Matter as Spectrum of Spacetime Representations

Bound and scattering state Schrödinger functions of nonrelativistic quantum mechanics as representation matrix elements of space and time are embedded into residual representations of spacetime as generalizations of Feynman propagators. The representation invariants arise as singularities of rational representation functions in the complex energy and complex momentum plane. The homogeneous space GL(²)U(2) with rank 2, the orientation manifold of the unitary hypercharge-isospin group, is taken as model of nonlinear spacetime. Its representations are characterized by two continuous invariants whose ratio will be related to gauge field coupling constants as residues of the related representation functions. Invariants of product representations define unitary Poincaré group representations with masses for free particles in tangent Minkowski spacetime.     

Spinor algebras

We consider supersymmetry algebras in space–times with arbitrary signature and minimal number of spinor generators. The interrelation between super Poincaré and super conformal algebras is elucidated. Minimal super conformal algebras are seen to have as bosonic part a classical semisimple algebra naturally associated to the spin group. This algebra, the Spin(s,t)-algebra, depends both on the dimension and on the signature of space–time. We also consider maximal super conformal algebras, which are classified by the orthosymplectic algebras.     

暗物质粒子湮没生成的反质子谱

在粒子物理最小超对称标准模型下,计算了X0X0→gg物理过程的反应截面.利用所获得的截面值给出了暗物质粒子Neutralino X0湮没生成的反质子谱.计算表明:反质子谱具有的可观性,为寻找暗物质粒子和超对称粒子提供了一种可能的途径.     

Spinor brane

The thick brane model supported by a nonlinear spinor field is constructed. The different cases with the various values of the cosmological constant ${\Lambda \left( {l} < \\ =\\ > \right) 0}${\Lambda \left( \begin{array}{l} < \\ =\\ > \end{array} \right) 0} are investigated. It is shown that regular analytical spinor thick brane solutions with asymptotically Minkowski (at Λ = 0) or anti-de Sitter spacetimes (at Λ <  0) do exist.     

Spinor geometry

In this paper the construction of the geometry begins with the assignment of a spinor (spinor ether) and the coordinates x are constructed as a spinor product. It is shown that the corresponding space is a Friedmann space and the coordinates x are Friedmann coordinates. The system of gravitational and field equations is closed. The theory contains eight real functions which specify both the reference system and the coordinate grid. The theory admits quantization of space-time and is free of the difficulties associated with inertia and the absolute character of flat space-time.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 7–12, February, 1977.     

Spinor Relativity

Spinor relativity is a unified field theory, which derives gravitational and electromagnetic fields as well as a spinor field from the geometry of an eight-dimensional complex and ‘chiral’ manifold. The structure of the theory is analogous to that of general relativity: it is based on a metric with invariance group GL(ℂ²), which combines the Lorentz group with electromagnetic U(1), and the dynamics is determined by an action, which is an integral of a curvature scalar and does not contain coupling constants. The theory is related to physics on spacetime by the assumption of a symmetry-breaking ground state such that a four-dimensional submanifold with classical properties arises. In the vicinity of the ground state, the scale of which is of Planck order, the equation system of spinor relativity reduces to the usual Einstein and Maxwell equations describing gravitational and electromagnetic fields coupled to a Dirac spinor field, which satisfies a non-linear equation; an additional equation relates the electromagnetic field to the polarization of the ground state condensate.     

Dilepton Spectrum from An Expanding Hot Nuclear Matter

In this paper the dilepton spectrum from an expanding hot nuclear matter is studied.Comparing with the spectrum from hot quark matter,we find that they are quite different.Especially the former with respect to the initial temperature or particle density is monotonic,the latter is non-monotonic.This may serve as theoretical examination for the production of quark phase transition.     

Spinor structure of space-time

The spinor structure on space-time manifold is investigated in the frame of Crumeyrolle's approach. Some of his theorems are simplified. The equivalence of this approach to the Milnor and Lichnerowicz one is shown using topological properties of the group space of ₀. The equivalence of any two spinor structures on simply connected space-time is established.Partly supported by the Polish Government under the Research Program MR I.7.     

Spinor Field Nonlinearity and Space-Time Geometry

Within the scope of Bianchi type VI,VI0,V, III, I, LRSBI and FRW cosmological models we have studied the role of nonlinear spinor field on the evolution of the Universe and the spinor field itself. It was found that due to the presence of non-trivial non-diagonal components of the energy-momentum tensor of the spinor field in the anisotropic space-time, there occur some severe restrictions both on the metric functions and on the components of the spinor field. In this report we have considered a polynomial nonlinearity which is a function of invariants constructed from the bilinear spinor forms. It is found that in case of a Bianchi type-VI space-time, depending of the sign of self-coupling constants, the model allows either late time acceleration or oscillatory mode of evolution. In case of a Bianchi VI₀ type space-time due to the specific behavior of the spinor field we have two different scenarios. In one case the invariants constructed from bilinear spinor forms become trivial, thus giving rise to a massless and linear spinor field Lagrangian. This case is equivalent to the vacuum solution of the Bianchi VI₀ type space-time. The second case allows non-vanishing massive and nonlinear terms and depending on the sign of coupling constants gives rise to accelerating mode of expansion or the one that after obtaining some maximum value contracts and ends in big crunch, consequently generating space-time singularity. In case of a Bianchi type-V model there occur two possibilities. In one case we found that the metric functions are similar to each other. In this case the Universe expands with acceleration if the self-coupling constant is taken to be a positive one, whereas a negative coupling constant gives rise to a cyclic or periodic solution. In the second case the spinor mass and the spinor field nonlinearity vanish and the Universe expands linearly in time. In case of a Bianchi type-III model the space-time remains locally rotationally symmetric all the time, though the isotropy of space-time can be attained for a large proportionality constant. As far as evolution is concerned, depending on the sign of coupling constant the model allows both accelerated and oscillatory mode of expansion. A negative coupling constant leads to an oscillatory mode of expansion, whereas a positive coupling constant generates expanding Universe with late time acceleration. Both deceleration parameter and EoS parameter in this case vary with time and are in agreement with modern concept of space-time evolution. In case of a Bianchi type-I space-time the non-diagonal components lead to three different possibilities. In case of a full BI space-time we find that the spinor field nonlinearity and the massive term vanish, hence the spinor field Lagrangian becomes massless and linear. In two other cases the space-time evolves into either LRSBI or FRW Universe. If we consider a locally rotationally symmetric BI(LRSBI) model, neither the mass term nor the spinor field nonlinearity vanishes. In this case depending on the sign of coupling constant we have either late time accelerated mode of expansion or oscillatory mode of evolution. In this case for an expanding Universe we have asymptotical isotropization. Finally, in case of a FRW model neither the mass term nor the spinor field nonlinearity vanishes. Like in LRSBI case we have either late time acceleration or cyclic mode of evolution. These findings allow us to conclude that the spinor field is very sensitive to the gravitational one.     

Spinor Factorizations for Relativity

Factorization of 2-component spinors in the mathematical language of General Relativity is often the starting point of classifications of them. Particular factorizations for the Ricci and Weyl spinors are well known. The determination of factorizations of (p, q) spinors is equivalent to the determination of double or bipartite partitions. Firstly a technique for enumeration of such partitions is given, with explicit calculations up to (4, 4). Secondly a method is devised to actually obtain the factorizations, display them for the Ricci, Weyl and Lanczos-Zund spinors, and then reference the full tabulation up to (4, 4) spinors—the most useful for Relativity.     

Spinor field and nonmetricity of space-time

A study is made of the dynamics of a self-gravitating spinor field in a space with curvature and nonmetricity. It is shown that the nonmetricity of the space-time may induce a vector nonlinearity of cubic type in the equation of the spinor field. Also possible is the opposite effect in which such a nonlinearity of the spinor equation is compensated by the influence of the nonmetricity of space-time.Translated from Izvestiya Vysshikh Uchebnykh. Zavedenii, Fizika, No. 6, pp. 52–55, June, 1980.     

Gravitational Interactions in the Dirac Spinor Fields and Possible Structure of Local Space-Time of Fermions

Russian Physics Journal - Within the framework of general relativity, possible effects of the gravitational interactions in the Dirac spinor field are considered. It is shown that these...     

铝氢化物(AlHn)(n=1-6)团簇结构与光谱的研究

采用密度泛函(DFT)中的B3P86方法,在Dunning的相关一致基组cc-PVTZ水平上,对铝氢化物(AlHn)(n=1-6)团簇的可能几何构型进行优化计算,得出最稳定构型的几何参数、电子结构、振动频率和光谱等性质参数,并给出了最稳定结构的总能量(ET)、结合能(EBT)、平均结合能(Eav)、电离势(EIP)、能隙(Eg)、费米能级(EF)和氢原子差分吸附能(Ediff)等．结果表明铝氢化物团簇基态稳定结构的电子态分别为：n为奇数为单重态 和 ,n为偶数为双重态 和 ;由于Al原子属于缺电子原子,能与等电子原子H化合,通过氢桥键形成氢化物,本文优化计算发现,铝氢化物团簇最稳定的构型都存在氢桥键,且n为奇数的氢化物的氢桥键作用比相邻偶数的氢化物强．最后计算了铝氢化物团簇最稳定结构的红外光谱、平均结合能、电离势、能隙和费米能级等动力学电子特性,分析得出(AlHn)(n=1-6)团簇中AlH3的电离势和能隙最大,说明该氢化物最稳定,氢原子差分吸附能最大．     

具有旋量场的量子虫洞

本文利用Hawking-Page的边界条件讨论了具有费米场的量子虫洞,导出了相应的Wheeler-DeWitt方程,计算了虫洞波函数,由虫洞波函数的分析,发现虫洞在a=0处出现几率密度为零,虫洞基态最可几半径为Planck尺度.     

聚合型铝氢化物(AlH3)n(n=1-3)的几何结构与振动光谱的研究

采用不同方法B3P86、B3LYP、B3PW91和MP2,结合Dunning的相关一致基组cc-PVTZ,对聚合型铝氢化物(AlH3)n(n=1-3)分子的可能几何构型进行优化计算,通过比较计算结果,发现密度泛函DFT中的方法B3P86计算的能量最低．本文采用B3P86方法得出最稳定构型的几何参数、电子结构、振动频率等性质参数,并给出最稳定结构的总能量(ET)、结合能(EBT)、平均结合能(Eav)、电离势(EIP)、能隙(Eg)、费米能级(EF)和差分吸附氢原子能(Ediff)．结果表明：三种铝氢化物分子基态都为1重态,电子态都为 ; AlH3分子的最稳定几何构型为 的平面三角形结构;Al2H6为对称性乙烯式 立体结构,H-Al之间生成氢桥式三中心双电子键;Al3H9为 立体结构,也生成氢桥式三中心双电子键,但三个氢桥三中心双电子键彼此隔离．最后分析了三种氢化物的红外和拉曼光谱、平均结合能、电离势、能隙和费米能级等特性,说明(AlH3)n(n=1-3)三分子中Al3H9最稳定,H-Al桥键键长比端键更长,红外光谱强度最大,差分吸附氢原子能最大,具有较强的储氢性能．     

铝氢化物(AlHn)(n=1-6)团簇结构与光谱的研究

采用密度泛函(DFT)中的B3P86方法,在Dunning的相关一致基组cc-PVTZ水平上,对铝氢化物(AlHn)(n=1-6)团簇的可能几何构型进行优化计算,得出最稳定构型的几何参数、电子结构、振动频率和光谱等性质参数,并给出了最稳定结构的总能量(ET)、结合能(EBT)、平均结合能(Eav)、电离势(EIP)、能隙(Eg)、费米能级(EF)和氢原子差分吸附能(Ediff)等．结果表明铝氢化物团簇基态稳定结构的电子态分别为：n为奇数为单重态 和 ,n为偶数为双重态 和 ;由于Al原子属于缺电子原子,能与等电子原子H化合,通过氢桥键形成氢化物,本文优化计算发现,铝氢化物团簇最稳定的构型都存在氢桥键,且n为奇数的氢化物的氢桥键作用比相邻偶数的氢化物强．最后计算了铝氢化物团簇最稳定结构的红外光谱、平均结合能、电离势、能隙和费米能级等动力学电子特性,分析得出(AlHn)(n=1-6)团簇中AlH3的电离势和能隙最大,说明该氢化物最稳定,氢原子差分吸附能最大．     

聚合型铝氢化物(AlH3)n(n=1-3)的几何结构与振动光谱的研究

采用不同方法B3P86、B3LYP、B3PW91和MP2,结合Dunning的相关一致基组cc-PVTZ,对聚合型铝氢化物(AlH3)n(n=1-3)分子的可能几何构型进行优化计算,通过比较计算结果,发现密度泛函DFT中的方法B3P86计算的能量最低．本文采用B3P86方法得出最稳定构型的几何参数、电子结构、振动频率等性质参数,并给出最稳定结构的总能量(ET)、结合能(EBT)、平均结合能(Eav)、电离势(EIP)、能隙(Eg)、费米能级(EF)和差分吸附氢原子能(Ediff)．结果表明：三种铝氢化物分子基态都为1重态,电子态都为 ; AlH3分子的最稳定几何构型为 的平面三角形结构;Al2H6为对称性乙烯式 立体结构,H-Al之间生成氢桥式三中心双电子键;Al3H9为 立体结构,也生成氢桥式三中心双电子键,但三个氢桥三中心双电子键彼此隔离．最后分析了三种氢化物的红外和拉曼光谱、平均结合能、电离势、能隙和费米能级等特性,说明(AlH3)n(n=1-3)三分子中Al3H9最稳定,H-Al桥键键长比端键更长,红外光谱强度最大,差分吸附氢原子能最大,具有较强的储氢性能．