Overview
- Introduces the Quantum Principle, which encodes the entire theoretical construction of quantum mechanics
- Explains the counter-intuitive construction of the nature of the mathematical techniques required to solve quantum mechanics equations
- Clarifies the implicit meaning of the symbols and operations of quantum mechanics and leads to a deeper understanding of its foundations
- A new theoretical framework based on the interplay of empirical and trans-empirical aspects of quantum mechanics is developed to explain the paradoxes of quantum mechanics
- All the discussions are carried out at a rigorous level employing the mathematics of quantum mechanics
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Table of contents (12 chapters)
Keywords
About this book
The Theoretical Foundations of Quantum Mechanics addresses fundamental issues that are not discussed in most books on quantum mechanics. This book focuses on analyzing the underlying principles of quantum mechanics and explaining the conceptual and theoretical underpinning of quantum mechanics. In particular, the concepts of quantum indeterminacy, quantum measurement and quantum superposition are analyzed to clarify the concepts that are implicit in the formulation of quantum mechanics.
The Schrodinger equation is never solved in the book. Rather, the discussion on the fundamentals of quantum mechanics is treated in a rigorous manner based on the mathematics of quantum mechanics. The new concept of the interplay of empirical and trans-empirical constructs in quantum mechanics is introduced to clarify the foundations of quantum mechanics and to explain the counter-intuitive construction of nature in quantum mechanics.
The Theoretical Foundations of Quantum Mechanics is aimed at the advanced undergraduate and assumes introductory knowledge of quantum mechanics. Its objective is to provide a solid foundation for the reader to reach a deeper understanding of the principles of quantum mechanics.
Reviews
From the reviews:
“The material … is presented in a detailed and coherent fashion, leading from basic concepts to modern developments, including, e.g., quantum entropies, Bell inequalities, the Mach-Zehnder interferometer, quantum eraser, the process of measurement, and others. … serve as an introduction for advanced undergraduate students of physics who have already been exposed to a quantum mechanics course, or for more advanced students and researchers from other fields who are interested in learning about these matters.” (Hans-Thomas Elze, Mathematical Reviews, March, 2014)
“The book under present review is an extremely interesting, informative and inspiring, unique addition to the existing wealth of monographs and texts on QM and related areas of Physics literature. … This is a remarkable creation of a brilliant expert, experienced brain brought in a very fascinating style where by the fundamental foundations of QM, the basis of the building blocks of matter and radiation can and will hopefully be better understood and appreciated.” (Paninjukunnath Achuthan, zbMATH, Vol. 1272, 2013)Authors and Affiliations
About the author
Bibliographic Information
Book Title: The Theoretical Foundations of Quantum Mechanics
Authors: Belal E. Baaquie
DOI: https://doi.org/10.1007/978-1-4614-6224-8
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-6223-1
Softcover ISBN: 978-1-4899-9411-0
eBook ISBN: 978-1-4614-6224-8
Edition Number: 1
Number of Pages: XII, 268
Topics: Quantum Physics, Mathematical Physics, Quantum Optics, Mathematical Applications in the Physical Sciences, History and Philosophical Foundations of Physics