Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach PDF Download
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Author: Peter Enders
Publisher: Bentham Science Publishers
ISBN: 1681084503
Category : Science
Languages : en
Pages : 380
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Book Description
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..
Author: Peter Enders
Publisher: Bentham Science Publishers
ISBN: 1681084503
Category : Science
Languages : en
Pages : 380
Get Book Here
Book Description
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..
Author: Leon Armenovich Takhtadzhi͡an
Publisher: American Mathematical Soc.
ISBN: 0821846302
Category : Mathematics
Languages : en
Pages : 410
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Book Description
Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.
Author: Iraj R. Afnan
Publisher: Bentham Science Publishers
ISBN: 1608052508
Category : Science
Languages : en
Pages : 359
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Book Description
"The ebook introduces undergraduate students to the basic skills required to use non-relativistic quantum mechanics for bound and scattering problems in atomic, molecular and nuclear physics. Initial emphasis is on problems that admit analytic solutions. T"
Author: T. T. Taylor
Publisher: Elsevier
ISBN: 1483139980
Category : Science
Languages : en
Pages : 412
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Book Description
Mechanics: Classical and Quantum is a 13-chapter book that begins by explaining the Lagrangian and Hamiltonian formulation of mechanics. The Hamilton-Jacobi theory, historical background of the quantum theory, and wave mechanics are then described. Subsequent chapters discuss the time-independent Schrödinger equation and some of its applications; the operators, observables, and the quantization of a physical system; the significance of expectation values; and the concept of measurement in quantum mechanics. The matrix mechanics and the "hydrogenic atom", an atom in which one electron moves under the influence of a nucleus of charge that, to a very good approximation, can be thought of as a point, are also presented. This book will be very useful to students studying this field of interest.
Author: Malcolm Longair
Publisher: Cambridge University Press
ISBN: 1107017092
Category : Science
Languages : en
Pages : 463
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Book Description
Innovative account of the origins of quantum mechanics told from a historical perspective, for advanced undergraduates, graduate students and researchers.
Author: Helmut Haberzettl
Publisher: World Scientific
ISBN: 9811238294
Category : Science
Languages : en
Pages : 384
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Book Description
This textbook provides lecture materials of a comprehensive course in Classical Mechanics developed by the author over many years with input from students and colleagues alike. The richly illustrated book covers all major aspects of mechanics starting from the traditional Newtonian perspective, over Lagrangian mechanics, variational principles and Hamiltonian mechanics, rigid-body, and continuum mechanics, all the way to deterministic chaos and point-particle mechanics in special relativity. Derivation steps are worked out in detail, illustrated by examples, with ample explanations.Developed by a classroom practitioner, the book provides a comprehensive overview of classical mechanics with judicious material selections that can be covered in a one-semester course thus streamlining the instructor's task of choosing materials for their course. The usefulness for instructors notwithstanding, the primary aim of the book is to help students in their understanding, with detailed derivations and explanations, and provide focused guidance for their studies by repeatedly emphasizing how various topics are tied together by common physics principles.
Author: Hendrik F. Hameka
Publisher: John Wiley & Sons
ISBN: 0471654795
Category : Science
Languages : en
Pages : 208
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Book Description
A unique introductory text on quantum mechanics, from basic principles to historical perspective. * Includes description of the historical developments that led to the discovery of QM, often left out of other textbooks. * Emphasizes basic concepts that were essential in this discovery, placing them in context and making them more understandable to students. * Written in an easy-to-understand style and assuming no prior knowledge of the topic, this book provides a solid foundation for future study of quantum chemistry. * Includes problem sets for student use.
Author: Brian C. Hall
Publisher: Springer Science & Business Media
ISBN: 1461471168
Category : Science
Languages : en
Pages : 566
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Book Description
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Author: Steven Weinberg
Publisher: Cambridge University Press
ISBN: 1107028728
Category : Science
Languages : en
Pages : 379
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Book Description
"Ideally suited to a one-year graduate course, this textbook is also a useful reference for researchers. Readers are introduced to the subject through a review of the history of quantum mechanics and an account of classic solutions of the Schr.
Author: Claudio Garola
Publisher: World Scientific
ISBN: 9812773258
Category : Science
Languages : en
Pages : 373
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Book Description
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."
