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A mathematical journey to quantum me...

Capozziello, Salvatore.

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A mathematical journey to quantum mechanics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A mathematical journey to quantum mechanics/ by Salvatore Capozziello, Wladimir-Georges Boskoff.
作者:	Capozziello, Salvatore.
其他作者:	Boskoff, Wladimir-Georges.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xv, 289 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Quantum theory - Mathematical models. -
電子資源:	https://doi.org/10.1007/978-3-030-86098-1
ISBN:	9783030860981

A mathematical journey to quantum mechanics
Capozziello, Salvatore.

A mathematical journey to quantum mechanics[electronic resource] /by Salvatore Capozziello, Wladimir-Georges Boskoff. - Cham :Springer International Publishing :2021. - xv, 289 p. :ill., digital ;24 cm. - UNITEXT for physics,2198-7890. - 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.

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.

ISBN: 9783030860981

Standard No.: 10.1007/978-3-030-86098-1doiSubjects--Topical Terms:

612475
Quantum theory
--Mathematical models.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

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245 1 2 $a A mathematical journey to quantum mechanics $h [electronic resource] / $c by Salvatore Capozziello, Wladimir-Georges Boskoff.
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505 0 $a 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.
520 $a 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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