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Titlebook: Relativistic and Non-Relativistic Quantum Mechanics; Both at Once Luis Grave de Peralta,Maricela Fernández Lozada,Ga Textbook 2023 The Edit

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书目名称Relativistic and Non-Relativistic Quantum Mechanics
副标题Both at Once
编辑Luis Grave de Peralta,Maricela Fernández Lozada,Ga
视频video
概述Incorporates special relativity at the outset.Offers a novel approach to QM that takes pedagogical, theoretical, and conceptual consequences into consideration.Explores a possible frontier between the
丛书名称Undergraduate Lecture Notes in Physics
图书封面Titlebook: Relativistic and Non-Relativistic Quantum Mechanics; Both at Once Luis Grave de Peralta,Maricela Fernández Lozada,Ga Textbook 2023 The Edit
描述.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
出版日期Textbook 2023
关键词Quantum Mechanics Undergraduate Textbook; Relativistic Quantum Mechanics; Klein-Gordon Equations; Non-R
版次1
doihttps://doi.org/10.1007/978-3-031-37073-1
isbn_softcover978-3-031-37075-5
isbn_ebook978-3-031-37073-1Series ISSN 2192-4791 Series E-ISSN 2192-4805
issn_series 2192-4791
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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The Wave Equation,t the analytical expression of the wave associated to a quantum particle, with mass m, could be calculated by solving the Schrödinger equation. This chapter provides a fast and traditional introduction to non-relativistic quantum mechanics.
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Other One-Dimensional Problems, of more realistic potentials. This chapter contains a novel and ambitious study of the consequences of special theory of relativity for quantum mechanics. This includes the study of the relativistic harmonic oscillator, and a pedagogical presentation of Klein’s paradox based on solving the Schrödinger-like PPGP equation for a step potential.
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978-3-031-37075-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Quantum Mechanics in Three Dimensions,Real quantum particles exist in a three-dimensional world. In this Chapter, we extend to three dimensions from the one-dimensional models discussed in previous Chapters. This includes a particle confined in a cubic infinite well, and a spinless relativistic particle in a Coulomb potential.
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Undergraduate Lecture Notes in Physicshttp://image.papertrans.cn/r/image/826248.jpg
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https://doi.org/10.1007/978-3-031-37073-1Quantum Mechanics Undergraduate Textbook; Relativistic Quantum Mechanics; Klein-Gordon Equations; Non-R
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