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#### Chern-Schwartz-MacPherson classes for Schubert cells in flag manifolds

We obtain an algorithm computing the Chern-Schwartz-MacPherson (CSM) classes of Schubert cells in a generalized flag manifold G/B. In analogy to how the ordinary divided difference operators act on Schubert classes, each ...

#### 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 ...

#### the semiclassical limit of quantum dynamics. I. time evolution

(AIP Publishing, 1988-02)

The ℏ→0 limit of the quantum dynamics determined by the Hamiltonian H(ℏ) =−(ℏ2/2m)Δ+V on L 2(R n ) is studied for a large class of potentials. By convolving with certain Gaussian states, classically determined asymptotic ...

#### multiple-scales space-time analysis of a randomly perturbed one-dimensional wave-equation

(AIP Publishing, 1977-10)

An initial value problem for one_dimensional wave propagation is considered; the medium is assumed to be randomly perturbed as a function of both space and time. The stochastic perturbation theory of Papanicolaou and Keller ...

#### expansion-free electromagnetic solutions of Kerr-Schild class

(AIP Publishing, 1974-07)

Starting with the general Kerr_Schild form of the metric tensor,d s2=_+l_l (where l is null and _ is flat space_time), a study is made for those solutions of the Einstein_Maxwell equations in which l is geodesic, shear_free, ...

#### functional calculus for symmetric multigroup transport operator

(AIP Publishing, 1976-02)

A rigorous treatment of the symmetric multigroup transport equation is given by developing the functional calculus for the transport operator. Von Neumann spectral theory is applied to nonorthogonal cyclic subspaces, and ...

#### experimental observation and matching numerical simulation for the deformation and breakup of immiscible drops in oscillatory shear

(AIP Publishing, 2002-09)

This paper describes experimental results on the way immiscible drops of a Newtonian fluid can deform and breakup when subject to oscillatory shear deformation. The paper also reports a matching three-dimensional numerical ...

#### A finite element splitting extrapolation for second order hyperbolic equations

(Siam Publications, 2009)

Splitting extrapolation is an efficient technique for solving large scale scientific and engineering problems in parallel. This article discusses a finite element splitting extrapolation for second order hyperbolic equations ...

#### Computational simulation of type-II superconductivity including pinning phenomena

(American Physical Society, 1995-06-15)

A flexible tool, based on the finite-element method, for the computational simulation of vortex phenomena in type-II superconductors has been developed. These simulations use refined or newly developed phenomenological ...

#### asymptotic-behavior of Jost functions near resonance points for Wigner-Vonneumann type potentials

(AIP Publishing, 1991-01)

In this work are considered radial Schrodinger operators - psi" + V(r)-psi = E-psi, where V(r) = a sin br/r + W(r) with W(r) bounded, W(r) = O(r-2) at infinity (a,b real). The asymptotic behavior of the Jost function and ...