A Mathematical Journey To Quantum Mechanics
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A Mathematical Journey To Quantum Mechanics
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Author : Salvatore Capozziello
language : en
Publisher: Springer Nature
Release Date : 2021-09-27
A Mathematical Journey To Quantum Mechanics written by Salvatore Capozziello and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Science categories.
This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrödinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered.The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.
Mathematical Concepts Of Quantum Mechanics
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Author : Stephen J. Gustafson
language : en
Publisher: Springer
Release Date : 2012-12-06
Mathematical Concepts Of Quantum Mechanics written by Stephen J. Gustafson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The book gives a streamlined introduction to quantum mechanics and describes the basic mathematical structures underpinning it. From the reviews: "This book is an introduction to the mathematics of quantum mechanics....The strength of the book is where it shows how the mathematical treatment of quantum mechanics brings insights to physics....It will be useful to the experienced reader as a guide to the impressive recent advances in mathematical quantum mechanics." --SIAM REVIEW
Quantum Mechanics For Mathematicians
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Author : Leon Armenovich Takhtadzhi͡an
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
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 with Mathematical physics categories.
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.
A Mathematical Journey Through Differential Equations Of Physics
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Author : Max Lein
language : en
Publisher: World Scientific
Release Date : 2022-09-16
A Mathematical Journey Through Differential Equations Of Physics written by Max Lein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-16 with Science categories.
Mathematics is the language of physics, and over time physicists have developed their own dialect. The main purpose of this book is to bridge this language barrier, and introduce the readers to the beauty of mathematical physics. It shows how to combine the strengths of both approaches: physicists often arrive at interesting conjectures based on good intuition, which can serve as the starting point of interesting mathematics. Conversely, mathematicians can more easily see commonalities between very different fields (such as quantum mechanics and electromagnetism), and employ more advanced tools.Rather than focusing on a particular topic, the book showcases conceptual and mathematical commonalities across different physical theories. It translates physical problems to concrete mathematical questions, shows how to answer them and explains how to interpret the answers physically. For example, if two Hamiltonians are close, why are their dynamics similar?The book alternates between mathematics- and physics-centric chapters, and includes plenty of concrete examples from physics as well as 76 exercises with solutions. It exploits that readers from either end are familiar with some of the material already. The mathematics-centric chapters provide the necessary background to make physical concepts mathematically precise and establish basic facts. And each physics-centric chapter introduces physical theories in a way that is more friendly to mathematicians.As the book progresses, advanced material is sprinkled in to showcase how mathematics and physics augment one another. Some of these examples are based on recent publications and include material which has not been covered in other textbooks. This is to keep it interesting for the readers.
An Introductory Path To Quantum Theory
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Author : Stephen Bruce Sontz
language : en
Publisher: Springer Nature
Release Date : 2020-03-16
An Introductory Path To Quantum Theory written by Stephen Bruce Sontz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-16 with Science categories.
Since the 17th century, physical theories have been expressed in the language of mathematical equations. This introduction to quantum theory uses that language to enable the reader to comprehend the notoriously non-intuitive ideas of quantum physics. The mathematical knowledge needed for using this book comes from standard undergraduate mathematics courses and is described in detail in the section Prerequisites. This text is especially aimed at advanced undergraduate and graduate students of mathematics, computer science, engineering and chemistry among other disciplines, provided they have the math background even though lacking preparation in physics. In fact, no previous formal study of physics is assumed.
Quantum Mechanics Math Made Easy
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Author : Lalitha Nallmothula
language : en
Publisher: Lalitha Nallamothula
Release Date :
Quantum Mechanics Math Made Easy written by Lalitha Nallmothula and has been published by Lalitha Nallamothula this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
This book helps bridge the gap between theoretical understanding and the mathematical representation. It offers graduate-level introduction to quantum mechanical concepts in mathematics. This book is suitable for individual study for ease of learning. This book is inspired by the teachings of Dr. Bob Eagle on quantum mechanics.
A Mathematical Primer On Quantum Mechanics
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Author : Alessandro Teta
language : en
Publisher: Springer
Release Date : 2018-04-17
A Mathematical Primer On Quantum Mechanics written by Alessandro Teta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-17 with Science categories.
This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrödinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.
Quantum Mechanics
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Author : Edward G. Steward
language : en
Publisher: Imperial College Press
Release Date : 2008
Quantum Mechanics written by Edward G. Steward and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
"This book provides the reader with an explanation of the origin and establishment of quantum mechanics, with the mathematics in a digestible form, together with a descriptive survey of later developments up to the present day. The mathematical treatment closely follows the original treatment, but in modern terms, using uniform symbolism as much as possible and with simplifications (e.g. the use of one dimension instead of three) to avoid unnecessarily complicated-looking mathematics." "Containing an extensive bibliography and useful appendices as well as references to original works, reviews, and biographies, the reader is well-equipped to delve further into the subject. In addition to its importance for those studying physics, it is also valuable for those studying the history of science."--Jacket.
An Introduction To The Mathematical Structure Of Quantum Mechanics
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Author : F. Strocchi
language : en
Publisher: World Scientific
Release Date : 2008
An Introduction To The Mathematical Structure Of Quantum Mechanics written by F. Strocchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
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.
Mathematical Perspectives On Theoretical Physics
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Author : Nirmala Prakash
language : en
Publisher: Imperial College Press
Release Date : 2003
Mathematical Perspectives On Theoretical Physics written by Nirmala Prakash and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
Readership: Upper level undergraduates, graduate students, lecturers and researchers in theoretical, mathematical and quantum physics.