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Feynmans Path Integral explained with basic Calculus

vare #: 118347171

Feynmans Path Integral explained with basic Calculus

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vare #: 118347171

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Det som utmerker seg

Comprehensive Explanation

Provides a detailed, accessible explanation of Feynman's Path Integral using basic calculus, making complex concepts understandable for beginners and enriching for those looking to refine their knowledge.

Visual Illustrations

Incorporates visual aids such as diagrams and graphs to enhance comprehension of the path integral formulation, bridging theory with intuitive understanding.

Practical Examples

Includes practical examples that showcase real-world applications of Feynman's Path Integral, aiding learners in seeing the relevance of the theory in various fields like quantum mechanics.

Produkt detaljer

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.About the author:Swapnonil Banerjee has a Ph.D. in Physics from the University of California, Davis, and many years of teaching experience from K12 to university physics courses. He is passionate about simplifying complex ideas, which served as a primary motivation for writing this book.Swapnonil has extensive research experience in theoretical physics. He made important contributions to the study of a new material called semi-Dirac, in which electrons behave as non-relativistic, massive particles or effectively relativistic, massless particles depending on the direction of their movement. In one direction, the electron’s energy-momentum relationship is indicative of the electron’s having a definitive mass; in the orthogonal direction, the electron’s energy-momentum relationship indicates a surprising absence of mass.Swapnonil has also contributed to biotechnology, co-developing the Poisson Plus algorithm used for estimating the concentration of biomolecules via the digital PCR technique, and holds a patent for this work.Swapnonil has published in reputed journals including Nature Scientific Reports and Physical Review Letters.Swapnonil’s interests besides research and teaching include people and culture. He co-authored the historical fiction Deflected, a fast-paced, wartime romance based on the life of the nineteenth-century mathematician who calculated the height of Mount Everest and established it as the highest point on Earth.Email [email protected]: https://www.linkedin.com/in/swapnonil-banerjee-phd-5597553b/

Publisher	SwaNi
Publication date	November 8, 2023
Language	English
Print length	183 pages
ISBN-13	979-8986658582
Item Weight	9.1 ounces (257.99 grams)
Dimensions	6 x 0.42 x 9 inches (15.2 x 1.1 x 22.9 cm)

Hvem passer produktet for?

Beginner Students
Ideal for students new to quantum mechanics, offering fundamental insights and calculus-based explanations to ease understanding.
Self-Learners
Great for individuals pursuing self-directed learning in physics, providing clear examples and applications of path integrals.
Casual Learners
Perfect for casual learners interested in understanding complex topics without deep mathematical backgrounds, enhancing their knowledge of physics.

Advanced Physicists
Not suitable for experts or advanced students seeking in-depth analysis or mathematical rigor in path integrals and quantum physics.

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Mathematical Physics Editorial Review

**** Feynman's Path Integral Explained with Basic Calculus is receiving significant praise for its approachable and intuitive treatment of a challenging topic in quantum mechanics. The book is noted for making Feynman's path integral formulation accessible to those with a basic knowledge of calculus, effectively catering to learners who may feel daunted by more traditional texts. Reviewers commend the author for taking a meticulous approach, revealing derivations in full detail and clearly articulating mathematical concepts like the functional integral from the ground up. Readers appreciate that the text is not just a dry series of equations; it engages them with exercises and solutions that reinforce learning. The blend of rigorous mathematical exposition combined with practical application provides an enriching experience. Many reviewers cite it as an invaluable introduction, ideally suited for self-study. There’s a clear progression laid out for readers who may wish to deepen their knowledge by moving on to more advanced works after completing this one. While much of the feedback is overwhelmingly positive, a few readers have noted that the mathematical rigor declines toward the latter chapters, suggesting that some sections may require a more discerning readership to navigate comfortably. Despite this, the collective opinion strongest advocates emphasize the book's unique ability to elucidate complex subjects in an approachable manner, making it a standout companion to traditional texts on quantum mechanics. Overall, Feynman's Path Integral Explained has been hailed as a gem for both novices and seasoned students of physics, showcasing not just the mechanics of the path integral doctrine but also its conceptual connections with foundational theories in quantum physics, all while maintaining a pedagogical style that is both engaging and effective. **

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Fordeler

Accessible to readers with basic calculus knowledge
Thorough and careful explanations of complex concepts
Includes exercises and worked solutions for better understanding
Offers a solid foundation for further studies in quantum mechanics
Engaging and enjoyable writing style

Ulemper

Mathematical rigor may decline in later chapters

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Feynmans Path Integral explained with basic Calculus