Introductory quantum mechanics
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Introductory quantum mechanics
INFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts • Introductory quantum mechanics • Menlo Park, California • New York Don Mills, Ontario -Wokingham. England • Amsterdam Bonn • Sydney • Singapore • Tokyo • MadridBogota ■ Santiago • San JuanINTRODUCTORY QUANTUM MECHANICSPreviously published by Holden-Day, Inc.Copyright © 1980 by Addison-Wesley Publishing Company, Inc. All rights re Introductory quantum mechanics served. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanicIntroductory quantum mechanics
al, photocopying, recording, or otherwise, without the prior written permission of the publisher.Printed in the United States of America.Published simINFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts • Introductory quantum mechanics taught for the past number of years. The material divides naturally into two major components. In Part I, Chapters 1 to 8, fundamental concepts are developed and these are applied to problems predominantly in one dimension. In Part 11, Chapters 9 to 14, further development of the theory is pursued t Introductory quantum mechanics ogether with applications to problems in three dimensions.Part 1 begins with a review of elements of classical mechanics which are important to a firmIntroductory quantum mechanics
understanding of quantum mechanics. The second chapter continues with a historical review of the early experiments and theories of quantum mechanics.INFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts • Introductory quantum mechanics postulates. The time-dependent Schrodinger equation emerges in this chapter.Solutions to the elementary problems of a free particle and that of a particle in a one-dimensional box are employed in Chapter 4 in the descriptions of Hilbert space and Hermitian operators. These abstract mathematical not Introductory quantum mechanics ions are described in geometrical language which I have found in most instances to be easily understood by students.The cornerstone of this introductoIntroductory quantum mechanics
ry material is the superposition principle, described in Chapter 5. In this principle the student comes to grips with the inherent dissimilarity betweINFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts • Introductory quantum mechanics f a complete set of commuting observables. Quantum conservation principles are presented in Chapter 6.Applications to important problems in one dimension are given in Chapters 7 and 8. Creation and annihilation operators are introduced in algebraic construction of the eigenstates of a harmonic oscil Introductory quantum mechanics lator. Transmission and reflection coefficients are obtained for one-dimensional barrier problems. Chapter 8 is devoted primarily to the problem of aIntroductory quantum mechanics
particle in a periodic potential. The band structure of the energy spectrum for this configuration is obtained and related to the theory of electricalINFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts • Introductory quantum mechanics e Cartesian components of angular momentum serve to generate eigenvalues. These commutator relations further indicate compatibility between the square of total angular momentum and only one of its Cartesian components. It is through these commutator relations that a distinction between spin and orbi Introductory quantum mechanics tal angular momentum emerges, properties of angular momentum developed in this chapter are reemploycd throughout the text.In Chapter 10 the SchrodingeIntroductory quantum mechanics
r equation for a particle moving in three dimensions is analyzed and applied to the examples of a free particle, a charged particle in a magnetic fielINFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts • Introductory quantum mechanics e complete description of spin angular momentum. A host of problems involving a spinning electron in a magnetic field are presented. The theory of the density matrix is developed and applied to a beam of spinning electrons.In Chapter 12 preceding formalisms are employed in conjunction with the Pauli Introductory quantum mechanics principle, in the analysis of some basic problems in atomic and molecular physics. Also included in this chapter are brief descriptions of the quantuIntroductory quantum mechanics
m models for superconductivity and superfluidity.Perturbation theory is developed in Chapter 13. Among the many applications included is that of the pINFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts • Introductory quantum mechanics the Planck radiation formula and the theory of the laser. The text concludes with a brief chapter devoted to an elementary description of the quantum theory of scattering.Problems abound throughout the text, and many of them include solutions. Figures are also plentiful and hopefully lend to the ins Introductory quantum mechanics tructional quality of the writing. A small introductory paragraph precedes each chapter and serves to knit the material together. A list of symbols apIntroductory quantum mechanics
pears before the appendixes.Interspersed throughout the text, especially in the problems, one finds concepts from other disciplines with which the stuINFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts • Introductory quantum mechanics y follows the spirit of one of my cherished late professors. Hartmut Kalman: “Physics is not a sausage that one cuts into little pieces."I trust that a mastery of the concepts and their applications as presented in this work will form a solid foundation on which to build a more complete study of qua Introductory quantum mechanics ntum mechanics.Many individuals have been helpful in the preparation of this text. I remain indebted to these kind, patient, and well-informed colleagIntroductory quantum mechanics
ues: D. Heffernan, M. Guillen, E. Dorchak, D. Faulconer, G. Lasher, I. Nebenzahl, M. Nelkin, T. Fine.INFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts •INFRODUCTORYRichard L. LiboffINTRODUCTORYQUANTUM MECHANICSRichard L. LiboffCornell UniversityADDISON-WESLEY PUBLISHING COMPANYReading, Massachusetts •Gọi ngay
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