A Mathematical Journey To Quantum Mechanics PDF Download
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Author | : Salvatore Capozziello |
Publisher | : Springer Nature |
Total Pages | : 294 |
Release | : 2021-09-27 |
Genre | : Science |
ISBN | : 3030860981 |
Download A Mathematical Journey to Quantum Mechanics Book in PDF, ePub and Kindle
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.
Author | : Leon Armenovich Takhtadzhi͡an |
Publisher | : American Mathematical Soc. |
Total Pages | : 410 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821846302 |
Download Quantum Mechanics for Mathematicians Book in PDF, ePub and Kindle
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 | : Wladimir-Georges Boskoff |
Publisher | : Springer Nature |
Total Pages | : 556 |
Release | : |
Genre | : |
ISBN | : 303154823X |
Download A Mathematical Journey to Relativity Book in PDF, ePub and Kindle
Author | : Stephen J. Gustafson |
Publisher | : Springer |
Total Pages | : 255 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642557295 |
Download Mathematical Concepts of Quantum Mechanics Book in PDF, ePub and Kindle
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
Author | : Transnational College of LEX. |
Publisher | : Wiley-Blackwell |
Total Pages | : 604 |
Release | : 1996 |
Genre | : Quantum theory |
ISBN | : |
Download What is Quantum Mechanics? Book in PDF, ePub and Kindle
Author | : Edward G. Steward |
Publisher | : Imperial College Press |
Total Pages | : 280 |
Release | : 2008 |
Genre | : Science |
ISBN | : 1860949770 |
Download Quantum Mechanics Book in PDF, ePub and Kindle
"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.
Author | : Emilio d'Emilio |
Publisher | : Springer |
Total Pages | : 383 |
Release | : 2017-03-02 |
Genre | : Science |
ISBN | : 3319532677 |
Download Problems in Quantum Mechanics Book in PDF, ePub and Kindle
This second edition of an extremely well-received book presents more than 250 nonrelativistic quantum mechanics problems of varying difficulty with the aim of providing students didactic material of proven value, allowing them to test their comprehension and mastery of each subject. The coverage is extremely broad, from themes related to the crisis of classical physics through achievements within the framework of modern atomic physics to lively debated, intriguing aspects relating to, for example, the EPR paradox, the Aharonov-Bohm effect, and quantum teleportation. Compared with the first edition, a variety of improvements have been made and additional topics of interest included, especially focusing on elementary potential scattering. The problems themselves range from standard and straightforward ones to those that are complex but can be considered essential because they address questions of outstanding importance or aspects typically overlooked in primers. The book offers students both an excellent tool for independent learning and a ready-reference guide they can return to later in their careers.
Author | : Max Lein |
Publisher | : World Scientific |
Total Pages | : 478 |
Release | : 2022-09-16 |
Genre | : Science |
ISBN | : 9811225397 |
Download A Mathematical Journey Through Differential Equations Of Physics Book in PDF, ePub and Kindle
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.
Author | : Leonard Susskind |
Publisher | : Basic Books (AZ) |
Total Pages | : 386 |
Release | : 2014-02-25 |
Genre | : Science |
ISBN | : 0465036678 |
Download Quantum Mechanics Book in PDF, ePub and Kindle
From the bestselling author of The Theoretical Minimum, a DIY introduction to the math and science of quantum physics First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics. In this follow-up to The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics’ weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area. Like The Theoretical Minimum, this volume runs parallel to Susskind’s eponymous Stanford University-hosted continuing education course. An approachable yet rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.
Author | : Richard Phillips Feynman |
Publisher | : |
Total Pages | : 0 |
Release | : 1965 |
Genre | : Quantum theory |
ISBN | : 9780071139489 |
Download Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs Book in PDF, ePub and Kindle