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Title
A mathematical journey to quantum mechanics / Salvatore Capozziello, Wladimir-Georges Boskoff.
ISBN
9783030860981 (electronic bk.)
3030860981 (electronic bk.)
9783030860974
3030860973
Published
Cham, Switzerland : Springer, 2021.
Language
English
Description
1 online resource
Other Standard Identifiers
10.1007/978-3-030-86098-1 doi
Call Number
QC174.12
Dewey Decimal Classification
530.12
Summary
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 Schrodinger 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
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Access limited to authorized users.
Source of Description
Vendor-supplied metadata.
Series
UNITEXT for physics.
Introduction: How to read this book
Newtonian, Lagrangian and Hamiltonian Mechanics
Can Light be described by Classical Mechanics?
Why Quantum Mechanics?
The Schrodinger Equations and Their Consequences
The Mathematics behind the Harmonic Oscillator
From Monochromatic Plane Waves to Wave Packets
The Heisenberg Uncertainty Principle and the Mathematics behind
The Principles of Quantum Mechanics
Consequences of Quantum Mechanics Principles
Quantum Mechanics at the Next Level
Conclusions.
