Physics Derived from the Equation of Motion

【Using the map】

“Prerequisites” lists the chapters needed to understand a chapter before reading it, including chapters in other fields. “Read first” shows the reading order. Selecting “View connections” displays prerequisite chapters and subsequent chapters in a list and connects them with lines. Hovering over a card also highlights prerequisite chapters in dark blue and subsequent chapters in light blue. “What this chapter covers” identifies the quantities calculated and the concepts explained.

【Assumptions behind the derivations】

Not everything is derived solely from Newton's equation of motion. Each chapter identifies any new laws or principles it introduces. The derivations also use models, approximations, and experimental results. The Schrödinger equation is introduced as a new fundamental law. “The quantum spring and uncertainty” examines the equations governing the expectation values of position and momentum, along with the conditions under which they reproduce classical motion.

【Reading history】

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