共查询到18条相似文献,搜索用时 500 毫秒
1.
程衍富 《数学建模及其应用》2005,(2):31-36
利用Kinani-Daoud方法构造了非谐振子势的Gazeau-Klauder(GK)相干态和Klauder-Perelomov(KP)相干态,表明两种相干态在非线性谐振子势下具有完全不同的形式,并对两种相干态的完备性以及各自构成的Hilbert空间进行了讨论. 对相干态的Mandel Q参数的研究表明:GK相干态服从亚Poisson统计分布,KP相干态服从超Poisson统计分布. 相似文献
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本文构造了李超代数OSP(1,2)的一种新的相干态--两分量相干态。这种两分量相干态形成OSP(1,2)代数的一种新表示。获得了OSP(1,2)代数的一种非齐次微分实现。分析了这种新相干态的压缩性质。发现OSP(1,2)代数的奇生成元可以改变这种两分量相干态的压缩性质。 相似文献
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迹距离相干度量是基于迹范数提出的量化相干的一种度量.然而,很难给出一般量子态迹距离相干度量的表达式并且找到对应的最近非相干态.通过最优化方法给出了一类d×d量子态的迹距离相干度量,并且证明了这类量子态的最近非相干态就是由该量子态去掉所有非对角元素得到的对角矩阵. 相似文献
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该文讨论了形变诺振子相干态的一些有意义的性质,利用量子代数SUq(3)的形变谐振子实现,构造了SU3(q)在玻色、费米两种情况下的相干态. 相似文献
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本文利用相干态的性质把相互作用表象中演化算符所满足的方程化为相干态对应c数方程,并用正规乘积内积分法求出了平方型含时外源和线性含时外源共存时的谐振子Feynman转换矩阵元的一般形式。 相似文献
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Global formulas for eigenfunctions and solutions to the Cauchy problem, including the path integral representation, are obtained using the coherent states technique. The reduction of coherent states via symmetry groups is studied for a transformation from Bessel to hypergeometric states. The eigenfunctions of the Hamiltonian for the hydrogen atom in a homogeneous magnetic field are expressed in terms of Bessel coherent states. For a small field, after quantum averaging, the Hamiltonian is represented in terms of generators with quadratic commutation relations. The irreducible representations of this quadratic algebra are realized on hypergeometric states. The notion of deformed hypergeometric states is also introduced for this quadratic algebra as an analog of squeezed Gaussian packets of the Heisenberg algebra. The asymptotic equations of eigenfunctions with respect to a small field and a large leading quantum number are derived using these states and their deaveraging. Some explicit formulas for the Zeeman splitting of the spectrum are obtained up to the fourth order with respect to the field, as well as for lower and upper levels in the cluster, including the case of incidence on the center.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 108, No. 3, pp. 339–387, September, 1996. 相似文献
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Wolfram Decker 《manuscripta mathematica》1982,38(1):59-76
In this paper we consider coherent complex-analytic sheaves F on a complex-analytic space X, and study two canonical topologies, inductive resp. projective locally convex, on F(A,F) for subsets ax. We are interested in conditions on A for which these topologies coincide, and get as a main result that this is the case for real analytic spaces which can be imbedded in some l and have the original X as a complexification. By complexification we apply our results to coherent real-analytic sheaves. 相似文献
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Let Q be a finite quiver without oriented cycles. Denote by U (Q) the fine moduli space of stable thin sincere representations of Q with respect to the canonical stability notion. We prove Ext
(Q)
l
(U, U) = 0 for all l > 0 and compute the endomorphism algebra of the universal bundle U. Moreover, we obtain a necessary and sufficient condition for when this algebra is isomorphic to the path algebra of the quiver Q. If so, then the bounded derived categories of finitely generated right k Q-modules and that of coherent sheaves on (Q) are related via the full and faithful functor –
kQ
L
U. 相似文献
15.
S. Mirzaei G. Najarbashi M. A. Fasihi F. Mirmasoudi 《Theoretical and Mathematical Physics》2018,196(1):1028-1042
We study the entanglement of multiqubit fermionic pseudo-Hermitian coherent states (FPHCSs) described by anticommutative Grassmann numbers. We introduce pseudo-Hermitian versions of well-known maximally entangled pure states, such as Bell, GHZ, Werner, and biseparable states, by integrating over the tensor products of FPHCSs with a suitable choice of Grassmannian weight functions. As an illustration, we apply the proposed method to the tensor product of two- and three-qubit pseudo-Hermitian systems. For a quantitative characteristic of entanglement of such states, we use a measure of entanglement determined by the corresponding concurrence function and average entropy. 相似文献
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If is a group, then the category of -graded categorical groups is equivalent to the category of categorical groups supplied with a coherent left-action from . In this paper we use this equivalence and the homotopy classification of graded categorical groups and their homomorphisms to develop a theory of extensions of categorical groups when a fixed group of operators is acting. For this kind of extensions we show a suitable Schreiers theory and a precise theorem of classification, including obstruction theory, which generalizes both known results when the group of operators is trivial (categorical group extensions theory) or when the involved categorical groups are discrete (equivariant group extensions theory).Mathematics Subject Classifications (2000) 18D10, 18B40, 20J05, 20J06.Partially supported by MTM2004-01060. 相似文献
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We categorify the R-matrix isomorphism between tensor products of minuscule representations of
Uq(\mathfraksln)U_{q}({\mathfrak{sl}}_{n})
by constructing an equivalence between the derived categories of coherent sheaves on the corresponding convolution products
in the affine Grassmannian. The main step in the construction is a categorification of representations of
Uq(\mathfraksl2)U_{q}({\mathfrak{sl}}_{2})
which are related to representations of
Uq(\mathfraksln)U_{q}({\mathfrak{sl}}_{n})
by quantum skew Howe duality. The resulting equivalence is part of the program of algebro-geometric categorification of Reshitikhin-Turaev
tangle invariants developed by the first two authors. 相似文献
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K. Thirulogasanthar A. Krzyżak Q. D. Katatbeh 《Theoretical and Mathematical Physics》2006,149(1):1366-1381
The quaternionic vector coherent states are realized as coherent states of the supersymmetric harmonic oscillator with broken
symmetry in analogy with the standard canonical coherent states of the ordinary harmonic oscillator. We study the nonclassical
properties of the oscillator, such as the photon number distribution and signal-to-quantum-noise ratio in terms of these states
and discuss the squeezing properties and the temporal stability of the coherent states. We obtain the orthogonal polynomials
associated with the quaternionic vector coherent states.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 149, No. 1, pp. 80–98, October, 2006. 相似文献