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Jul 1968

Volume 36, Issue 7, pp. 577-658

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Resource Letter SP-1 on Symmetry in Physics

David Park

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 577

Online Publication Date: Jul 2005

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Prepared at the request of the AAPT Committee on Resource Letters; supported by a grant from the National Science Foundation.
This is one of a series of Resource Letters on different topics, intended to guide college physicists to some of the literature and other teaching aids that may help them improve course contents in specified fields of physics. No Resource Letter is meant to be exhaustive and complete; in time there may be more than one letter on some of the main subjects of interest. Comments and suggestions concerning the content and arrangement of letters as well as suggestions for future topics will be welcomed. Please send such communications to Professor Joel Gordon, Chairman, Resource Letter Committee, Department of Physics, Amherst College, Amherst, Massachusetts.
Notation: The letter E after the item number means that the reference should be mainly useful for elementary courses. In view of the complexity of the subject elementary will normally imply junior courses. The letter I indicates intermediate (senior and first-year graduates) and A indicates advanced (second-year graduates and students beginning research in Physics). An asterisk indicates items particularly recommended for introductory study.
Additional copies: Available from American Institute of Physics, 335 East 45 Street, New York, New York 10017. When ordering, request Resource Letter SP-1 and enclose a stamped return envelope.

Diffusion: A Relativistic Appraisal

Don C. Kelly

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 585 | Cited 4 times

Online Publication Date: Jul 2005

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The classic equation describing diffusion,
math
, is not consistent with the principles of special relativity. Specifically, its solutions permit the diffusive flow of particles to proceed at speeds in excess of the speed of light. A careful derivation, proceeding from the covariant form of the Boltzmann equation, results in a diffusion equation which exhibits the correct causal behavior. This equation assumes a particularly simple form,
math
, when the collision frequency for momentum transfer, v, is independent of particle speed. The general solution for diffusion in one dimension is presented, revealing the causal character of the diffusive flow.

Difference-Equation Solutions for the Linear Ising Model and Nearest-Neighbor Fluid

Harvey S. Leff and Michael Flicker

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 591

Online Publication Date: Jul 2005

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The one-dimensional nearest-neighbor Ising model, in the presence of a uniform external magnetic field, is solved using a difference equation technique. The approach involves neither combinatorial analyses nor matrix methods, and can be understood with a minimal knowledge of difference equations. The cases with periodic boundary conditions and with no boundary constraints are treated with equal ease. Similarly, the one-dimensional nearest-neighbor fluid is solved with the aid of difference equation techniques. Some difference-equation theory and the conventional matrix Ising model solutions are outlined in appendixes.

Is Charge Conservation Needed to Derive the Displacement Current?

A. F. Yano

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 599

Online Publication Date: Jul 2005

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It is shown that charge conservation is not necessary in deriving the displacement current in Ampere's law.

Approach to Radiative Equilibrium of Free Electrons through Čerenkov Emission and Absorption

V. Arunasalam

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 601 | Cited 1 time

Online Publication Date: Jul 2005

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The approach to radiative equilibrium of a system of free electrons in a background medium whose index of refraction is larger than unity is studied in the light of the basic principles of elementary nonrelativistic quantum theory. It is shown that the radiative equilibrium arises as a consequence of a balance between Čerenkov emission (spontaneous plus the induced emission) and absorption of photons by the uniformly moving electrons. A coupled pair of equations, one describing the time evolution of the photon distribution function and the other describing the time evolution of the electron distribution function, is thus derived. The equation for the time rate of change of the electron distribution function reduces, in the classical limit, to a Fokker-Planck equation.

Fourier Analysis of a Square Wave Using a Simple Tuned Circuit Amplifier

Seymour S. Alpert

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 606

Online Publication Date: Jul 2005

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A simple tuned circuit amplifier which can be readily constructed by advanced undergraduate physics students is used as a spectrum analyzer. A repetitive square voltage waveform is analyzed using this device. The main motivation for the development of the simple spectrum analyzer is to demonstrate physically the reality of the existance of the Fourier components of a repetitive waveform.

X-Ray Diffraction from Helices: Structure of DNA

C. Kittel

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 610 | Cited 1 time

Online Publication Date: Jul 2005

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A review is given in elementary terms of the diffraction of waves from helices, with special reference to the structure of DNA. The essential features of the experimental results are discussed.

Physical Oceanography for the Nonscience Major

K. L. Warsh

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 617

Online Publication Date: Jul 2005

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A physical science course centered around physical oceanography, which was taught to nonscience majors, is described. A very high level of interest was shown by the students. Most of the topics covered in conventional physical science courses can be covered in such a course but in a manner more enjoyable to the student.

Relativistic Dressing of a Free Particle

Charles Ray Smith

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 621

Online Publication Date: Jul 2005

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An application of Feynman-type diagrams in a simple one-particle problem is offered as a pedagogical prop for setting the stage for the diagrammatic representation of serious perturbation calculations. This example is useful to the student, since it brings out several features that will be involved in the applications of diagrams to more sophisticated problems. Important aspects of this application are: (1) It is shown how the rules for combining probability amplitudes can be used; (2) a technique for introducing an external field (which can cause transition among states) is described; and (3) some of the language used in diagrammatic representations is introduced. The concept of dressing a particle is only partially developed.

Forces, Uncertainty, and the Gibbs Entropy

Ralph Baierlein

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 625 | Cited 4 times

Online Publication Date: Jul 2005

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A physicist's educated intuition indicates that the presence of some readily analyzed forces in a gas reduces one's uncertainty about the actual state of affairs at the molecular level below the corresponding uncertainty in the absence of such forces. There ought to be a connection with at least one of the entropylike expressions appearing in statistical mechanics. A simple proof is given that, in the classical limit, the presence of any forces (represented by potentials dependent on particle positions only) does reduce the Gibbs entropy below its value, at the same temperature, in the absence of such forces. This may be taken as support for an interpretation of the Gibbs entropy as a measure of one's uncertainty about the actual microscopic situation, given the information typically available.

The Surf Skimmer

R. D. Edge

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 630 | Cited 1 time

Online Publication Date: Jul 2005

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The simple principles of hydrodynamics which explain the unusual motion of a board skimming across shallow water are investigated to show the reason for the relatively slow loss of energy.

Nonlinear Gravity: A Discussion for Freshmen

D. E. Groom

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 632

Online Publication Date: Jul 2005

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A machine is constructed in which work is done on an external system as the distance between two gravitationally attracting point masses slowly decreases. A distant observer finds that the gravitational field of the two-mass system vanishes when the external work is equal to c2 times the input mass. The model is not to be pushed too far; but it does illustrate, by means of very elementary arguments, the essential nonlinearity of a correct gravitational theory and some interesting consequences of such a theory.
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Another Note on the Twin Paradox

H. Eisenlohr

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 635

Online Publication Date: Jul 2005

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A Sequel to: “Wave Propagation in Inhomogeneous Gyrotropic Warm Plasmas” by H. Unz

R. Burman

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 635

Online Publication Date: Jul 2005

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Another Derivation of the E and H Field Boundary Conditions

David L. Mott

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 636

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Impulse Experiment for a Linear Air Track

J. N. Fox, S. P. Broker, and W. K. Fischer

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 637

Online Publication Date: Jul 2005

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Angular Velocity of an Orthogonal Curvilinear Coordinate Frame

W. E. Bleick

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 638

Online Publication Date: Jul 2005

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Batteries Connected in Parallel

J. S. Wallingford and H. W. Jones

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 639

Online Publication Date: Jul 2005

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On the Abraham-Lorentz Electron

J. W. Zink

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 639

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A Low-Temperature-Control System for Undergraduate Experiments

M. C. Martin and K. H. Thygesen

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 640

Online Publication Date: Jul 2005

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A Versatile Solenoid for the General Physics Laboratory

Guenter Schwarz, Editor, John I. Petz, Jr., and Marci Chotkowski

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 641

Online Publication Date: Jul 2005

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A Low Cost Solid-State Synchronous Spark Timer

Guenter Schwarz, Editor and Martin J. Jensen

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 642

Online Publication Date: Jul 2005

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Abstract Unavailable
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A Plethora of Pendulums for Centripetal Force

Ira M. Freeman

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 643

Online Publication Date: Jul 2005

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Abstract Unavailable
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Principles of Gas Lasers

L. Allen, Author, D. G. C. Jones, Author, and Allen L. King, Reviewer

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 643

Online Publication Date: Jul 2005

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Electromagnetic Fluctuations in Plasma

A. G. Sitenko, Author and J. L. Hirshfield, Reviewer

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 644

Online Publication Date: Jul 2005

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Mathematical Methods in the Physical Sciences

Mary L. Boas, Author and Albert A. Mullin, Reviewer

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 644

Online Publication Date: Jul 2005

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An Introduction to the Statistical Theory of Classical Simple Dense Fluids

G. H. A. Cole, Author and Tucson Dunn, Reviewer

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 645

Online Publication Date: Jul 2005

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Electrodynamics of Plasmas

R. Jancel, Author, Th. Kahan, Author, and Edward A. Frieman, Reviewer

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 646

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High Energy Physics, Vol. II

E. H. S. Burhop, Editor and Edward H. Thorndike, Reviewer

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 646

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An Introduction to Superconductivity

Alfred Leitner, Author and Charles F. Mate, Reviewer

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 647

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Abstract Unavailable
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Washington Section

Edith M. Gideon

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 649

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Florida Section

Richard E. Garrett

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 650

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American Association of Physics Teachers Organization Table for 1968

American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 652

Online Publication Date: Jul 2005

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