Energy eigenvalues for heavy-quarkonium and heavy-light systems are determined from the spinless Salpeter equation for the Cornell potential. These are calculated by diagonalizing the matrix representation of the Hamiltonian operator in a basis set constructed from the products of centrifugal barrier factors, Laguerre polynomials, and a common exponential. The Salpeter eigenvalues are compared with eigenvalues obtained from Schrodinger's equation and with spin-averaged experimental results. We present analytic expressions for the matrix elements of both the Coulomb and linear parts of the Cornell potential. We also present analytic results for the matrix elements of the Schrodinger kinetic energy operator. Thus, the Schrodinger problem can also be treated as a matrix diagonalization problem. The relativistic kinetic energy operator is evaluated in momentum space. New expressions are derived for the Fourier transforms of the S-and P-state radial functions. We find that the measured energies of the heavy-quark systems are better fit by Salpeter's equation than by Schrodinger's, in agreement with an earlier calculation of Jacobs, Olsson, and Suchyta. We also find this to be true for B-flavor and charmed mesons.

We consider a model for nondegenerate cavity fields interacting through an intervening Boson field. The quantum correlations introduced in this manner are manifest through their higher-order correlation functions where a type of squeezed state is identified.

We present an analysis on the performance of the Cassegrain and Gregorian on-axis, off-axis and offset antennas. In our study, we have adopted the design parameters for the Cassegrain configuration used in the Atacama Large Millimeter Array (ALMA) project. Modifications on the original parameters are made so as to meet the design requirement for the off-axis and offset configurations. To reduce spillover loss in the offset antennas, we have adjusted the angle between the axis of the primary reflector and that of the sub-reflector, so that the feed horn is placed right next to the edge of the primary reflector. This is to allow the offset antennas to receive the highest power at the feed horn. The results obtained from the physical optics simulation show that the radiation characteristics of both Cassegrain and Gregorian antennas are similar. The offset designs exhibit the best performance, followed by the on-axis, and, finally, the off-axis designs. Our analysis also shows that the performance of both offset Cassegrain and Gregorian antennas are comparable to each other.

We present an accurate analysis on the attenuation of waves, propagating in rectangular waveguides with superconducting walls. The wavenumbers k x and k y in the x and y directions, respectively, are first obtained as roots of a set of transcendental equations developed by matching the tangential fields at the surface of the wall with the electrical properties of the wall material. The complex conductivity of the superconducting waveguide is obtained from the extended Mattis-Bardeen theory. The propagation constant k z is found by substituting the values of k x and k y into the dispersion relation. We have computed and compared the loss in the waveguides below and above the critical temperature. At frequencies above the cutoff frequency f c but below the gap frequency f g , the loss in the superconducting waveguide is significantly lower than that in a normal conducting waveguide. Above the gap frequency, however, the result indicates that the attenuation in the waveguide below the critical temperature is higher than that at room temperature. We attribute the higher loss as due to the higher surface resistance and field penetration for superconducting waveguides operating above the gap frequency.

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