Quantum mechanics : an enhanced primer / Bruce Cameron Reed.

Quantum mechanics is one of the most fascinating elements of the physics curriculum, but its conceptual nuances and mathematical complexity can be daunting for beginning students. This user-friendly text is designed for a one-semester course which bridges the gap between sophomore-level treatments a...

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Bibliographic Details
Main Author: Reed, Bruce Cameron
Format: eBook
Language:English
Published: Cham : Springer, 2022.
Edition:Second edition.
Subjects:
Online Access:Click for online access

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520 |a Quantum mechanics is one of the most fascinating elements of the physics curriculum, but its conceptual nuances and mathematical complexity can be daunting for beginning students. This user-friendly text is designed for a one-semester course which bridges the gap between sophomore-level treatments and advanced undergraduate/lower-graduate courses. Qualitative explanations and descriptions of historical background are combined with detailed mathematical analyses to help students establish a firm foundation for further study. Classical problems such potential wells, barrier penetration, alpha decay, the harmonic oscillator, and the hydrogen atom are examined in detail, and formalisms and techniques such as operators, expectation values, commutators, perturbation theory, numerical solutions, and the variational theorem are also covered. Particular emphasis is placed on providing numerous worked examples and exercises. 
504 |a Includes bibliographical references and index. 
588 0 |a Online resource; title from PDF title page (SpringerLink, viewed December 16, 2022). 
505 0 |a Foundations -- Schrödinger's equation -- Schrödinger's Equation in One Dimension -- Operators, Expectation Values, and Various Quantum Theories -- The Harmonic Oscillator -- Schrödinger's equation in Three Dimensions and the Quantum Theory of Angular Momentum -- Central Potentials. 
650 0 |a Quantum theory. 
650 7 |a Quantum theory  |2 fast 
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880 8 |6 505-00/(S  |a 5.6 Raising and Lowering Operators -- Reference -- 6 Schrödinger's Equation in Three Dimensions and the Quantum Theory of Angular Momentum -- 6.1 Separation of Variables: Cartesian Coordinates -- 6.2 Spherical Coordinates -- 6.3 Angular Momentum Operators -- 6.4 Separation of Variables in Spherical Coordinates: Central Potentials -- 6.5 Angular Wavefunctions and Spherical Harmonics -- 6.5.1 Solution of the Φ Equation -- 6.5.2 Solution of the Θ Equation -- 6.5.3 Spherical Harmonics -- References -- 7 Central Potentials -- 7.1 Introduction -- 7.2 The Infinite Spherical Well 
880 0 |6 505-01/(S  |a Intro -- Preface -- Contents -- About the Author -- 1 Foundations -- 1.1 Faraday, Thomson, and Electrons -- 1.2 Spectra, Radiation, and Planck -- 1.3 The Rutherford-Bohr Atom -- 1.4 de Broglie Matter Waves -- 1.5 The Radiative Collapse Problem (Optional) -- References -- 2 Schrödinger's Equation -- 2.1 The Classical Wave Equation -- 2.2 The Time-Independent Schrödinger Equation -- 2.3 The Time-Dependent Schrödinger Equation -- 2.4 Interpretation of ψ: Probabilities and Boundary Conditions -- References -- 3 Solutions of Schrödinger's Equation in One Dimension 
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