On the width of resonances

A method to get both upper and lower bounds on real and imaginary parts of resonance eigenvalues is extended to Schrödinger operators with exterior dilation analytic potential. We apply it to a simple model potential where the bound states and resonances are exactly known.     

On the natural width of the hypersatellite lines

The natural width of a hypersatellite line (K ^?2→K ^?1 L ^?1 transition) has been measured for the first time. In the case of Cu (Z=29) this width has been found equal toΓ = 5 eV, i.e. much larger than that of the diagram (K ^?1→L ^?1) line. This result follows a proposed empirical law assuming this width to be equal to 3Γ _K+Γ_L.     

On the broadening of the vortex width in a long Josephson tunnel junction

A solution is obtained for a vortex in a long Josephson junction, satisfying boundary conditions on the junction edges. The vortex is shown to broaden remarkably with the decrease of the junctionwidth when the field distribution in free space is two dimensional.     

On the fission width of isobaric analogue states

The experimental cross sections of the reactions ²⁰⁹Bi(p, f) and ²⁰⁶Pb(α, f) are analyzed to estimate the ratio Γ_f/Γ_tot for the IAS. From the comparison of the values Γ_f for the nuclear states with different isospins it follows that strong isospin effects exist in the nuclear fission process involving ²¹⁰Po.     

On the pulse width of synchronously pumped lasers

The pulse width of a synchronously pumped laser chiefly depends on the available cavity bandwidth and the pump-pulse duration. A functional form of this dependence was suggested in the literature. We present an alternate relation which is supported by analytical and numerical results, as well as by experimental results, obtained by us and by others.     

On the estimate of the stochastic layer width for a model of tracer dynamics

An analytical estimate of the width of the generated chaotic layer in a time-periodically driven stream function model for the motion of passive tracers is discussed. It is based essentially on the method of the separatrix map and the use of the Melnikov theory. Energy-time variables are used to derive lower bounds for the half width of the layer. In order to perform a comparison with numerical simulations, the results are transformed into space variables. The analytic results of the layer thickness in both parallel and perpendicular directions to the shear flow are compared with numerical computations and some systematic deviations are discussed.     

On the decay width of multiply measured unstable state

In the case of multiple measurements we have found that there is nonzero decay width () (even for bound states) and that, for relatively long time intervals separating successive measurements, () tends like ^–k (k 1 according to the investigated model) to the asymptotic value _o for unstable states and to zero for bound states. We have shown that the detector efficiencyZ 1 is responsible for this effect and that the evolution operator acting in the considered subspace of states should be renormalized to avoid this effect. As an illustration we have considered electromagnetic levels in the Coulomb field as an example of unstable states.     

On the cyclotron resonance width of very pure Ge

The temperature variation of the cyclotron resonance width Γ for a very pure semiconductor is calculated numerically based on the earlier theory [S. Fujita & A. Lodder, Physica83B, 117 (1976)]. The results are in excellent agreement with experiments by Kawamura et al. for very pure Ge.     

On the width of the critical regime in amorphous ferromagnets

Amorphous ferromagnets exhibit an unusually large temperature range of deviations from the Curie-Weiss behavior in the paramagnetic regime. The question is discussed whether this may be interpreted as an extended critical behavior or as a non-critical phenomenon for which scaling ideas are not valid. Comparison is made with other disordered ferromagnets.     

On the diffusion line width in critical isotropic anti-ferromagnets

We present the results of a calculation of the scaling function for the line-width of critical isotropic antiferromagnets in the small wave number region.     

The width of a chaotic layer

A model of nonlinear resonance as a periodically perturbed pendulum is considered, and a new method of analytical estimating the width of a chaotic layer near the separatrices of the resonance is derived for the case of slow perturbation (the case of adiabatic chaos). The method turns out to be successful not only in the case of adiabatic chaos, but in the case of intermediate perturbation frequencies as well.     

On the structure of galactic cosmic ray intensity during its long-term variations

The structure of GCR intensity and its changes during the solar magnetic cycle are analyzed by numerically solving its transport equation. We propose a research method that allows us to use the intermediate results from numerical calculations, to resolve the intensity of galactic cosmic rays into components caused by sunspot and magnetic solar cycles, and to monitor the changes in energy in different parts of the heliosphere and different phases of the cycle. A method for dividing intensity into its components associated with the main physical processes determining the modulation of galactic cosmic rays is also proposed.     

光线速度方程的根与光线轴

详细分析了光线速度方程的根,并由此定出光线轴的位置.     

On the cyclotron resonance width of an electron impurity system in two dimensions

Using the proper connected diagram expansion which incorporates the quasi-particle effect naturally we calculated the cyclotron resonance width γ in the extreme quantum limit.(a) γ ∝n

$\text{1}\text{2}$

_s B

$\text{1}\text{2}$

for a short range interaction, and (b) γ = π

$\text{1}\text{2}$

ze² κ^-1 <?crossed h.c.h;^-1 n

$\text{1}\text{2}$

_s for Coulomb interaction, are obtained. The field (B) and concentration (n_s)-dependence is in satisfactory agreement with experimental data. The variation γ = (γ²₁ + γ²₂ + …)

$\text{1}\text{2}$

of Matthiessen's rule γ = γ₁ + γ₂ + …, holds when there exist scattering centers of different kinds in the system.