41,411 research outputs found
Tensile and fatigue properties of Inconel 718 at cryogenic temperatures
Tests to determine the tensile and fatigue properties of Inconel 718 at cryogenic temperatures show that the alloy increases in strength at low temperatures, with very little change in toughness. The effect of surface finish and grain size on the fatigue properties was also determined
Droughts and California agriculture
Droughts ; Agriculture - California ; Irrigation
Agricultural production's share of the Western economy
Agriculture - West ; Federal Reserve District, 12th
Comment on "Bounding and approximating parabolas for the spectrum of Heisenberg spin systems" by Schmidt, Schnack and Luban
Recently, Schmidt et al. proved that the energy spectrum of a Heisenberg spin
system (HSS) is bounded by two parabolas, i.e. lines which depend on the total
spin quantum number S as S(S+1). The prove holds for homonuclear HSSs which
fulfill a weak homogenity condition. Moreover, the extremal values of the exact
spectrum of various HSS which were studied numerically were found to lie on
approximate parabolas, named rotational bands, which could be obtained by a
shift of the boundary parabolas. In view of this, it has been claimed that the
rotational band structure (RBS) of the energy spectrum is a general behavior of
HSSs. Furthermore, since the approximate parabolas are very close to the true
boundaries of the spectrum for the examples discussed, it has been claimed that
the methods allow to predict the detailed shape of the spectrum and related
properties for a general HSS. In this comment I will show by means of examples
that the RBS hypothesis is not valid for general HSSs. In particular, weak
homogenity is neither a necessary nor a sufficient condition for a HSS to
exhibit a spectrum with RBS.Comment: Comments on the work of Schmidt et al, Europhys. Lett. 55, 105
(2001), cond-mat/0101228 (for the reply see cond-mat/0111581). To be
published in Europhys. Let
Approximating parabolas as natural bounds of Heisenberg spectra: Reply on the comment of O. Waldmann
O. Waldmann has shown that some spin systems, which fulfill the condition of
a weakly homogeneous coupling matrix, have a spectrum whose minimal or maximal
energies are rather poorly approximated by a quadratic dependence on the total
spin quantum number. We comment on this observation and provide the new
argument that, under certain conditions, the approximating parabolas appear as
natural bounds of the spectrum generated by spin coherent states.Comment: 2 pages, accepted for Europhysics Letter
Initiating the effective unification of black hole horizon area and entropy quantization with quasi-normal modes
Black hole (BH) quantization may be the key to unlocking a unifying theory of
quantum gravity (QG). Surmounting evidence in the field of BH research
continues to support a horizon (surface) area with a discrete and uniformly
spaced spectrum, but there is still no general agreement on the level spacing.
In this specialized and important BH case study, our objective is to report and
examine the pertinent groundbreaking work of the strictly thermal and
non-strictly thermal spectrum level spacing of the BH horizon area quantization
with included entropy calculations, which aims to tackle this gigantic problem.
In particular, this work exemplifies a series of imperative corrections that
eventually permits a BH's horizon area spectrum to be generalized from strictly
thermal to non-strictly thermal with entropy results, thereby capturing
multiple preceding developments by launching an effective unification between
them. Moreover, the identified results are significant because quasi-normal
modes (QNM) and "effective states" characterize the transitions between the
established levels of the non-strictly thermal spectrum.Comment: 23 pages, review paper. Final version to appear in Advances in High
Energy Physic
The Missionary Looks at his Work in the Light of St Paul\u27s Letter to the Colossians
While this paper was written primarily with reference to foreign mission work it is obvious that the various practical directions and hints contained in this epistle are just as applicable to the work in the home mission field. After all, the principles are the same, and you work with the same materials, with the word or God and with human beings
Renormalization group study of the four-body problem
We perform a renormalization group analysis of the non-relativistic
four-boson problem by means of a simple model with pointlike three- and
four-body interactions. We investigate in particular the unitarity point where
the scattering length is infinite and all energies are at the atom threshold.
We find that the four-body problem behaves truly universally, independent of
any four-body parameter. Our findings confirm the recent conjectures of Platter
et al. and von Stecher et al. that the four-body problem is universal, now also
from a renormalization group perspective. We calculate the corresponding
relations between the four- and three-body bound states, as well as the full
bound state spectrum and comment on the influence of effective range
corrections.Comment: 11 pages, 6 figures; v2: revised and published versio
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