Classical Mechanics And Quantum Mechanics An Historic Axiomatic Approach
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Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach
Author: Peter Enders
language: en
Publisher: Bentham Science Publishers
Release Date: 2019-09-05
This unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler’s and Helmholtz’s rather than Newton’s or Hamilton’s representations. Special attention is given to the common attributes rather than to the differences between classical and quantum mechanics. Readers will also learn about Schrödinger’s forgotten demands on quantization, his equation, Einstein’s idea of ‘quantization as selection problem’. The Schrödinger equation is derived without any assumptions about the nature of quantum systems, such as interference and superposition, or the existence of a quantum of action, h. The use of the classical expressions for the potential and kinetic energies within quantum physics is justified. Key features: · Presents extensive reference to original texts. · Includes many details that do not enter contemporary representations of classical mechanics, although these details are essential for understanding quantum physics. · Contains a simple level of mathematics which is seldom higher than that of the common (Riemannian) integral. · Brings information about important scientists · Carefully introduces basic equations, notations and quantities in simple steps This book addresses the needs of physics students, teachers and historians with its simple easy to understand presentation and comprehensive approach to both classical and quantum mechanics..
Foundations and Interpretation of Quantum Mechanics
The aim of this book is twofold: to provide a comprehensive account of the foundations of the theory and to outline a theoretical and philosophical interpretation suggested from the results of the last twenty years.There is a need to provide an account of the foundations of the theory because recent experience has largely confirmed the theory and offered a wealth of new discoveries and possibilities. On the other side, the following results have generated a new basis for discussing the problem of the interpretation: the new developments in measurement theory; the experimental generation of ?Schrdinger cats?; recent developments which allow, for the first time, the simultaneous measurement of complementary observables; quantum information processing, teleportation and computation.To accomplish this task, the book combines historical, systematic and thematic approaches.
The Foundations of Quantum Mechanics, Historical Analysis and Open Questions - Cesena 2004
This volume provides a unique overview of recent Italian studies on the foundations of quantum mechanics and related historical, philosophical and epistemological topics. A gathering of scholars from diverse cultural backgrounds, the conference provided a forum for a fascinating exchange of ideas and perspectives on a range of open questions in quantum mechanics. The varied nature of the papers in this volume attests to the achievement of that aim with many contributions providing original solutions to established problems by taking into account recommendations from different disciplines. Contents: If Bertlmann had Three Feet (A Afriat); Macroscopic Interpretability of Quantum Component Systems (R Ascoli); Entanglement State Preparation in Experiments on Quantum Non-Locality (V Berardi & A Garuccio); Mathematics and Epistemology in Planck''s Theoretical Work (1898OCo1915) (P Campogalliani); The Electromagnetic Conception of Nature and the Origins of Quantum Physics (E A Giannetto); An Objective Background for Quantum Theory Relaying on Thermodynamic Concepts (L Lanz & B Vacchini); The Entrance of Quantum Mechanics in Italy: From Garbasso to Fermi (M Leone & N Robotti); Antonio Gramsci''s Reflection on Quantum Mechanics (I Tassani); The Role of Logic and Mathematics in the Heisenberg Formulation of Quantum Mechanics (A Venezia); Space-Time at the Planck Scale: The Quantum Computer View (P A Zizzi); and other papers. Readership: Physicists interested in the foundation of quantum mechanics; historians interested in the history and development of modern physics; philosophers interested in the epistemology and philosophy of modern physics."