A Mathematical Journey to Quantum Mechanics
stb 2021 · Springer Nature
E-book
289
Pages
reportLes notes et avis ne sont pas vérifiés. En savoir plus
À propos de cet e-book
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.
À propos de l'auteur
Wladimir-Georges Boskoff graduated at Faculty of Mathematics of the University of Bucharest in 1982 - PhD in 1994. Since 1990, he became Member of the Department of Mathematics and Informatics of Ovidius University of Constanta providing courses in Euclidean Geometry, Differential Geometry, Calculus on Manifolds, Mechanics and Relativity, Astronomy, History of Mathematics, Basic Quantum Mechanics, etc. Among his previous books, "A Mathematical Journey to Relativity" with Salvatore Capozziello, Springer, 2020, and "Discovering Geometry: An Axiomatic Approach" with Adrian Vijiac, Matrixrom, 2011/2014.
Salvatore Capozziello is Full Professor in Astronomy and Astrophysics at the Department of Physics of University of Naples "Federico II" and Former President of the Italian Society for General Relativity and Gravitation (SIGRAV). Since 2013, he is Professor Honoris Causa at the Tomsk State Pedagogical University (TSPU), Russian Federation. His scientific activity is devoted to research topics in general relativity, cosmology, relativistic astrophysics, and physics of gravitation in their theoretical and phenomenological aspects. His research interests are extended theories of gravity and their cosmological and astrophysical applications; large-scale structure of the universe; gravitational lensing; gravitational waves; galactic dynamics; quantum phenomena in a gravitational field; quantum cosmology. He published almost 600 scientific papers and 5 books.
Salvatore Capozziello is Full Professor in Astronomy and Astrophysics at the Department of Physics of University of Naples "Federico II" and Former President of the Italian Society for General Relativity and Gravitation (SIGRAV). Since 2013, he is Professor Honoris Causa at the Tomsk State Pedagogical University (TSPU), Russian Federation. His scientific activity is devoted to research topics in general relativity, cosmology, relativistic astrophysics, and physics of gravitation in their theoretical and phenomenological aspects. His research interests are extended theories of gravity and their cosmological and astrophysical applications; large-scale structure of the universe; gravitational lensing; gravitational waves; galactic dynamics; quantum phenomena in a gravitational field; quantum cosmology. He published almost 600 scientific papers and 5 books.
Donner une note à cet e-book
Dites-nous ce que vous en pensez.
Informations sur la lecture
Smartphones et tablettes
Installez l'application Google Play Livres pour Android et iPad ou iPhone. Elle se synchronise automatiquement avec votre compte et vous permet de lire des livres en ligne ou hors connexion, où que vous soyez.
Ordinateurs portables et de bureau
Vous pouvez écouter les livres audio achetés sur Google Play à l'aide du navigateur Web de votre ordinateur.
Liseuses et autres appareils
Pour lire sur des appareils e-Ink, comme les liseuses Kobo, vous devez télécharger un fichier et le transférer sur l'appareil en question. Suivez les instructions détaillées du Centre d'aide pour transférer les fichiers sur les liseuses compatibles.
