Modern Approach to Quantum Mechanics

ISBN-10: 1891389130

ISBN-13: 9781891389139

Edition: 2nd 2000 (Reprint)

Authors: John S. Townsend
List price: $93.50 Buy it from $18.33
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Description: Inspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics as well as giving them a textbook that is logical and well-ordered.

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Book details

List price: $93.50
Edition: 2nd
Copyright year: 2000
Publisher: University Science Books
Publication date: 3/1/2000
Binding: Hardcover
Pages: 497
Size: 6.00" wide x 9.00" long x 1.25" tall
Weight: 2.112
Language: English

About the author JOHN S. TOWNSEND isnbsp;Susan and Bruce Worster Professor of Physics at thenbsp;Harvey Mudd College, and thenbsp;Claremont Colleges, USA

Preface
Stern-Gerlach Experiments
The Original Stern-Gerlach Experiment
Four Experiments
The Quantum State Vector
Analysis of Experiment 3
Experiment 5
Summary
Rotation of Basis States and Matrix Mechanics
The Beginnings of Matrix Mechanics
Rotation Operators
The Identity and Projection Operators
Matrix Representations of Operators
Changing Representations
Expectation Values
Photon Polarization and the Spin of the Photon
Summary
Angular Momentum
Rotations Do Not Commute and Neither Do the Generators
Commuting Operators
The Eigenvalues and Eigenstates of Angular Momentum
The Matrix Elements of the Raising and Lowering Operators
Uncertainty Relations and Angular Momentum
The Spin-1/2 Eigenvalue Problem
A Stern-Gerlach Experiment with Spin-1 Particles
Summary
Time Evolution
The Hamiltonian and the Schrodinger Equation
Time Dependence of Expectation Values
Precession of a Spin-1/2 Particle in a Magnetic Field
Magnetic Resonance
The Ammonia Molecule and the Ammonia Maser
The Energy-Time Uncertainty Relation
Summary
A System of Two Spin-1/2 Particles
The Basis States for a System of Two Spin-1/2 Particles
The Hyperfine Splitting of the Ground State of Hydrogen
The Addition of Angular Momenta for Two Spin-1/2 Particles
The Einstein-Podolsky-Rosen Paradox
A Nonquantum Model and the Bell Inequalities
Summary
Wave Mechanics in One Dimension
Position Eigenstates and the Wave Function
The Translation Operator
The Generator of Translations
The Momentum Operator in the Position Basis
Momentum Space
A Gaussian Wave Packet
The Heisenberg Uncertainty Principle
General Properties of Solutions to the Schrodinger Equation in Position Space
The Particle in a Box
Scattering in One Dimension
Summary
The One-Dimensional Harmonic Oscillator
The Importance of the Harmonic Oscillator
Operator Methods
An Example: Torsional Oscillations of the Ethylene Molecule
Matrix Elements of the Raising and Lowering Operators
Position-Space Wave Functions
The Zero-Point Energy
The Classical Limit
Time Dependence
Solving the Schrodinger Equation in Position Space
Inversion Symmetry and the Parity Operator
Summary
Path Integrals
The Multislit, Multiscreen Experiment
The Transition Amplitude
Evaluating the Transition Amplitude for Short Time Intervals
The Path Integral
Evaluation of the Path Integral for a Free Particle
Why Some Particles Follow the Path of Least Action
Quantum Interference Due to Gravity
Summary
Translational and Rotational Symmetry in the Two-Body Problem
The Elements of Wave Mechanics in Three Dimensions
Translational Invariance and Conservation of Linear Momentum
Relative and Center-of-Mass Coordinates
Estimating Ground-State Energies Using the Uncertainty Principle
Rotational Invariance and Conservation of Angular Momentum
A Complete Set of Commuting Observables
Vibrations and Rotations of a Diatomic Molecule
Position-Space Representations of L in Spherical Coordinates
Orbital Angular Momentum Eigenfunctions
Summary
Bound States of Central Potentials
The Behavior of the Radial Wave Function Near the Origin
The Coulomb Potential and the Hydrogen Atom
The Finite Spherical Well and the Deuteron
The Infinite Spherical Well
The Three-Dimensional Isotropic Harmonic Oscillator
Conclusion
Time-Independent Perturbations
Nondegenerate Perturbation Theory
An Example Involving the One-Dimensional Harmonic Oscillator
Degenerate Perturbation Theory
The Stark Effect in Hydrogen
The Ammonia Molecule in an External Electric Field Revisited
Relativistic Perturbations to the Hydrogen Atom
The Energy Levels of Hydrogen, Including Fine Structure, the Lamb Shift, and Hyperfine Splitting
The Zeeman Effect in Hydrogen
Summary
Identical Particles
Indistinguishable Particles in Quantum Mechanics
The Helium Atom
Multielectron Atoms and the Periodic Table
Covalent Bonding
Conclusion
Scattering
The Asymptotic Wave Function and the Differential Cross Section
The Born Approximation
An Example of the Born Approximation: The Yukawa Potential
The Partial Wave Expansion
Examples of Phase-Shift Analysis
Summary
Photons and Atoms
The Aharonov-Bohm Effect
The Hamiltonian for the Electromagnetic Field
Quantizing the Radiation Field
The Properties of Photons
The Hamiltonian of the Atom and the Electromagnetic Field
Time-Dependent Perturbation Theory
Fermi's Golden Rule
Spontaneous Emission
Higher-Order Processes and Feynman Diagrams
Appendixes
Electromagnetic Units
The Addition of Angular Momenta
Dirac Delta Functions
Gaussian Integrals
The Lagrangian for a Charge q in a Magnetic Field
Values of Physical Constants
Answers to Selected Problems
Index
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