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Introduction To The Maths And Physics Of Quantum Mechanics
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Book Synopsis Mathematics of Classical and Quantum Physics by : Frederick W. Byron
Download or read book Mathematics of Classical and Quantum Physics written by Frederick W. Byron and published by Courier Corporation. This book was released on 2012-04-26 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Book Synopsis Introduction to the Maths and Physics of Quantum Mechanics by : Lucio Piccirillo
Download or read book Introduction to the Maths and Physics of Quantum Mechanics written by Lucio Piccirillo and published by CRC Press. This book was released on 2023-10-04 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Maths and Physics of Quantum Mechanics details the mathematics and physics that are needed to learn the principles of quantum mechanics. It provides an accessible treatment of how to use quantum mechanics and why it is so successful in explaining natural phenomena. This book clarifies various aspects of quantum physics such as ‘why quantum mechanics equations contain “I”, the imaginary number?’, ‘Is it possible to make a transition from classical mechanics to quantum physics without using postulates?’ and ‘What is the origin of the uncertainty principle?’. A significant proportion of discussion is dedicated to the issue of why the wave function must be complex to properly describe our “real” world. The book also addresses the different formulations of quantum mechanics. A relatively simple introductory treatment is given for the “standard” Heisenberg matrix formulation and Schrodinger wave-function formulation and Feynman path integrals and second quantization are then discussed. This book will appeal to first- and second-year university students in physics, mathematics, engineering and other sciences studying quantum mechanics who will find material and clarifications not easily found in other textbooks. It will also appeal to self-taught readers with a genuine interest in modern physics who are willing to examine the mathematics and physics in a simple but rigorous way. Key Features: Written in an engaging and approachable manner, with fully explained mathematics and physics concepts Suitable as a companion to all introductory quantum mechanics textbooks Accessible to a general audience
Book Synopsis Quantum Theory for Mathematicians by : Brian C. Hall
Download or read book Quantum Theory for Mathematicians written by Brian C. Hall and published by Springer Science & Business Media. This book was released on 2013-06-19 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Physics of Quantum Mechanics by : James Binney
Download or read book The Physics of Quantum Mechanics written by James Binney and published by Oxford University Press, USA. This book was released on 2013-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.
Book Synopsis Quantum Mechanics for Mathematicians by : Leon Armenovich Takhtadzhi͡an
Download or read book Quantum Mechanics for Mathematicians written by Leon Armenovich Takhtadzhi͡an and published by American Mathematical Soc.. This book was released on 2008 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lectures on Quantum Mechanics for Mathematics Students by : L. D. Faddeev
Download or read book Lectures on Quantum Mechanics for Mathematics Students written by L. D. Faddeev and published by American Mathematical Soc.. This book was released on 2009 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.
Book Synopsis What is Quantum Mechanics? by : Transnational College of LEX.
Download or read book What is Quantum Mechanics? written by Transnational College of LEX. and published by Wiley-Blackwell. This book was released on 1996 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Quantum Mechanics by : David J. Griffiths
Download or read book Introduction to Quantum Mechanics written by David J. Griffiths and published by Cambridge University Press. This book was released on 2019-11-20 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Changes and additions to the new edition of this classic textbook include a new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, and consolidated treatment of time-dependent potentials.
Book Synopsis Introduction to Quantum Mechanics by : A. C. Phillips
Download or read book Introduction to Quantum Mechanics written by A. C. Phillips and published by John Wiley & Sons. This book was released on 2013-05-20 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Quantum Mechanics is an introduction to the power and elegance of quantum mechanics. Assuming little in the way of prior knowledge, quantum concepts are carefully and precisely presented, and explored through numerous applications and problems. Some of the more challenging aspects that are essential for a modern appreciation of the subject have been included, but are introduced and developed in the simplest way possible. Undergraduates taking a first course on quantum mechanics will find this text an invaluable introduction to the field and help prepare them for more advanced courses. Introduction to Quantum Mechanics: * Starts from basics, reviewing relevant concepts of classical physics where needed. * Motivates by considering weird behaviour of quantum particles. * Presents mathematical arguments in their simplest form.
Book Synopsis A Modern Approach to Quantum Mechanics by : John S. Townsend
Download or read book A Modern Approach to Quantum Mechanics written by John S. Townsend and published by University Science Books. This book was released on 2000 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical and pedagogically sound. This book covers all the topics that are typically presented in a standard upper-level course in quantum mechanics, but its teaching approach is new. Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems it gives students straightfoward examples of the structure of quantum mechanics. When wave mechanics is introduced later, students should perceive it correctly as only one aspect of quantum mechanics and not the core of the subject.
Book Synopsis An Introduction to the Mathematical Structure of Quantum Mechanics by : F. Strocchi
Download or read book An Introduction to the Mathematical Structure of Quantum Mechanics written by F. Strocchi and published by World Scientific. This book was released on 2008 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arising out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students, this book formulates the mathematical structure of QM in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables.
Book Synopsis Quantum Mechanics by : Walter Greiner
Download or read book Quantum Mechanics written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book gives a solid understanding of the basic concepts and results of quantum mechanics including the historical background and philosophical questions...Many worked examples serve to illustrate the material while biographical and historical footnotes round off the content." Zentralblatt MATH
Book Synopsis An Introduction to the Mathematical Structure of Quantum Mechanics by : F Strocchi
Download or read book An Introduction to the Mathematical Structure of Quantum Mechanics written by F Strocchi and published by World Scientific Publishing Company. This book was released on 2005-11-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac–Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C–-algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert space vectors and operators is then derived from the GNS and Gelfand-Naimark Theorems. For finite degrees of freedom, the Weyl algebra codifies the experimental limitations on the measurements of position and momentum (Heisenberg uncertainty relations) and Schroedinger QM follows from the von Neumann uniqueness theorem. The existence problem of the dynamics is related to the self-adjointness of the differential operator describing the Hamiltonian and solved by the Rellich–Kato theorems. Examples are discussed which include the explanation of the discreteness of the atomic spectra. Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman–Kac formula), the formulation in terms of ground state correlations (Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle as an example of the interplay between topology and functional integral is also discussed in detail.
Book Synopsis Mathematics for Quantum Mechanics by : John David Jackson
Download or read book Mathematics for Quantum Mechanics written by John David Jackson and published by Courier Corporation. This book was released on 2012-03-08 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced undergraduates and graduate students studying quantum mechanics will find this text a valuable guide to mathematical methods. Emphasizing the unity of a variety of different techniques, it is enduringly relevant to many physical systems outside the domain of quantum theory. Concise in its presentation, this text covers eigenvalue problems in classical physics, orthogonal functions and expansions, the Sturm-Liouville theory and linear operators on functions, and linear vector spaces. Appendixes offer useful information on Bessel functions and Legendre functions and spherical harmonics. This introductory text's teachings offer a solid foundation to students beginning a serious study of quantum mechanics.
Book Synopsis Quantum Mechanics and Experience by : David Z. ALBERT
Download or read book Quantum Mechanics and Experience written by David Z. ALBERT and published by Harvard University Press. This book was released on 2009-06-30 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This account of the foundations of quantum mechanics is an introduction accessible to anyone with high school mathematics, and provides a rigorous discussion of important recent advances in the understanding of quantum physics, including theories put forward by the author himself.
Book Synopsis An Introduction to Quantum Theory by : J Greensite
Download or read book An Introduction to Quantum Theory written by J Greensite and published by Myprint. This book was released on 2017-02-17 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Physics And Quantum Mechanics For Beginners by : Donald B Grey
Download or read book Quantum Physics And Quantum Mechanics For Beginners written by Donald B Grey and published by Han Global Trading Pte Limited. This book was released on 2020-10-13 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you intrigued by quantum physics, but turned off by the complexities, the mathematics and the formulas? Did your education in mathematics and physics leave you with more questions than answers? Are you fascinated by the universe, and want to know about its basic components? If so, these may be the questions you want answers to: ❏ Do you want to learn about the giants of quantum theory, including Max Planck and Albert Einstein? Do you want to get in on the inspiring Bohr-Einstein debates on a "grand unifying theory" to bring together quantum mechanics and general relativity theory? ❏ Is it possible to look inside the atom, deep inside protons and neutrons to discover the quarks that give these particles their electromagnetic charge? ❏ Is wave-particle duality a real phenomenon? Can light be both a wave and a particle? ❏ How about the dark sector - the dark matter and dark energy that make up 95% of the universe? Could ghostly neutrinos solve the mystery? ❏ Do you want to know about string and superstring theory, and whether strings can unify the four known forces in a unified field theory? ❏ What about Schrödinger's famous cat experiment? Can a particle be in two places at once? Can a cat be both dead and alive? ❏ How about the concept of entanglement, with particles interacting at a distance? How do entanglement and superposition make quantum computing possible? ❏ Are we alone in our universe, or are there parallel universes "out there" that may have copies of ourselves? Theories on the idea of a multiverse are creative, and maybe close to reality. Or, maybe not. If these questions are your questions, you are in the right place. This book was written to make quantum physics clear and understandable for those who find the study of math and science challenging. Come share in the amazing discoveries that are defining the subatomic world within the vast, expanding universe and everything it contains. We'll begin at the beginning with the Big Bang, 13.8 billion years ago, and conclude with quantum mechanics' most recent breakthrough, the confirming discovery of the elusive Higgs boson. Ready? Let's begin the exploration of quantum science, and have a good time along the way.
