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Issue 12 | Dec 1968 | pp. 1081-1190

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Volume 1

Select this Article		Artistic Invitations to the Study of Physics Alan Holden American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1082 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The Robert A. Millikan Lecture Award is made annually to a physicist chosen by a special committee of the American Association of Physics Teachers because of his creative and imaginative contributions to the teaching of physics. The lecturer selected is one whom the Association wishes to honor at the Summer Meeting in the same way that it honors the Oersted Medalist at the time of the Annual Meeting. The award is made possible through the annual support of Prentice-Hall, Inc.; the first award was made in 1964. The recipient of this award for 1968 is Alan Holden, Member of the Technical Staff, Bell Telephone Laboratories.

Select this Article		A Quantum-Mechanical Ripple Tank Walter E. Daniels, Jr. and Judah L. Schwartz American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1088 \| Cited 1 time Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The partial wave expansion for a quantum-mechanical plane-wave scattering from a hard sphere is evaluated numerically, and various graphical presentations of the probability density are made.

Select this Article		The Bethe-Weizsäcker Mass Formula and Lennard-Jones N-N Potentials James Paul Wesley and Alex E. S. Green American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1093 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract An elementary derivation of the Bethe-Weizsäcker semiempirical nuclear mass formula which is in the spirit of current views of nuclear structure, is given. Lennard-Jones potentials are assumed to act between nucleons. Thus the major interaction between nn, pp, and np pairs is taken of the form −gsol;r³+hsol;r⁴, where r is the separation distance between nucleons, and g and h are constants. An additional “symmetry” interaction of the form −s∕r³ is assumed for np pairs. Summing the potential energy over all nucleon pairs and using the Fermi statistical estimate of the kinetic energy, the Bethe-Weizsäcker semiempirical mass formula is obtained directly. The constants of the mass formula are discussed in relation to the N-N interaction and are found to be quite plausible.

Select this Article		The Individual Particle Description of Nuclear Giant Resonant States E. L. Tomusiak American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1096 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The isospin, spin, and spin-isospin modes of collective nuclear excitation are reviewed in a form suitable for presentation in a graduate-level nuclear physics course. The transition charge and current densities as given by a shell model description of these collective states are compared to those of the hydrodynamical theory. These densities are demonstrated to be identical in form if the individual particle model is based on an oscillator potential and if the usual custom of keeping only the first derivative in a Taylor expansion of the hydrodynamical charge operator is adopted. Only doubly closed-shell nuclei with N = Z are considered.

Select this Article		Henri Poincaré's Mathematical Contributions to Relativity and the Poincaré Stresses Camillo Cuvaj American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1102 Online Publication Date: Jul 2005 Full Text: \| Download PDF See Also: Erratum
	+ -	Show Abstract Henri Poincaré was the first to introduce four-vectors, the Lorentz group and its invariants (including the space-time metric), “Poincaré stresses,” as well as making other valuable contributions to relativity theory. We owe to him the names: “Principle of Relativity,” “Lorentz group,” “Lorentz transformation,” and “invariants of the Lorentz group.” It will be shown that his main contributions to relativity were those of a mathematical nature. This has not been sufficiently recognized, although his physical contributions to relativity have been much discussed recently. Frequent misunderstanding of the work of Poincaré and Einstein has resulted in controversy tending to obscure the main achievements of Poincaré. The Poincaré stresses are discussed because of widespread ignorance regarding the theory of classical fundamental charges. The emphasis in this article is on those accomplishments of Poincaré by which he should be better known today. In addition, some misconceptions about the history of relativity and classical electron theory will be corrected.

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Dec 1968

Volume 36, Issue 12, pp. 1081-1190

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Select this Article		The Robert A. Millikan Lecture Award 1968 American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1081 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		The One-Dimensional KDP Model in Statistical Mechanics John F. Nagle American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1114 \| Cited 5 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract It is observed that the one-dimensional analog of the Slater KDP model provides a simple introduction to the study of strongly interacting systems and phase transitions as well as to recent research on two-dimensional KDP models. Although the first-order phase transition of the one-dimensional Slater model technically disappears when more realistic interaction strengths are taken into account, an anomalously large specific heat remains in the modified one-dimensional model.

Select this Article		Behavior of the Complex Refractive Index of an Isotropic Plasma R. Habert and S. N. Samaddar American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1117 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract This note presents the study of the behavior of the real and imaginary parts of the complex refractive index of a homogeneous isotropic plasma. The independent variable is either x =thinsp;ν∕ω or y = (ω_p∕ω)² while the other quantity y (or x) is considered to be a parameter and held constant. It is shown that both the real and the imaginary parts of the refractive index may possess extrema. They are maxima when x alone is varied while they may be minima when y alone is varied. The present investigation supplements the work of Ratcliffe.

Select this Article		A Diagrammatic Mnemonic for Calculation of Cascading Level Populations L. J. Curtis American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1123 \| Cited 2 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract A diagrammatic procedure is described, by which the time dependence of the population of any level in a decay scheme of arbitrary complexity can be prescribed directly in terms of transition probabilities and initial populations, without specifically solving the determining differential equations.

Select this Article		Motion of an Elastic Ball on a Regularly Corrugated Surface P. R. Emtage American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1126 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The motion of a perfectly elastic ball on a regularly corrugated level surface resembles that of an electron in a periodic lattice in that uniform progression across the surface is possible only when the energy of the ball lies within one of a number of discrete regions. These regions correspond to rolling and to even bouncing from ridge to ridge; other simple bouncing motions are found to be unstable, and it is shown that the bands of energy corresponding to more complex stable modes of propagation, if they exist, must be very narrow.

Select this Article		Dimensionally Correct Transformations between Different Systems of Units E. S. Weibel American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1130 \| Cited 4 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract A method which allows the dimensionally correct transformation of equations from one unit system to another is described. Three sets of transformations are explicitely given for the passage between (1) the Gaussian and the mks system, (2) the mks and a natural rationalized system with c = 1, and (3) the mks and a natural rationalized system with c = 1, ħ = 1.

Select this Article		A New Approach to Teaching of Elementary Physics B. Bertman, Walter Chase, E. S. Creeger, J. N. Fox, and Christine Krogh American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1134 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract A radical departure from the traditional method of teaching elementary physics has been tried and is described. The new approach is based on individual work, especially in the laboratory. Preliminary results are discussed.

Select this Article		Students Do Not Think Physics Is “Relevant.” What Can We Do About It? H. R. Crane American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1137 \| Cited 1 time Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The “noncalculus” introductory physics courses in our large universities are populated almost exclusively by captives, i.e., students who are satisfying a requirement. In the students' view, the courses do not justify themselves on their own merits. With the increasing self-determination students are exercising in curriculum matters, the captive audience is due to decrease. This may be averted by reform of the courses, long overdue. The reasons the courses do not seem relevant or worthwhile to the students are examined, and a number of remedies are proposed. Particular evils pointed out are the types of problems and tests given, which generally defeat any effort to direct attention to the more interesting and relevant aspects of the course. An appeal is made for a stockpile of imaginative problems and tests, as a first step toward reform.

Select this Article		Algebraic Equivalence of the Lagrangian and of the Hamiltonian Forms of the Equations of Motion Alfred D. Levitas American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1144 Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract The problem of deriving the Hamiltonian form of the classical equations of motion from the Lagrangian form, and vice versa, is treated algebraically utilizing the explicit dependence of the kinetic energy on the generalized velocities. A method of constructing the Hamiltonian function and the canonical equations of motion from the dependence of the kinetic energy on the generalized velocities is given. The relationship between the Hamiltonian of a system and the energy of a system is obtained without the use of Euler's theorem, and is given for the general case, that is for the case in which the equations transforming from the Cartesian coordinates to the generalized coordinates explicitly involve the time. Some identities involving second partials of the Hamiltonian function and the Lagrangian function are obtained.

Select this Article		Fermi's Theory of Beta Decay Fred L. Wilson American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1150 \| Cited 1 time Online Publication Date: Jul 2005 Full Text: \| Download PDF
	+ -	Show Abstract A complete English translation is given of the classic Enrico Fermi paper on beta decay published in Zeitschrift für Physik in 1934.

Select this Article		Apparatus Review: The Beck Ball Pendulum C. N. Wall American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1161 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		A Derivation of the Lorentz Transformation Assuming It to be Once Differentiable Brian D. Bramson American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1163 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Pumping on a Swing Peter L. Tea, Jr. and Harold Falk American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1165 \| Cited 3 times Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Comment on the Vanishing of the Monopole Term of the Vector Potential Virgil L. Highland American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1166 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Einstein's Theory of Specific Heats—a Simplification W. P. Ganley American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1166 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Elliptic Simple Harmonic Motion James L. Cronin, Jr. and Leonard C. Jones American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1167 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Erratum: “Time Dependence of Quantum State Amplitudes Demonstrated by Free Precession of Spins,” [Am. J. Phys. 36; 420 (1968)] S. G. Kukolich American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1169 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Erratum: “Density of States in a Sphere and Cylinder,” [Am. J. Phys. 36, 417 (1968)] R. H. Lambert American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1169 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Suggestions for the Pasco Millikan Oil Drop Apparatus Guenter Schwarz, Editor and Haym Kruglak American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1169 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		An Improved Blackboard Optics System Guenter Schwarz, Editor, J. H. Hamilton, and W. H. Stevens American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1170 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		A Drop Discriminator and Ionizer for Millikan's Oil Drop Experiment Guenter Schwarz, Editor and James H. Adams, Jr. American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1170 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Double Molecules in Gases at Low Temperatures W. C. Thoburn American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1171 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		On the History of the Theory of Relativity P. J. van Heerden American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1171 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Life of John William Strutt, Third Baron Rayleigh, O.M., F.R.S. Robert John Strutt, Author and John Strong, Reviewer American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1173 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		The Heart of the Atom, the Structure of the Atomic Nucleus Bernard L. Cohen, Author and A. R. Quinton, Reviewer American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1174 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Problems and Solutions in Mathematical Physics Y. Choquet-Bruhat, Author and Richard W. Lindquist, Reviewer American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1174 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Theoretical Methods in Plasma Physics N. G. van Kampen, Author, B. U. Felderhof, Author, and Allan N. Kaufman, Reviewer American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1175 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Proceedings of the American Association of Physics Teachers: Thirty-Seventh Annual Meeting, The Palmer House, Chicago, 29 January–1 February 1968 Stanley S. Ballard American Journal of Physics -- December 1968 -- Volume 36, Issue 12, pp. 1178 Online Publication Date: Jul 2005 Full Text: \| Download PDF
		Abstract Unavailable