Synopses & Reviews
What does quantum mechanics tell us about the key model physical systems of nature? The author of this highly regarded text explores this question in a conceptual manner, fusing mathematical and philosophical elements to present physical imagery that closely parallels the mathematics.
Beginning with an overview that discusses the premise and design for the study, the text proceeds with an examination of the classical quantum bead on a track: its states and representations; its measurement spectra as operator eigenvalues; the harmonic oscillator: bound bead in a symmetric force field; and the bead in a spherical shell. Other topics include spin, matrices, and the structure of quantum mechanics; the simplest atom; indistinguishable particles; and stationary-state perturbation theory.
Geared toward upper-level undergraduate students in physics, this refreshing and instructive text requires the following background: a freshman-year survey course in physics, a first course in classical Newtonian mechanics, and a grasp of mathematics that encompasses integral calculus, vector analysis, differential equations, complex numbers, and Fourier analysis.
Synopsis
A highy regarded text that develops the subject conceptually in a manner that students will find refreshing and instructive, this study of the role of quantum mechanics in nature fuses mathematical and philophical elements by presenting physical imagery that closely parallels the mathematics. Undergraduate to graduate level. Contents: 1. Readers' Orientation: Premise, and Design for the Study. 2. The Quantum Bead on a Track: Its State and Representations. 3. The Bead on a Track: Its Measurement Spectra Are Operator Eigenvalues. 4. The Harmonic Oscillator: Bound Bead in a Symmetric Force Field. 5. The Bead in a Spherical Shell: Two Dimensions with Angular Momentum. 6. Spin, Matrices and the Structure of Quantum Mechanics. 7. Time. 8. The Simplest Atom: Two Particles Bound Together. 9. Indistinguishable Particles: Identical Bosons, and Identical Fermions. 10. Stationary-State Perturbation Theory. So What? Index. Unabridged republication of the edition published by Krieger Publishing Company, Malabar, Florida, 1992.
Synopsis
Introductory text examines the classical quantum bead on a track: its state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; and bead in a spherical shell. Also, spin, matrices and structure of quantum mechanics; simplest atom; indistinguishable particles; and stationary-state perturbation theory. 1992 edition.
Synopsis
Introductory text examines the classical quantum bead on a track: its state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; and bead in a spherical shell. Also, spin, matrices and structure of quantum mechanics; simplest atom; indistinguishable particles; and stationary-state perturbation theory. 1992 edition.
Synopsis
Introductory text builds the mathematical machinery of quantum theory in Dirac Notation directly from the philosophical world view embedded in quantum mechanics. 1992 edition.
Table of Contents
1. Readers' Orientation: Premise, and Design for the Study.
2. The Quantum Bead on a Track: Its State and Representations.
3. The Bead on a Track: Its Measurement Spectra Are Operator Eigenvalues.
4. The Harmonic Oscillator: Bound Bead in a Symmetric Force Field.
5. The Bead in a Spherical Shell: Two Dimensions with Angular Momentum.
6. Spin, Matrices and the Structure of Quantum Mechanics.
7. Time.
8. The Simplest Atom: Two Particles Bound Together.
9. Indistinguishable Particles: Identical Bosons, and Identical Fermions.
10. Stationary-State Perturbation Theory. So What?
Index.