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Quantum Mechanics: Foundations and Applications

Autor Donald Gary Swanson
en Limba Engleză Paperback – 23 oct 2019
Progressing from the fundamentals of quantum mechanics (QM) to more complicated topics, Quantum Mechanics: Foundations and Applications provides advanced undergraduate and graduate students with a comprehensive examination of many applications that pertain to modern physics and engineering.

Based on courses taught by the author, this textbook begins with an introductory chapter that reviews historical landmarks, discusses classical theory, and establishes a set of postulates. The next chapter demonstrates how to find the appropriate wave functions for a variety of physical systems in one dimension by solving the Schrödinger equation where for time-independent cases, the total energy is an eigenvalue. The following chapter extends this method to three dimensions, focusing on partial differential equations. In subsequent chapters, the author develops the appropriate operators, eigenvalues, and eigenfunctions for angular momentum as well as methods for examining time-dependent systems. The final chapters address special systems of interest, such as lasers, quarks, and hadrons. Appendices offer additional material, exploring matrices, functions, and physical constants.

Relating theory with experiment, Quantum Mechanics: Foundations and Applications provides both basic and complex information for junior- and senior-level physics and engineering students.
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Specificații

ISBN-13: 9780367390501
ISBN-10: 0367390507
Pagini: 343
Ilustrații: 58
Dimensiuni: 156 x 234 mm
Greutate: 0.51 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press

Public țintă

Undergraduate

Cuprins

Preface. The Foundations of Quantum Physics. The Schrödinger Equation in One Dimension. The Schrödinger Equation in Three Dimensions. Total Angular Momentum. Approximation Methods. Atomic Spectroscopy. Quantum Statistics. Band Theory of Solids. Emission, Absorption, and Lasers. Scattering Theory. Relativistic Quantum Mechanics and Particle Theory. Appendices. Bibliography. Index.

Recenzii

"This textbook on quantum mechanics is characterized by the wide variety of topics touched upon, especially in connection with applications. In fact besides covering essentially all basic arguments for a one year course in quantum mechanics the text briefly considers many other applications such as atomic spectroscopy, quantum statistics, band theory of solids, emission, absorption, lasers, quarks and linear potentials."
– Bassano Vacchini, in Zentralblatt Math, 2009

Descriere

Progressing from the fundamentals of quantum mechanics to more advanced topics, this book provides a comprehensive examination of many applications that pertain to modern physics and engineering. It begins by discussing the use of Fourier transform pairs to introduce operators in a clear way. In subsequent chapters, the author examines the Schrödinger equation, develops the appropriate operators for angular momentum, gives methods for examining time-dependent systems, and addresses special systems of interest, such as lasers and hadrons. The appendices explore matrices, functions, and physical constants, and give answers to selected problems. Throughout, the author provides relevant mathematical derivations where appropriate.