The Physics of Oscillations and Waves
Subtitle: With Applications in Electricity and Mechanics
By: by Ingram Bloch
Contributors: SpringerLink (Online service)
Published: 1997
Language: eng
Format: [electronic resource] :
Number of pages: 317
ISBN-13: 9781489900500
Subjects: Physical organic chemistry; Chemistry; Physical and theoretical Chemistry
Description: This potent volume is a highly unified treatment of simple osciallations and waves - "simple" insofar as they are describable by linear equations, occur in one dimension, and utilize scalars instead of vectors (or other tools with geometric complications) as dependent variables. Chapters cover electrical and mechanical oscillating systems, as well as systems of coupled oscillators subjected to arbitrary driving forces. The book concludes with a short discussion of three-dimensional problems and a study of a few aspects of non-linear waves. Throughout Ingram Bloch focuses on laying a foundation for the study of quantum mechanics.
Table of contents: title: 1 Undamped and Undriven Oscillators and LC Circuits; title: 2 The Effect of Damping; title: 3 Sinusoidally Driven Oscillators and Circuit Loops; title: 4 Sums of Sinusoidal Forces or EMF’s—Fourier Analysis; title: 5 Integration in the Complex Plane; title: 6 Evaluation of Certain Fourier Integrals—Causality, Green’s Functions; title: 7 Electrical Networks; title: 8 Nonlinear Oscillations; title: 9 Coupled Oscillators without Damping—Lagrange’s Equations; title: 10 Matrices—Rotations—Eigenvalues and Eigenvectors—Normal Coordinates; title: 11 Some Examples of Normal Coordinates; title: 12 Finite One-Dimensional Periodic Systems, Difference Equations; title: 13 Infinite One-Dimensional Periodic Systems—Characteristic Impedance; title: 14 Continuous Systems, Wave Equation, Lagrangian Density, Hamilton’s Principle; title: 15 Continuous Systems, Applied Forces, Interacting Systems; title: 16 Other Linear Problems; title: 17 Nonlinear Waves; title: Answers to Selected Problems.