Quantum Theory For Math Enthusiasts
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Quantum Theory For Math Enthusiasts
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Author : Sanjay Nair
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Quantum Theory For Math Enthusiasts written by Sanjay Nair and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Quantum Theory for Math Enthusiasts" is tailored for undergraduate students with a strong mathematical background who wish to explore the profound connections between mathematics and quantum mechanics. We offer a comprehensive yet accessible introduction to the mathematical foundations of quantum mechanics. Starting with fundamental concepts from linear algebra, functional analysis, and probability theory, we gradually build the mathematical toolkit necessary to understand quantum theory. Through clear explanations, illustrative examples, and exercises, students will develop a solid understanding of Hilbert spaces, operators, eigenvalues, and other key mathematical structures underpinning quantum mechanics. We also explore advanced topics such as symmetry groups, Lie algebras, and representation theory, shedding light on the profound mathematical structures inherent in quantum theory. Whether you're a mathematics major interested in theoretical physics or a physics student looking to deepen your mathematical understanding, our book provides the foundation to appreciate the beauty and elegance of quantum theory from a mathematical perspective.
Physics For Mathematicians
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Author : Michael Spivak
language : en
Publisher:
Release Date : 2010
Physics For Mathematicians written by Michael Spivak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mechanics categories.
Quantum Mechanics For Mathematicians
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Author : Leon Armenovich Takhtadzhi͡an
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-01-01
Quantum Mechanics For Mathematicians written by Leon Armenovich Takhtadzhi͡an and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
"This book is written in a concise style with careful attention to precise mathematics formulation of methods and results. Numerous problems, from routine to advanced, help the reader to master the subject. In addition to providing a fundamental knowledge of quantum mechanics, this book could also serve as a bridge for studying more advanced topics in quantum physics, among them quantum field theory."--BOOK JACKET.
Quantum Physics For Dummies
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Author : Steven Holzner
language : en
Publisher: John Wiley & Sons
Release Date : 2012-08-20
Quantum Physics For Dummies written by Steven Holzner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-20 with Science categories.
Your plain-English guide to understanding and working with the micro world Quantum Physics For Dummies, Revised Edition helps make quantum physics understandable and accessible. From what quantum physics can do for the world to understanding hydrogen atoms, readers will get complete coverage of the subject, along with numerous examples to help them tackle the tough equations. Compatible with classroom text books and courses, Quantum Physics For Dummies, Revised Edition lets students study at their own paces and helps them prepare for graduate or professional exams. Coverage includes: The Schrodinger Equation and its Applications The Foundations of Quantum Physics Vector Notation Spin Scattering Theory, Angular Momentum, and more Quantum physics — also called quantum mechanics or quantum field theory — can be daunting for even the most dedicated student or enthusiast of science, math, or physics. This friendly, concise guide makes this challenging subject understandable and accessible, from atoms to particles to gases and beyond. Plus, it's packed with fully explained examples to help you tackle the tricky equations like a pro! Compatible with any classroom course — study at your own pace and prepare for graduate or professional exams Your journey begins here — understand what quantum physics is and what kinds of problems it can solve Know the basic math — from state vectors to quantum matrix manipulations, get the foundation you need to proceed Put quantum physics to work — make sense of Schrödinger's equation and handle particles bound in square wells and harmonic oscillators Solve problems in three dimensions — use the full operators to handle wave functions and eigenvectors to find the natural wave functions of a system Discover the latest research — learn the cutting-edge quantum physics theories that aim to explain the universe itself
Quantum Theory
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Author : Peter Bongaarts
language : en
Publisher: Springer
Release Date : 2014-12-01
Quantum Theory written by Peter Bongaarts and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-01 with Science categories.
This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which makes it easy for mathematicians to understand their basic features. It is a textbook on quantum theory intended for advanced undergraduate or graduate students: mathematics students interested in modern physics, and physics students who are interested in the mathematical background of physics and are dissatisfied with the level of rigor in standard physics courses. More generally, it offers a valuable resource for all mathematicians interested in modern physics, and all physicists looking for a higher degree of mathematical precision with regard to the basic concepts in their field.
A Modern Approach To Quantum Mechanics
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Author : John S. Townsend
language : en
Publisher: University Science Books
Release Date : 2000
A Modern Approach To Quantum Mechanics written by John S. Townsend and has been published by University Science Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
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.
Quantum Riemannian Geometry
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Author : Edwin J. Beggs
language : en
Publisher: Springer Nature
Release Date : 2020-01-31
Quantum Riemannian Geometry written by Edwin J. Beggs and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-31 with Science categories.
This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now possibly noncommutative, rather than to actual points. Such a theory is needed for the geometry of Hopf algebras or quantum groups, which provide key examples, as well as in physics to model quantum gravity effects in the form of quantum spacetime. The mathematical formalism can be applied to any algebra and includes graph geometry and a Lie theory of finite groups. Even the algebra of 2 x 2 matrices turns out to admit a rich moduli of quantum Riemannian geometries. The approach taken is a `bottom up’ one in which the different layers of geometry are built up in succession, starting from differential forms and proceeding up to the notion of a quantum `Levi-Civita’ bimodule connection, geometric Laplacians and, in some cases, Dirac operators. The book also covers elements of Connes’ approach to the subject coming from cyclic cohomology and spectral triples. Other topics include various other cohomology theories, holomorphic structures and noncommutative D-modules. A unique feature of the book is its constructive approach and its wealth of examples drawn from a large body of literature in mathematical physics, now put on a firm algebraic footing. Including exercises with solutions, it can be used as a textbook for advanced courses as well as a reference for researchers.
Quantum Field Theory
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Author : G. B. Folland
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-08-26
Quantum Field Theory written by G. B. Folland and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-26 with Mathematics categories.
Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam-Weinberg model of electromagnetic and weak interactions.
Quantum Physics
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Author : Marc Humphrey
language : en
Publisher: Penguin
Release Date : 2015-01-06
Quantum Physics written by Marc Humphrey and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-06 with Science categories.
Quantum physics explores the behavior of matter and energy at the molecular, atomic, nuclear, and even smaller levels. Idiot's Guides: Quantum Physics explores this very complex topic, while making it easy-to-understand for science enthusiasts and students alike. It skips the complicated math and dives right in to all of the concepts, paradoxes, and implications that make quantum physics so fascinating. Topics include quantum vs. classical physics, the famous double-slit experiment, quantum wave function, the Heisenberg Uncertainty Principle, the Schrodinger's cat thought experiment, quantum entanglement, competing interpretations, quantum gravity, and much more.
Quantum Physics For Dummies
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Author : Steven Holzner
language : en
Publisher: John Wiley & Sons
Release Date : 2013-01-29
Quantum Physics For Dummies written by Steven Holzner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-29 with Science categories.
Your plain-English guide to understanding and working with the micro world Quantum Physics For Dummies, Revised Edition helps make quantum physics understandable and accessible. From what quantum physics can do for the world to understanding hydrogen atoms, readers will get complete coverage of the subject, along with numerous examples to help them tackle the tough equations. Compatible with classroom text books and courses, Quantum Physics For Dummies, Revised Edition lets students study at their own paces and helps them prepare for graduate or professional exams. Coverage includes: The Schrodinger Equation and its Applications The Foundations of Quantum Physics Vector Notation Spin Scattering Theory, Angular Momentum, and more Quantum physics — also called quantum mechanics or quantum field theory — can be daunting for even the most dedicated student or enthusiast of science, math, or physics. This friendly, concise guide makes this challenging subject understandable and accessible, from atoms to particles to gases and beyond. Plus, it's packed with fully explained examples to help you tackle the tricky equations like a pro! Compatible with any classroom course — study at your own pace and prepare for graduate or professional exams Your journey begins here — understand what quantum physics is and what kinds of problems it can solve Know the basic math — from state vectors to quantum matrix manipulations, get the foundation you need to proceed Put quantum physics to work — make sense of Schrödinger's equation and handle particles bound in square wells and harmonic oscillators Solve problems in three dimensions — use the full operators to handle wave functions and eigenvectors to find the natural wave functions of a system Discover the latest research — learn the cutting-edge quantum physics theories that aim to explain the universe itself