- Published Year: 1955
- Page count: 458
- File Size: 23 MB
- Language: English
- Published by: Princeton univ press
- Visited by: 63
- Rating/Review: 4.6
- ISBN: ISBN information not found.
تندتک
در این کانال تلگرام، مسعود بیگی، تجربیات خود را از دنیای تکنولوژی، استارتاپ، کارآفرینی و مدیریت فنی با شما به اشتراک می گذارد
Learn MoreMathematical Foundations of Quantum Mechanics
4.6
Reviews from our users
You Can Ask your questions from this book's AI after Login
Each download or ask from book AI costs 2 points. To earn more free points, please visit the Points Guide Page and complete some valuable actions.Introduction to 'Mathematical Foundations of Quantum Mechanics'
The book 'Mathematical Foundations of Quantum Mechanics', authored by John von Neumann, presents a rigorous and comprehensive treatment of the mathematical underpinnings of quantum theory. As a seminal work, it systematically delineates the mathematical structures that form the basis of quantum mechanics, offering insights into its complex principles and methodologies. This book is indispensable for those who seek a deep understanding of quantum mechanics beyond the superficial interpretative frameworks.
Detailed Summary
'Mathematical Foundations of Quantum Mechanics' was first published in 1932 and has since become a cornerstone in the study of quantum theory. John von Neumann, a towering figure in mathematics and physics, pioneered the use of operator theory and Hilbert spaces in quantum mechanics through this work. The book delves into the theoretical core of quantum mechanics by formalizing the concepts of state vectors and observables within a solid mathematical framework. Key topics include quantum states, the measurement process, and the dynamic evolution of systems. Von Neumann also addresses the controversial aspects of quantum mechanics, such as the nature of quantum measurements, by proposing the projection postulate that articulates the mathematical description of quantum state changes post-measurement.
Key Takeaways
- Establishment of a rigorous mathematical framework for quantum mechanics using Hilbert spaces.
- Formal introduction of operator theory as a fundamental component of quantum mechanics.
- Insight into the role of observables and measurement in the quantum domain.
- Development of probability and statistical mechanics as they relate to quantum theory.
- The projection postulate and its implications on quantum measurement.
Famous Quotes
"The mathematical straightening out of a physical theory is to be regarded as the way in which we experience this theory."
"The operator calculus was created, not in the abstract, but for the purpose of describing the observable characteristics of the concrete physical world."
Why This Book Matters
The significance of 'Mathematical Foundations of Quantum Mechanics' cannot be overstated. It is a work that bridges the gap between physical intuition and mathematical formalism, laying down the groundwork for modern quantum physics. Von Neumann's mathematical formalism has been instrumental in advancing our understanding of quantum mechanics, influencing generations of physicists and mathematicians. The clarity and precision with which von Neumann approaches quantum mechanics continue to inspire new interpretations and applications in quantum theory, making this book an essential read for anyone serious about foundational physics.
Free Direct Download
Get Free Access to Download this and other Thousands of Books (Join Now)
For read this book you need PDF Reader Software like Foxit Reader
