12,383 research outputs found
Size of orthogonal sets of exponentials for the disk
Suppose \Lambda \subseteq \RR^2 has the property that any two exponentials
with frequency from are orthogonal in the space , where D
\subseteq \RR^2 is the unit disk. Such sets are known to be finite
but it is not known if their size is uniformly bounded. We show that if there
are two elements of which are distance apart then the size of
is . As a consequence we improve a result of Iosevich and
Jaming and show that has at most elements in any disk of
radius
Gaussian elimination as an iterative algorithm
Gaussian elimination (GE) for solving an linear system of equations is the archetypical direct method of numerical linear algebra, as opposed to iterative. In this note we want to point out that GE has an iterative side too
Quantum Calculations On The Vibrational Predissociation Of NeBr2: Evidence For Continuum Resonances
Quantum mechanical calculations on the vibrational predissociation dynamics of NeBr2 in the B electronic state have been performed and the results compared with both experimental data and other computational studies. For vibrational levels with v less than or equal to 20 we find that the vibrational state dependence of the predissociation lifetimes is in qualitative agreement with experimental measurements, as are the calculated Br-2 fragment rotational distributions. For higher vibrational levels, the B \u3c-- X excitation profiles are well represented by a sum of two Lorentzian line shapes. We attribute this result to the presence of long-lived resonances in the dissociative continuum that are reminiscent of long-lived dissociative trajectories in previous classical studies of NeBr2. (C) 2000 American Institute of Physics. [S0021-9606(00)00205-1]
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