Elements of Quantum Mechanics

Hardcover | January 15, 2001

byMichael D. Fayer

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Elements of Quantum Mechanics provides a solid grounding in the fundamentals of quantum theory and is designed for a first semester graduate or advanced undergraduate course in quantum mechanics for chemistry, chemical engineering, materials science, and physics students. The text includesfull development of quantum theory. It begins with the most basic concepts of quantum theory, assuming only that students have some familiarity with such ideas as the uncertainty principle and quantized energy levels. Fayer's accessible approach presents balanced coverage of various quantum theoryformalisms, such as the Schrodinger representation, raising and lowering operator techniques, the matrix representation, and density matrix methods. He includes a more extensive consideration of time dependent problems than is usually found in an introductory graduate course. Throughout the book,sufficient mathematical detail and classical mechanics background are provided to enable students to follow the quantum mechanical developments and analysis of physical phenomena. Fayer provides many examples and problems with fully detailed analytical solutions. Creating a distinctive flavorthroughout, Fayer has produced a challenging text with exercises designed to help students become fluent in the concepts and language of modern quantum theory, facilitating their future understanding of more specialized topics. The book concludes with a section containing problems for each chapterthat amplify and expand the topics covered in the book. A complete and detailed solution manual is available.

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Elements of Quantum Mechanics provides a solid grounding in the fundamentals of quantum theory and is designed for a first semester graduate or advanced undergraduate course in quantum mechanics for chemistry, chemical engineering, materials science, and physics students. The text includesfull development of quantum theory. It begins w...

Michael D. Fayer is at Stanford University.

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Format:HardcoverPublished:January 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195141954

ISBN - 13:9780195141955

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Table of Contents

PrefaceChapter 1. Absolute Size and the Superposition PrincipleChapter 2. Kets, Bras, Operators, and the Eigenvalue ProblemA. Kets and BrasB. Linear OperatorsC. Eigenvalues and EigenvectorsChapter 3. Momentum of a Free Particle and Wave PacketsA. Momentum States of a Free ParticleB. Normalization of the Momentum EigenfunctionsC. Wave PacketsD. Wave Packet Motion and Group VelocitiesChapter 4. Commutators, Dirac's Quantum Condition, and the Uncertainty PrincipleA. Dirac's Quantum ConditionB. Commutators and Simultaneous EigenfunctionsC. Expectation Values and AveragesD. The Uncertainty PrincipleChapter 5. The Schrodinger Equation, Time-Dependent and Time-IndependentA. The Schrodinger EquationB. The Equation of Motion of the Expectation ValueC. The Free-Particle Energy Eigenvalue ProblemD. The Particle in a Box Energy Eigenvalue ProblemE. Particle in a Finite Box, TunnelingChapter 6. The Harmonic Oscillator in the Schrodinger and Dirac RepresentationsA. The Quantum Harmonic Oscillator in the Schrodinger RepresentationB. The Quantum Harmonic Oscillator in the Dirac RepresenationC. Time-Dependent Harmonic Oscillator Wave PacketChapter 7. The Hydrogen AtomA. Separation of the Schrodinger EquationB. Solutions of the Three One-Dimensional EquationsB. The Hydrogen Atom WavefunctionsChapter 8. Time-Dependent Two-State ProblemA. Electronic Excitation TransferB. Projection OperatorsC. Stationary StatesD. The Nondegenerate Case and the Role of Thermal FluctuationsE. An Infinite System--ExcitonsChapter 9. Perturbation TheoryA. Perturbation Theory for Nondegenerate StatesB. Examples--Perturbed Harmonic Oscillator and the Stark Effect for the Rigid Plane RotorC. Perturbation Theory for Degenerate StatesChapter 10. The Helium Atom: Perturbation Treatment and the Variation PrincipleA. Perturbation Theory Treatment of the Helium Atom Ground StateB. The Variational TheoremB. Variation Treatment of the Helium Atom Ground StateChapter 11. Time-Dependent Perturbation TheoryA. Development of Time-Dependent PerturbationB. Vibrational Excitation by a Grazing Ion-Molecule CollisionChapter 12. Absorption and Emission of RadiationA. The Hamiltonian for Charged Particles in Electric and Magnetic FieldsB. Application of Time-Dependent Perturbation TheoryC. Spontaneous EmissionD. Selection RulesE. Limitations of the Time-Dependent Perturbation Theory TreatmentChapter 13. The Matrix RepresentationA. Matrices and OperatorsB. Change of Basis SetC. Hermitian Operators and MatricesD. The Harmonic Osciallator in the Matrix RepresentationE. Solving the Eigenvalue Problem by Matrix DiagonalizationChapter 14. The Density Matrix and Coherent Coupling of Molecules to LightA. The Density Operator and the Density MatrixB. The Time Dependence of the Density MatrixC. The Time-Dependent Two-State ProblemD. Expectation Value of an OperatorE. Coherent Coupling of a Two-State System by an Optical FieldF. Free PrecessionG. Pure and Mixed Density MatricesH. The Free Induction DecayChapter 15. Angular MomentumA. Angular Momentum OperatorsB. The Eigenvalues of J2 and JzC. Angular Momentum MatricesD. Orbital Angular Momentum and the Zeeman EffectE. Addition of Angular MomentumChapter 16. Electron SpinA. The Electron Spin HypothesisB. Spin-Orbit CouplingC. Antisymmetrization and the Pauli PrincipleD. Singlest and Triplet StatesChapter 17. The Covalent BondA. Separation of Electronic and Nuclear Motion: The Born-Oppenheimer ApproximationB. The Hydrogen Molecule IonC. The Hydrogen MoleculeProblemsPhysical Constants and Conversion Factors for Energy UnitsIndex