Now showing items 1-10 of 148
Comment on the Dispersion Relations used to Calculate Δρ
(American Physical Soc, 1995-06-01)
We use the operator product expansion (OPE) to show that nonperturbative QCD corrections to Δρ can be calculated using unsubtracted dispersion relations for either the transverse or the longitudinal vacuum polarization ...
Long nonlinear waves in an unbounded rotating jet or rotating two-fluid flow
(AIP Publishing, 1994-03)
The objective of this paper is to study weakly nonlinear waves in an infinitely long rotating jet and a rotating two-fluid flow bounded by an infinitely long rigid cylinder with surface tension at the interface. The critical ...
On the Levinson theorem for Dirac operators
(AIP Publishing, 1990-01)
For the Dirac equation with potential V(r) obeying ∫∞ 0(1+r)‖V(r)‖d r<∞ we prove a relativistic version of Levinson’s theorem that relates the number of bound states in the spectral gap [−m,m] to the variation of an ...
Trough models: Universality classes, distribution of avalanches, and cluster sizes
(American Physical Society, 1992-11)
Extensions of the one-dimensional two-state trough model introduced by Carlson, Chayes, Grannan, and Swindle (CCGS) [Phys. Rev. A 42, 2467 (1990)] are considered. In particular, I investigate what kinds of physical processes ...
Continuity of the S matrix for the perturbed Hill's equation
(AIP Publishing, 1994-07)
The behavior of the scattering matrix associated with the perturbed Hill's equation as the spectral parameter approaches an endpoint of a spectral band is studied. In particular, the continuity of the scattering matrix at ...
The half-Hartley and the half-Hilbert transform
(AIP Publishing, 1994-05)
Inversion formulas are obtained for the restrictions of the Hartley and Hilbert transforms to R+. Regularity results are derived, and an illustrative example presented.
Why do soliton equations come in hierarchies?
(AIP Publishing, 1993-09)
In this article, an identity satisfied by the so-called recursion operator is derived. The identity generates by itself an infinite sequence of Lax pairs, thus ensuring the complete integrability of the corresponding ...
Collided-flux-expansion method for the transport of muonic deuterium in finite media
(American Physical Society, 1991-07)
Transport of muonic deuterium atoms in a slab of thickness d filled with a molecular deuterium gas is described by means of the multiple-collision expansion in the framework of a time-dependent theory. The relevant expressions ...
Scattering and inverse scattering in one-dimensional nonhomogeneous media
(AIP Publishing, 1992-05)
The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrodinger equation d2-psi/dx2 ...
The Riemann-Hilbert problem for nonsymmetric systems
(AIP Publishing, 1991-12)
A comparison of the Riemann-Hilbert problem and the Wiener-Hopf factorization problem arising in the solution of half-space singular integral equations is presented. Emphasis is on the factorization of functions lacking ...