A Mathematical Journey to Quantum Mechanics

A Mathematical Journey to Quantum Mechanics
Author: Salvatore Capozziello
Publisher: Springer Nature
Total Pages: 294
Release: 2021-09-27
Genre: Science
ISBN: 3030860981

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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.


A Mathematical Journey to Quantum Mechanics
Language: en
Pages: 294
Authors: Salvatore Capozziello
Categories: Science
Type: BOOK - Published: 2021-09-27 - Publisher: Springer Nature

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This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments a
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Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical fou
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Pages: 361
Authors: Emilio d'Emilio
Categories: Science
Type: BOOK - Published: 2012-02-28 - Publisher: Springer Science & Business Media

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