Se p 20 08 Decomposing the Essential Spectrum

s . co m p - ph ] 2 7 Se p 20 05 Gradient Symplectic Algorithms for Solving the Radial Schrödinger Equation

The radial Schrödinger equation for a spherically symmetric potential can be regarded as a one dimensional classical harmonic oscillator with a time-dependent spring constant. For solving classical dynamics problems, symplectic integrators are well known for their excellent conservation properties. The class of gradient symplectic algorithms is particularly suited for solving harmonic oscillato...

1 4 Se p 20 08 A brief note on the spectrum of the basic Dirac operator

In this paper, we prove the invariance of the spectrum of the basic Dirac operator defined on a Riemannian foliation (M,F) with respect to a change of bundle-like metric. We then establish new estimates for its eigenvalues on spin flows in terms of the O’Neill tensor and the first eigenvalue of the Dirac operator on M . We discuss examples and also define a new version of the basic Laplacian wh...

Decomposing the Essential Spectrum

We use C∗-algebra theory to provide a new method of decomposing the essential spectra of self-adjoint and non-self-adjoint Schrödinger operators in one or more space dimensions.

Se p 20 08 Space of Kähler metrics ( IV ) — - On the lower bound of the K - energy

ar X iv : h ep - l at / 0 20 91 08 v 1 1 1 Se p 20 02 1 K → ππ Decay Amplitude on the Lattice

Recent theoretical and numerical progresses of the lattice calculations of K → ππ decay amplitude are reviewed.