modern Reincarnation of Ordnance Pamphlet 770 October 1941 by James Pate Williams, Jr. BA, BS, MSwE, PhD

Ordnance Pamphlet 770 by the United States Navy is concerned with testing and calibrating the 16 inch/50 caliber guns of the Iowa class of fast battleships. I use modern digital computer methods to attempt to reproduce the analog computations of the ordnance pamphlet. Recall that digital computers did not exist in 1941, but analog computers using cams, differentials, gears, and levers did exist.

Pamphlet Paper