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Issue 12 | Dec 1963 | pp. 897-948

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Volume 1

Select this Article		Resource Letter SO-1 on the Kinematics and Dynamics of Satellite Orbits Leon Blitzer American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 233 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract Prepared at the request of the AAPT Committee on Resource Letters. 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 Arnold Arons, Chairman Resource Letter Committee, Department of Physics, Amherst College, Amherst, Massachusetts. Notation: The letter E after an item number indicates elementary level, useful principally for freshman liberal arts through sophomore physics courses; the letter I indicates intermediate (junior, senior) level; and the letter A indicates advanced material principally suited for senior, graduate study. An asterisk (∗) indicates items particularly recommended for introductory study. Additional copies: Available from American Institute of Physics, 335 East 45 Street, New York 17, New York. When ordering, request Resource Letter SO-1, and enclose a stamped return envelope.

Select this Article		Fokker-Planck Equation Edward A. Desloge American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 237 \| Cited 1 time Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The Fokker-Planck approximation to the interaction term in the Boltzmann transport equation is discussed. For the case of binary collisions a simple derivation of this term is presented. The resultant expressions for the associated quantities 〈Δv_i〉 and 〈Δv_iΔv_i〉 are evaluated for the case of a fully ionized gas. Several forms of the distribution function are considered.

Select this Article		Classical Distribution of a Mutually Interacting System of Particles Carl A. Barlow, Jr. American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 247 \| Cited 2 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract It is shown that subject to very general conditions which do not exclude strong or velocity dependent interactions but which tend to restrict consideration to systems having only long range forces, the most probable distribution of an assembly of interacting particles is classically given exactly by a Boltzmann distribution in which appears in the Boltzmann factor a term identical to an interaction with the associated most probable self-consistent field.

Select this Article		Possibility of Observing the Magnetic Charge of an Electron Halstead Harrison, Nicholas A. Krall, O. C. Eldridge, F. Fehsenfeld, Wade L. Fite, and Werner B. Teutsch American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 249 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The Lorentz force law and Maxwell's equations are extended to include magnetic as well as electric charges, by requiring that the equations be symmetrical in these charges. This extension predicts that the absolute magnetic charge of a particle cannot be detected. What can be detected are differences in magnetic charge between elementary particles and the validity of the assumed method of extending the Maxwell-Lorentz equations. An experiment is described which appears to measure the magnetic charge of an electron, but which instead bears on the form of the Maxwell-Lorentz equations. Other arguments limit the difference between proton and electron magnetic charges.

Select this Article		Linear Air Trough H. V. Neher and R. B. Leighton American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 255 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The construction and operation of a linear air trough, a device for floating small rectangular blocks (called gliders) on an air film, is described. The apparatus is useful for demonstrations and laboratory study of one-dimensional particle mechanics. The very small friction that is present is due to the viscosity of the air film, and causes the speed of a glider to decay with a time constant of the order of a few hundred seconds. A type of bumper has been designed which yields a coefficient of restitution greater than 0.99. Ten of these air troughs have been used in a student laboratory for a year, and have proved quite successful in experiments involving Newton's laws, collisions, damped harmonic motion, and motion on an incline.

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Apr 1963

Volume 31, Issue 4, pp. 233-316

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Select this Article		Vacuum Apparatus J. G. King, Editor American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. xiii Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		More Glues J. G. King, Editor American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. xiv Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Plastic Spheres J. G. King, Editor American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. xiv Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Needle Valves J. G. King, Editor American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. xiv Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Incandescent Lamps J. G. King, Editor American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. xiv Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		A Useful Reference Work J. G. King, Editor American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. xiv Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Torsion Suspension Material J. G. King, Editor American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. xiv Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Acceptable Solutions and Boundary Conditions for the Schrödinger and Dirac Equations Baxter H. Armstrong and Edwin A. Power American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 262 \| Cited 2 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract It is shown that the condition of finiteness at the origin, usually imposed on solutions to the nonrelativistic Schrödinger equation for the hydrogen atom (and some other systems) is not necessary. The quadratically integrable l = 0 “anomalous” solution which is usually excluded in this fashion is not a solution to the Schrödinger equation at the origin, and consequently does not need to be excluded by a boundary or other type condition. The relativistic generalization through the Dirac equation of this anomalous solution is not quadratically integrable. The solution generalized according to the relativistic Schrödinger equation is quadratically integrable and obeys the equation at the origin. Consequently, a boundary or other type condition may still be needed in a general relativistic theory.

Select this Article		Some Applications of the Brehme Diagram Francis W. Sears American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 269 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The Lewis-Tolman collision, the Feynman clock, the relativistic Doppler effect, and the “twin paradox” are analyzed by means of a Brehme diagram.

Select this Article		Accelerating Frames of Reference and the Clock Paradox Harry Lass American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 274 \| Cited 3 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The Lorentz-Einstein transformations are obtained by a method which enables one to derive a coordinate transformation between an inertial frame of reference and a noninertial accelerating system. With the aid of this transformation, one computes the explicit time for the round trip of the noninertial twin who leaves the inertial twin with initial speed −V, and returns by means of an acceleration. It is found that the accelerating twin returns younger than the inertial twin.

Select this Article		Caustic of the Primary Rainbow J. E. McDonald American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 282 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract An instructive problem in the geometrical optics of caustics is afforded by the classical theory of the rainbow. Since any caustic may also be viewed as a cusp locus of wavefronts, the same problem has bearing on certain aspects of the diffraction theory of the rainbow. Using a method of caustic analysis capable of delineating the complete emergent caustic of the primary rainbow, it is shown that past conceptions of the full caustic locus have been markedly in error. The correct locus is found to exhibit an odd cusp on a segment of the (virtual) caustic lying wholly within the raindrop.

Select this Article		Self-Stress, Covariance and the Classical Electron Frank R. Tangherlini American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 285 \| Cited 2 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract It is shown that the covariance problem of the classical electron cannot be divorced from the self-stress problem as claimed recently by Rohrlich. The basic invariance principle of a relativistic field theory (i.e., the formalism should be independent of the choice of the family of space-like hypersurfaces) is used to give another derivation of von Laue's theorem. This new derivation makes it quite clear that the energy-momentum expressions calculated from the Maxwell energy-stress tensor are surface dependent because of the nonvanishing of the self-stress. The fact that the early workers obtained the well-known factor of in the momentum expressions for one choice of surface, and Rohrlich and others find a factor of unity for another choice of surface, merely serves to confirm the violation of the basic invariance principle. Some additional remarks are made about the covariance problem of classical electrodynamics. The advantages and implications of the alternative proposal of Poincaré are elucidated.

Select this Article		Physics in a Toy Boat I. Finnie and R. L. Curl American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 289 \| Cited 1 time Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract A method of propulsion commonly used in toy boats consists of a shallow chamber, covered by a thin diaphragm, which is connected to the water astern of the boat by pipes. Filling the chamber with water and then heating it's base leads to vigorous self-induced vibration of the diaphragm and water column in the pipes with resulting forward motion of the boat. The paper describes the mechanisms of self-induced vibration and of propulsion. It is shown that this inexpensive toy demonstrates a number of physical principles and provides opportunities for further research.

Select this Article		Solution of the Stokes Flow of a Sphere by Minimization of the Dissipation of Energy Kenneth C. DuPont and Philip Rosen American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 294 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract A detailed derivation of the velocity flow field of a sphere moving slowly through an incompressible viscous fluid of infinite extent (Stokes' flow) can be accomplished by simultaneously satisfying the equations of motion and continuity for the fluid particles. An alternate method is used here which makes use of Onsager's principle of least dissipation of energy. To simplify the problem a constant velocity U equal and opposite in direction to the velocity of the sphere is superposed on the system to allow the fluid to flow slowly in the +x direction past the now stationary sphere. A variational problem is then stated and a Euler-Lagrange equation is obtained, the solution of which specifies the velocity flow field dependence on r, the distance from the center of the sphere.

Select this Article		Remarks on the Bound States of a Central Potential in Quantum Mechanics B. W. Downs American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 277 \| Cited 2 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract A simple proof is given of the fact that the ground state of a central potential is an S state. The ordering of the bound states of a central potential according to the value of the angular momentum and the number of nodes of the solution to the radial Schroedinger equation is also discussed.

Select this Article		Geometrical Method for Relativistic Particle Kinematics Moon H. Cha and Donald G. Simons American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 280 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract A geometrical method for solving relativistic particle kinematics is presented. The method is especially useful for obtaining the energy and momentum distributions in a two-particle system, and the threshold energy for particle production. Energy and momentum distributions in a many-particle, system are also discussed.

Select this Article		TEM Modes and Circular Polarization Kaiser S. Kunz American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 297 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract In this treatment of transverse electromagnetic waves circularly polarized waves of opposite senses are associated with a given positive frequency and the corresponding negative frequency. Linear polarization is thus obtained only as a superposition of circularly polarized waves. The development also leads naturally to the anticonformal properties of the field with respect to the transverse coordinates.

Select this Article		Let's Be Rational Francis W. Sears American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 299 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Photographs of the Center of Mass Félix Castillo-Jiménez American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 299 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Apparatus for Determining Brewster's Angle T. G. Bullen, F.S.C.H. American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 302 \| Cited 2 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Behavior of a Helium Balloon in a Car Hans G. Graetzer and P. W. Williams American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 302 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Wanted, a BA Wheatstone Bridge Bernard S. Finn, Curator American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 303 \| Cited 3 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Interference of Linearly Polarized Light with Perpendicular Polarizations Richard Hanau American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 303 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Nonconservation of Angular Momentum of a Weight on a String Edwin X Berry American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 304 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Is The Slug Necessary? Francis T. Worrell American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 305 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Mechanical and Thermal Energy Jerrold Zacharias, Author and Brother Columban, Reviewer, C.F.X. American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 307 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		The Proceedings of the Rutherford Jubilee International Conference, Manchester, 1961 J. B. Birks, Editor and B. James Raz, Reviewer American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 307 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		An Introduction to Elementary Particles W. S. C. Williams, Author and F. A. Kaempffer, Reviewer American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 308 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Low Temperature Physics L. C. Jackson, Author and Charles H. Holbrow, Reviewer American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 308 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Quantum Statistical Mechanics Leo P. Kadanoff, Author, Gordon Baym, Author, and John D. Trimmer, Reviewer American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 309 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		The Mainstream of Physics Arthur Beiser, Author and F. R. Scott, Reviewer American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 309 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Principles of Transistor Circuits (Second Edition) S. W. Amos, Author and Carl E. Adams, Reviewer American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 309 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Electromagnets Robert M. Whitmer, Author and Francis T. Worrell, Reviewer American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 310 Online Publication Date: Jul 2005 Full Text: \| Download PDF
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Select this Article		Energy for Man: From Windmills to Nuclear Power Hans Thirring, Author and Thomas D. Miner, Reviewer American Journal of Physics -- April 1963 -- Volume 31, Issue 4, pp. 311 \| Cited 1 time Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable