4,690,111 research outputs found
Ansatz of Hans Bethe for a two-dimensional Bose gas
The method of q-oscillator lattices, proposed recently in [hep-th/0509181],
provides the tool for a construction of various integrable models of quantum
mechanics in 2+1 dimensional space-time. In contrast to any one dimensional
quantum chain, its two dimensional generalizations -- quantum lattices -- admit
different geometrical structures. In this paper we consider the q-oscillator
model on a special lattice. The model may be interpreted as a two-dimensional
Bose gas. The most remarkable feature of the model is that it allows the
coordinate Bethe Ansatz: the p-particles' wave function is the sum of plane
waves. Consistency conditions is the set of 2p equations for p one-particle
wave vectors. These "Bethe Ansatz" equations are the main result of this paper.Comment: LaTex2e, 12 page
Comments on N = 2 supersymmetric sigma models in projective superspace
For the most general off-shell N = 2 supersymmetric sigma model in projective
superspace, we elaborate on its formulation in terms of N = 1 chiral
superfields. A universal (model-independent) expression is obtained for the
holomorphic symplectic two-form, which determines the second supersymmetry
transformation. This two-form is associated with the two complex structures of
the hyperkahler target space, which are complimentary to the one used to
realize the target space as a Kahler manifold.Comment: 7 pages; V2: reference [18] correcte
Deterioration and fragmentation of rivers in Malta
Malta, situated in the Mediterranean Sea south of Sicily, is a small island of less than 300 km2. Two hundred years ago Malta was a wet and sodden country. The limestone was like a sponge, with numerous perennial springs, great and small, and so full of water that most flat areas did not drain, but were marsh. Water from springs, rivers and marshes was in ample supply. In the space of two centuries, Malta's rivers have passed from being good, spring-regulated watercourses with a mixed community of clean limewater plants, to the present-day situation where many if not all are on the verge of extinction. This is the result of human impact, not climate change, and is set to continue and increase. Unfortunately the best wetland-type valley communities were scheduled to be destroyed in 1997 but, after a change of Government and vigorous representations, these may now be spared. However, there is at least a great opportunity to prevent further fragmentation of remaining rivers and to reclaim some of the fragmented portions
Tetraquarks with charm in coupled-channel formalism
The relativistic four-quark equations are found in the framework of
coupled-channel formalism. The dynamical mixing of the meson-meson states with
the four-quark states is considered. The approximate solutions of these
equations using the method based on the extraction of leading singularities of
the amplitudes are obtained. The four-quark amplitudes of cryptoexotic mesons
including the quarks of three flavours (u, d, s) and the charmed quark are
constructed. The poles of these amplitudes determine the masses of tetraquarks.
The mass values of low-lying tetraquarks are calculated.Comment: 21 pages, pdf, minor typos in the text correcte
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Fe-Ni sulphides in Tagish Lake and CI1 and CM2 carbonaceous chondrites
Theory of Complex Scattering Lengths
We derive a generalized Low equation for the T-matrix appropriate for complex
atom-molecule interaction. The properties of this new equation at very low
energies are studied and the complex scattering length and effective range are
derived.Comment: 9 page
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Fe-Ni Sulphides within a CM1 clast in Tagish Lake
The composition, abundance and mineral associations of Fe-Ni sulphides within a CM1 clast in Tagish Lake are described, and compared with Fe-Ni sulphides in the carbonate-rich and carbonate-poor lithology of Tagish Lake, as well as Fe-Ni sulphides from CI and CM chondrites
FDM preparation of bio-compatible UHMWPE polymer for artificial implant
Due to its properties of high wear, creep resistance, high stiffness and strength, Ultra-High Molecular Weight Polyethylene (UHMWPE) was developed to eliminate most metallic wear in artificial implant, which conventionally found in stainless steel, Cobalt Chromium (Co-Cr) and Titanium (Ti) alloys. UHMWPE has an ultra-high viscosity that renders continuous melt-state processes including one of the additive manufacturing processes, Fused Deposition Modeling (FDM) ineffective for making UHMWPE implant. Attempt to overcome this problem and adapting this material to FDM is by blending UHMWPE with other polyethylene including High Density Polyethylene (HDPE) and Polyethylene-Glycol (PEG) which provide adequate mechanical properties for biomedical application along with the improvement in extrudability. It was demonstrated that the inclusion of 60% HDPE fraction has improved the flowability of UHMWPE in MFI test and showing adequate thermal stability in TGA
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