Radiation from a Superluminal Source

The sweep speed of an electron beam across the face of an oscilloscope can exceed the velocity of light, although of course the velocity of the electrons does not. Associated with this possibility there should be a kind of Cherenkov radiation, as if the oscilloscope trace were due to a charge moving with superluminal velocity

Circular Orbits Inside the Sphere of Death

A wheel or sphere rolling without slipping on the inside of a sphere in a uniform gravitational field can have stable circular orbits that lie wholly above the "equator", while a particle sliding freely cannot.Comment: Figures revised slightly since publicatio

Hidden Momentum in a Coaxial Cable

As an illustration of the concept of "hidden" mechanical momentum, we consider a coaxial cable one end of which is connected to a battery and the other to a load resistor. The nonzero electromagnetic momentum of this configuration is balanced by the slight difference in the mechanical momenta of the conduction electrons in the inner and outer conductors.Comment: 4 pages, no figure

Can a "Hidden Variable'' Quantum Theory Evade the "No-Cloning" Theorem?

If YES, then we can look forward to physical realization of superluminal communication, as the original considerations of the ``no-cloning'' theorem were motivated in part as an explanation of why certain schemes for superluminal signaling cannot work. If NO, then it would seem that some aspects of the ``hidden'' variables must be ``intrinsically hidden'', i.e., ``unknowable'', such that ``hidden-variable'' theories belong more to the ``idealist'' than to the ``realist'' school of thought. I pose this question without proposing a definite answer. I am unaware of any commentary on this topic during these 23 years since the formulation of the ``no-cloning'' theorem, but I would be pleased to be enlightened by more knowledgeable readers

A Strategy for Accelerator-Based Neutrino Physics in the USA

We outline a strategy for next-generation neutrino physics experiments based on beams from accelerators in North America. This strategy is based on the mounting evidence in favor of the large mixing angle solution to solar neutrino problem, which implies that in addition to measurement of sin^2 2theta_13 and of the sign of Delta m^2_23, measurement of CP violation in the neutrino sector is a realizable goal if sin^2 2theta_13 is not too small. The strategy is to begin with a new detector, 20-30 kton of liquid argon, designed to make best use of the NUMI beam currently under construction at FNAL. Then, after new measurements have made the optimal path clearer, we anticipate choosing among options for neutrino "superbeam" upgrades at BNL and/or FNAL as well as for second new detector of 100-200 kton.Comment: v2 has an updated Fig. 3, thanks to Debbie Harris. Thanks also to Bob Shroc

Gaussian Laser Beams via Oblate Spheroidal Waves

We deduce a set of circularly polarized Gaussian laser beam modes via a separation-of-variables solution to the Helmholtz wave equation in oblate spheriodal coordinates. On transforming to cylindrical coordinates these become the well-known Gaussian-Laguerre modes.Comment: 15 pages, 4 figure

An Off-Axis Neutrino Beam

In this pedagogic note, set as problem for the reader, it is shown how the existence of a maximum energy of a neutrino that appears at a given angle to the direction of its parent pion leads to a useful enhancment of neutrino flux in an off-axis beam

The Laser-Driven Vacuum Photodiode

A vacuum photodiode driven by a pulsed laser can sustain an average current very similar to that of a continous diode, where the latter is described by Child's law

Radial Viscous Flow between Two Parallel Annular Plates

An analytic solution to the linearized Navier-Stokes equation is given that describes the radial flow of an incompressible, viscous fluid between two parallel, concentric annular plates

A Conducting Checkerboard

The problem of a conducting checkerboard has recently been solved via an elliptic function whose argument is another elliptic function. The behavior of the fields and currents near a vertex of the checkerboard pattern can be discussed by more elementary methods.Comment: 5 pages, 3 figure