The problem of the Kohn mode in bosonized theories of one-dimensional interacting fermions in the harmonic trap is investigated and a suitable modification of the interaction is proposed which preserves the Kohn mode. The modified theory is used to calculate exactly the inhomogeneous linear mobility μ(z, z0;ω) at position z in response to a spatial force pulse at position z0. It is found that t...

The multiplicity distributions for individual fragment Z values in nuclear multifragmentation are binomial. The extracted maximum value of the multiplicity, mZ , is found to depend on Z according to mZ = Z0/Z, where Z0 is the source size. This is shown to be a strong indication of statistical coverage of fragmentation phase space. The inferred source sizes coincide with those extracted from the...

The effects of smooth muscle activation on the pressure dependence of arterial wall characteristic impedance were studied with isolated segments of canine iliac and carotid arteries. Measurements of external diameter and transmural pressure were made before and after activation of the arterial smooth muscle (SM) by norepinephrine (NE) in concentrations of 0.5 and 5 mug/ml and used to compute va...

Let X be a Banach space and Z a relatively weakly compact subset of X. Let J : Z → R be a upper semicontinuous function bounded from above and p ≥ 1. This paper is concerned with the perturbed optimization problem of finding z0 ∈ Z such that ‖x− z0‖ + J(z0) = supz∈Z{‖x− z‖p + J(z)}, which is denoted by maxJ(x, Z). We prove in the present paper that if X is Kadec w.r.t. Z, then the set of all x ...

We drop a circular disk magnet through thin coil of wire, record the induced voltage, and compare results to an analytic model based on dipole approximation Faraday's law, which predicts that difference between voltage peak magnitudes corresponding entry exit should be in proportion z0−1/2, where z0 is initial height above center coil. Agreement experimental data excellent. This easily reproduc...

The precise investigation of the W+W−Z0 production at the e+e− International Linear Collider(ILC) is of crucial importance in probing the couplings between massive vector gauge bosons and discovering the signature of new physics beyond the standard model(SM). We study the full one-loop EW effects on the observables, such as, the total cross section, the differential cross section of the invaria...

We have reported in a previous paper (Paper I) B,V and I band photometric data for a sample of 24 edge-on interacting spiral galaxies, together with a control sample of 7 edge-on isolated galaxies. We discuss here the main result found in this study: the ratio h/z0 of the radial exponential scalelength h to the constant scaleheight z0 is about twice smaller for interacting galaxies. This is fou...

In the electromagnetic theory, the vacuum impedance Z0 is a universal constant, which is as important as the velocity of light c0 in vacuum. Unfortunately, however, its significance is not appreciated so well and sometimes the presence itself is ignored. It is partly because in the Gaussian system of units, which has widely been used for long time, Z0 is a dimensionless constant and of unit mag...

In this note, we present the hyperbolic Menelaus theorem in the Poincaré disc of hyperbolic geometry. 2000 Mathematical Subject Classi…cation: 30F45, 20N99, 51B10, 51M10 Keywords and phrases: hyperbolic geometry, hyperbolic triangle, gyrovector 1. Introduction Hyperbolic Geometry appeared in the …rst half of the 19 century as an attempt to understand Euclid’s axiomatic basis of Geometry. It is ...