A Mathematical Journey to Quantum Mechanics (UNITEXT for Physics)

Artikelnummer: BG233061

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Beschrijving

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

Aanvullende informatie

Overzicht

auteur

Editie

1st ed. 2021 edition

Uitgever

Springer

Aantal pagina's

308

Publicatiedatum

2022-09-29

Verbindend

Paperback

ISBN13

9783030861001

ISBN10

B00IDA8BP0