Feynman’s Path Integral explained with basic Calculus  (Paperback, Swapnonil Banerjee, PhD)

Richard P. Feynman shared the story of discovering the Path Integral in his Nobel Lecture. He had learned of a paper by Paul Dirac at a beer party from a gentleman named Jehle. Pouring over the same together at a library the day next, to Jehle’s utter astonishment, Feynman derived Schrodinger’s equation in real-time based on an idea from that paper. The key concept in that derivation was the “propagator”, which gave birth to the field of “Feynman’s Path Integral.” You will learn exactly how Feynman did it, in this book. The Path Integral is a formulation of quantum mechanics describing both non-relativistic (low speed) and relativistic (high speed) quantum phenomena, including quantum electrodynamics, and other quantum field theories. It is usually considered an advanced topic reserved for graduate-level courses. This book presents Path Integrals for non-relativistic particles from first principles with no more than basic Calculus. With minimal prerequisites, the presentation in this book hopes to make Path Integrals accessible without advanced training. What this book will do for you… Learn how Path Integrals appear in Quantum Mechanics via Propagators. Learn how the classical trajectory of a particle is connected to the “quantum” propagator. Calculate the Propagator for a Free Particle à Use it to Derive: de Broglie’s Wavelength. Einstein’s Energy-Frequency Relationship. Calculate the Propagator for a Particle with Potential and Kinetic Energy. Derive Schrodinger’s Equation using the Propagator. Inside the Book: Learn Feynman’s Path Integral technique with basic Calculus. 7 chapters, starting from a review of Mathematical Prerequisites. Presentation interspersed with Exercises and Worked-out Solutions to consolidate your learning.