Salvatore Capozziello,Wladimir-Georges Boskoff
A Mathematical Journey to Quantum Mechanics
A Mathematical Journey to Quantum Mechanics
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This book provides a comprehensive introduction to quantum mechanics, covering basic mathematics and highlighting the relationship between physical concepts and mathematical tools. It discusses experiments such as the double-split, atomic spectra, and photoelectric effect and develops the Schrödinger equation and Heisenberg uncertainty principle. It is suitable for undergraduate students in Physics, Mathematics, Chemistry, and Engineering.
Format: Paperback / softback
Length: 289 pages
Publication date: 28 September 2022
Publisher: Springer Nature Switzerland AG
This comprehensive book serves as a guide to the realm of quantum mechanics, incorporating essential mathematics to shape its principles. It delves into the core experiments and postulates of quantum mechanics, highlighting their mathematical intricacies and demonstrating the profound interconnectedness of physical concepts and mathematical tools. The material encompasses a wide range of topics, including analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, the theory of light as formulated in special relativity, and the rationale behind the necessity of quantum mechanics in explaining phenomena such as the double-split, atomic spectra, and photoelectric effect. In-depth development of the Schrödinger equation and its solutions is undertaken, emphasizing the ability to extend advanced quantum mechanics from the concept of the harmonic oscillator. Furthermore, the mathematics underlying the Heisenberg uncertainty principle is constructed in the context of advanced quantum mechanical principles. Finally, relativistic quantum mechanics is explored. This book is specifically designed for undergraduate students enrolled in courses in physics, mathematics, chemistry, and engineering. Comprising 50 self-contained lectures, each statement and theorem is meticulously demonstrated, ensuring a clear understanding of the subject matter. It serves as a valuable companion to A Mathematical Journey to Relativity, also authored by the same authors and published by Springer in 2020.
Weight: 474g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030861001
Edition number: 1st ed. 2021
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