Overview
- Facilitates learning presenting each topic from elementary–intermediate level to advanced
- Shows that parallelism is continuously made between classical mechanics and quantum mechanics formalism
- Gives proofs of theorems with all details necessary to understand
Part of the book series: UNITEXT for Physics (UNITEXTPH)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (12 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: A Mathematical Journey to Quantum Mechanics
Authors: Salvatore Capozziello, Wladimir-Georges Boskoff
Series Title: UNITEXT for Physics
DOI: https://doi.org/10.1007/978-3-030-86098-1
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-86097-4Published: 28 September 2021
Softcover ISBN: 978-3-030-86100-1Published: 29 September 2022
eBook ISBN: 978-3-030-86098-1Published: 27 September 2021
Series ISSN: 2198-7882
Series E-ISSN: 2198-7890
Edition Number: 1
Number of Pages: XV, 289
Number of Illustrations: 10 illustrations in colour
Topics: Quantum Physics, Atomic/Molecular Structure and Spectra, Theoretical, Mathematical and Computational Physics, Functional Analysis