Relativistic and non-relativistic quantum mechanics : both at once / Luis Grave de Peralta, Maricela Fernǹdez Lozada, Hira Farooq, Gage Eichman, Abhishek Singh, Gabrielle Prime.
2023
QC174.12
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Title
Relativistic and non-relativistic quantum mechanics : both at once / Luis Grave de Peralta, Maricela Fernǹdez Lozada, Hira Farooq, Gage Eichman, Abhishek Singh, Gabrielle Prime.
ISBN
9783031370731 (electronic bk.)
3031370732 (electronic bk.)
9783031370724
3031370724
3031370732 (electronic bk.)
9783031370724
3031370724
Published
Cham : Springer, 2023.
Language
English
Description
1 online resource (xi, 170 pages) : illustrations.
Item Number
10.1007/978-3-031-37073-1 doi
Call Number
QC174.12
Dewey Decimal Classification
530.12
Summary
Currently, relativistic quantum mechanics is considered an advanced topic only accessible to students who have already received considerable training in non-relativistic quantum mechanics. However, the authors believe that they have found an excellent pedagogic approach for simultaneously introducing both topics. This book is considered an Introductory Quantum Mechanics textbook that presents relativistic quantum mechanics to interested learners with no previous knowledge of it. The authors avoid utilization of the well-known Lorentz invariant equations. Additionally, they only refer to the Klein-Gordon and Dirac equations to justify the use of the Poveda-Poirier-Grave de Peralta (PPGP) equations, upon which this book is solely based (while sporadically referring to well-known results obtained using the Klein-Gordon and Dirac equations to avoid unnecessary complications in an introductory book). There also exist two complementary Schrd̲inger-like and Pauli-like PPGP equations, the solutions of which are identical to the respective solutions of the Klein-Gordon and Dirac equations associated with negative kinetic energies. These equations? relation to the existence of antiparticles is discussed. The intended readership is undergraduate physics, chemistry, and engineering students with no previous knowledge of quantum mechanics, as well as graduate students and professionals interested in the subject.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 7, 2023).
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Series
Undergraduate lecture notes in physics.
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Table of Contents
The Need for Quantum Mechanics
The Wave Equation
Introducing Relativity in Quantum Mechanics
Other One-Dimensional Problems
Quantum Mechanics in Three Dimensions
Angular Momentum
Identical Particles
Some Consequences of Relativity for Quantum Mechanics.
The Wave Equation
Introducing Relativity in Quantum Mechanics
Other One-Dimensional Problems
Quantum Mechanics in Three Dimensions
Angular Momentum
Identical Particles
Some Consequences of Relativity for Quantum Mechanics.