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Salvatore Capozziello,Wladimir-Georges Boskoff

A Mathematical Journey to Quantum Mechanics

A Mathematical Journey to Quantum Mechanics

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  • More about A Mathematical Journey to Quantum Mechanics

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: Hardback
Length: 289 pages
Publication date: 28 September 2021
Publisher: Springer Nature Switzerland AG


This comprehensive book serves as a guide to the intricate world of quantum mechanics, seamlessly integrating fundamental mathematics to unravel its mysteries. It begins by outlining the main experiments and postulates of quantum mechanics, highlighting their mathematical intricacies and demonstrating the profound interconnectedness of physical concepts and mathematical tools. The material spans 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, paving the way for understanding advanced quantum mechanical principles.

Relativistic quantum mechanics is also explored, providing a deeper understanding of the realm of quantum mechanics in the context of relativity. The book is meticulously designed for undergraduate students enrolled in courses in physics, mathematics, chemistry, and engineering. Comprising 50 self-contained lectures, each statement and theorem is thoroughly demonstrated, ensuring a clear and comprehensive understanding of the subject matter.

As a companion to A Mathematical Journey to Relativity, published by Springer in 2020, this book offers a seamless continuation of the mathematical exploration, making it an invaluable resource for students seeking a deeper understanding of the fundamental principles of quantum mechanics.

Weight: 629g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030860974
Edition number: 1st ed. 2021

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