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A Mathematical Journey to Quantum Mechanics

A Mathematical Journey to Quantum Mechanics

by Salvatore Capozziello and Wladimir-Georges Boskoff
Hardback
Publication Date: 28/09/2021

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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 Schroedinger 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.
ISBN:
9783030860974
9783030860974
Category:
Quantum physics (quantum mechanics & quantum field theory)
Format:
Hardback
Publication Date:
28-09-2021
Publisher:
Springer Nature Switzerland AG
Country of origin:
Switzerland
Pages:
289
Dimensions (mm):
235x155mm
Weight:
0.63kg

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