Title Relativistic and non-relativistic quantum mechanics : both at once / Luis Grave de Peralta, Maricela Fernández Lozada, Hira Farooq, Gage Eichman, Abhishek Singh, Gabrielle Prime

Published Cham, Switzerland : Springer, [2023]

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Description 1 online resource (xi, 170 pages) : illustrations Series Undergraduate lecture notes in physics, 2192-4805 Undergraduate lecture notes in physics, 2192-4805 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 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 Schrödinger-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 Includes bibliographical references Notes Description based on online resource; title from digital title page (viewed on October 11, 2023) Subject Quantum theory. Nonrelativistic quantum mechanics. Nonrelativistic quantum mechanics. Quantum theory. Form Electronic book Author Fernández Lozada, Maricela, author Farooq, Hira, author Eichman, Gage, author Singh, Abhishek, author Prime, Gabrielle, author ISBN 9783031370731 3031370732

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