3,855 research outputs found
The Linearly Independent Non Orthogonal yet Energy Preserving (LINOEP) vectors
It is well known that, in any inner product space, a set of linearly
independent (LI) vectors can be transformed to a set of orthogonal vectors,
spanning the same space, by the Gram-Schmidt Orthogonalization Method (GSOM).
In this paper, we propose a transformation from a set of LI vectors to a set of
LI non orthogonal yet energy (square of the norm) preserving (LINOEP) vectors
in an inner product space and we refer it as LINOEP method. We also show that
there are various solutions to preserve the square of the norm.Comment: 6 pages, 2 figure
Study of large-scale mixing in developing wakes behind streamlined bodies
Heat-tagging and conditional sampling techniques were used to study the large scale mixing process in the developing wake behind a streamlined body. The results were used to understand the manner in which the large eddy length scale evolves from a value appropriate to a boundary layer to that appropriate to the asymptotic far-wake
Two-Proton Radioactivity with 2p halo in light mass nuclei A1834
Two-proton radioactivity with 2p halo is reported theoretically in light mass
nuclei A 18-34. We predict Mg, Si, S, Ar and
Ca as promising candidates of ground state 2p-radioactivity with
S 0. Observation of extended tail of spatial
charge density distribution, larger charge radius and study of proton single
particle states, Fermi energy and the wave functions indicate 2p halo like
structure which supports direct 2p emission. The Coulomb and centrifugal
barriers in experimentally identified 2p unbound Si show a quasi-bound
state that ensures enough life time for such experimental probes. Our
predictions are in good accord with experimental and other theoretical data
available so far.Comment: 5 Pages, 5 figure
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