Marshall Dixon

Natural Philosophy: The Logic of Physics Volume Two: The Quantum Theory of Everything The first volume of NATURAL PHILOSOPHY: THE LOGIC OF PHYSICS is used as the textbook for the first two years of the physics program at Cathedral High School in Indianapolis, Indiana. But the students have requested one or two additional years for a four-year physics majors program at Cathedral High School. This present volume is written to serve as the textbook for the second half of the physics program. The foundation for physics in the twenty first century is quantum mechanics; hence this second volume is devoted to developing that subject. Within that context, the physics of condensed matter is of great importance in 21st century technology. Thus, this book significantly stresses topics in condensed matter physics. In studying this book, certain topics can be stressed. Electromagnetic Theory: chapters 8 and 12 of volume one and chapter 13 of volume two Atomic and Nuclear Physics: chapters 16, 17, and 18 of volume two Condensed Matter: chapters 13, 14, 19 and 20 of volume two Quantum Optics: chapters 14 and 18 of volume two Chemical Engineering: chapter 19 of volume two The Physical Meaning of Quantum Mechanics: chapter 21 of volume two All required mathematics is developed when needed in the context of physics, but in doing so, all theorems are rigorously proved. The authors attempt to introduce new research topics at the time of writing this book. Instructors are encouraged to continue to discuss research topics. Physics students should learn what is not understood as well as understood.

Natural Philosophy: The Logic of Physics Volume One: Describing the World with Mathematics Fast paced and profusely illustrated with over 500 hand-drawn figures, Describing the World with Mathematics, is an introductory physics textbook suitable for courses at the university freshman and sophomore level, or for AP and IB high school courses. Physics starts and ends with laboratory data, but a discussion of laboratory data involves mathematics, mostly calculus in the beginning. How can a student, who only knows 8th grade algebra, be brought up to studying physics with calculus and differential equations? In this book, all necessary calculus and differential equations are rigorously developed in the context of physics, leaving no need for outside reference. All theorems are proved rigorously, and all physics formulas are derived from first principles or laboratory data. Several hundred students at Cathedral High School in Indianapolis, Indiana have helped to develop the related course. Highlights include: Viscous fluid flow with Reynolds number in chapter 3. Treatment of experimental data in chapter 4. Transfer functions and block diagrams in feedback and control engineering in chapter 5. Introduction to electrical measurements in chapter 8. Feynman graphs in chapter 9. Efficiency of internal combustion engines in chapter 10. Nuclear magnetic resonance in chapter 12. In every chapter there is far more material than an instructor may want to cover, leaving the student to discover the extent of this vast and interesting subject. Volume Two: The Quantum Theory of Everything is in preparation.