共查询到20条相似文献,搜索用时 31 毫秒
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Let be a compact real-analytic manifold, equipped with a real-analytic Riemannian metric , and let be a closed real-analytic 2-form on , interpreted as a magnetic field. Consider the Hamiltonian flow on that describes a charged particle moving in the magnetic field . Following an idea of T. Thiemann, we construct a complex structure on a tube inside by pushing forward the vertical polarization by the Hamiltonian flow “evaluated at time ”. This complex structure fits together with to give a Kähler structure on a tube inside . When , our magnetic complex structure is the adapted complex structure of Lempert–Szőke and Guillemin–Stenzel.We describe the magnetic complex structure in terms of its -tangent bundle, at the level of holomorphic functions, and via a construction using the embeddings of Whitney–Bruhat and Grauert. We describe an antiholomorphic intertwiner between this complex structure and the complex structure induced by , and we give two formulas for local Kähler potentials, which depend on a local choice of vector potential -form for . Finally, we compute the magnetic complex structure explicitly for constant magnetic fields on and . 相似文献
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《Journal of Geometry and Physics》2006,56(11):2231-2236
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The real compact supergroup is analysed from different perspectives and its representation theory is studied. We prove it is the only (up to isomorphism) supergroup, which is a real form of with reduced Lie group , and a link with SUSY structures on is established. We describe a large family of complex semisimple representations of and we show that any -representation whose weights are all nonzero is a direct sum of members of our family. We also compute the matrix elements of the members of this family and we give a proof of the Peter–Weyl theorem for . 相似文献
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-monopoles are solutions to gauge theoretical equations on noncompact -manifolds of holonomy. We shall study this equation on the Bryant–Salamon manifolds. We construct examples of -monopoles on two of these manifolds, namely the total space of the bundle of anti-self-dual two forms over the and . These are the first nontrivial examples of -monopoles.Associated with each monopole there is a parameter , known as the mass of the monopole. We prove that under a symmetry assumption, for each given there is a unique monopole with mass . We also find explicit irreducible -instantons on and on .The third Bryant–Salamon -metric lives on the spinor bundle over the -sphere. In this case we produce a vanishing theorem for monopoles. 相似文献
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Rosa Gini Liviu Ornea Maurizio Parton Paolo Piccinni 《Journal of Geometry and Physics》2006,56(12):2501-2522
We consider locally conformal Kähler geometry as an equivariant (homothetic) Kähler geometry: a locally conformal Kähler manifold is, up to equivalence, a pair , where is a Kähler manifold and is a discrete Lie group of biholomorphic homotheties acting freely and properly discontinuously. We define a new invariant of a locally conformal Kähler manifold as the rank of a natural quotient of , and prove its invariance under reduction. This equivariant point of view leads to a proof that locally conformal Kähler reduction of compact Vaisman manifolds produces Vaisman manifolds and is equivalent to a Sasakian reduction. Moreover, we define locally conformal hyperKähler reduction as an equivariant version of hyperKähler reduction and in the compact case we show its equivalence with 3-Sasakian reduction. Finally, we show that locally conformal hyperKähler reduction induces hyperKähler with torsion (HKT) reduction of the associated HKT structure and the two reductions are compatible, even though not every HKT reduction comes from a locally conformal hyperKähler reduction. 相似文献
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In terms of quantum Fisher information, we discuss the dynamics of quantity of the Ising model. The inequality detects the class of entangled states which are useful for sub-shot-noise sensitivity. All the exact dynamics of the expectations of collective spin operators are derived. The minimum in the plane perpendicular to the mean spin direction is analytically given. We find that does not depend on the system size when . Except for the periodic points, the evolution states are always entangled and useful for the sub-shot-noise phase estimation. 相似文献
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《Radiation measurements》2007,42(4-5):644-647
The tetragonal : persistent luminescence materials were prepared by a solid state reaction. The UV excited and persistent luminescence was observed in the green region centred at 535 nm. Both luminescence phenomena are due to the same ion occupying the single site in the host lattice. The codoping usually reduced the persistent luminescence of :, which differs from the : and : materials. Only the ion enhanced slightly the persistent luminescence. With the aid of synchrotron radiation, the band gap energy of : was found to be about 7 eV that is very similar to those of the : materials. Thermoluminescence results suggested that the ions might act as electron traps, but only the TL peaks created by and can be found in the temperature range accessible. Lattice defects (e.g. oxygen vacancies) are also important, since the same main thermoluminescence peak was observed at about with and without codoping. 相似文献
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In this paper, first we introduce a new notion of pseudo anti-commuting for real hypersurfaces in complex two-plane Grassmannians and prove a complete classification theorem, which gives a shrinking Ricci soliton with potential Reeb flow on Hopf real hypersurfaces and a tube over a totally real totally geodesic , in . 相似文献
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Zhao-Yi Zeng Cui-E Hu Ling-Cang Cai Xiang-Rong Chen Fu-Qian Jing 《Solid State Communications》2009,149(47-48):2164-2168
We have performed detailed first-principles calculations to investigate the structural and lattice dynamical properties of NiTi alloy. The calculated static structures consist well with the experimental data and other theoretical results. With quasi harmonic approximation, the phase boundary between B19′ and BCO phases can be described as a five order polynomial . The change of vibrational entropy is /atom at the transition temperature 100 K under zero pressure. 相似文献
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《Physica A》2006,365(1):217-221