共查询到19条相似文献,搜索用时 46 毫秒
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在极坐标系中研究了非对易相空间中的Dirac oscillator问题.研究显示:系统的波函数可以表示为合流超几何函数,而非对易相空间Dirac oscillator的量子行为类似于朗道问题.最后,对η=0和对易极限两种特殊情况进行了简单讨论. 相似文献
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非对易相空间中角动量的分裂 总被引:10,自引:0,他引:10
非对易空间效应是一种在弦尺度下出现的物理效应. 本文首先介绍了在Schwinger表象中角动量的3个分量用产生--消灭算符的表示形式, 接着讨论了非对易相空间的量子力学代数; 然后用对易空间谐振子的产生-消灭算符表示出了在非对易情况下的角动量; 最后讨论了非对易相空间中角动量的分裂. 相似文献
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本文介绍求某些非线性演化方程的孤子解的投影矩阵方法,以求解非线性薛定谔方程为例来说明。 相似文献
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使用改进的齐次平衡方法,研究了破裂孤子方程的孤子解结构,发现它具有单孤子解,单曲线孤子解,单dromion孤子解,多dromion孤子解。 相似文献
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Following the construction of the projection operators on T
2 presented by Gopakumar, Headrick and Spradlin, we construct a set of projection operators on the integral noncommutative orbifold T
2/G(G=Z
N
, N=2, 3, 4, 6) which correspond to a set of solitons on T
2/Z
N
in noncommutative field theory. In this way, we derive an explicit form of projector on T
2/Z
6 as an example. We also construct a complete set of projectors on T
2/Z
N
by series expansions for integral case. 相似文献
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In this paper, we introduce the reduced matrix in kq representation and provide the reduced matrix elements of a projection operator \hat{P} on the rational noncommutative orbifold T2/Z4. we give the closed form for the projector by Jacobi elliptical functions. Since projectors correspond to soliton solutions of the field theory on the noncommutative orbifold, we thus present a corresponding soliton solution. 相似文献
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We analyze in detail projective modules over two-dimensional noncommutative tori and complex structures on these modules. We concentrate our attention on properties of holomorphic vectors in these modules; the theory of these vectors generalizes the theory of theta-functions. The paper is self-contained; it can be used also as an introduction to the theory of noncommutative spaces with simplest space of this kind thoroughly analyzed as a basic example. 相似文献
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Ordinary theta functions can be considered as holomorphic sections of line bundles over tori. We show that one can define generalized theta functions as holomorphic elements of projective modules over noncommutative tori (theta vectors). The theory of these new objects is not only more general, but also much simpler than the theory of ordinary theta-functions. It seems that the theory of theta vectors should be closely related to Manin's theory of quantized theta functions, but we don't analyze this relation. 相似文献
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The
-algebras A{q
i}, generated by generalised quon commutation relations are considered. The nuclearity of these algebras is proved. It is shown that A{q
i}, is isomorphic to the extension of a higher-dimensional noncommutative torus. Irreducible representations of A{q
i}, are considered. It is shown that the Fock representation is faithful. 相似文献
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We find and classify possible equivariant spin structures with Dirac operators on the noncommutative torus, proving that, similarly as in the classical case, the spectrum of the Dirac operator depends on the spin structure. 相似文献
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MEI Jian-Qin ZHANG Hong-Qing 《理论物理通讯》2005,44(8)
By using a new generally projective Riccati equation method and with the help of symbolic computation,we consider a nonlinear Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields. As a result,some new soliton solutions, rational function solution, and periodic solutions are obtained. 相似文献
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New Families of Soliton and Periodic Solutions of Bose-Einstein Condensation in Linear Magnetic Field and Time-Dependent Laser Field 总被引:1,自引:0,他引:1
MEI Jian-Qin ZHANG Hong-Qing 《理论物理通讯》2005,44(2):209-212
By using a new generally projective Riccati equation method and with the help of symbolic computation,we consider a nonlinear Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields. As a result,some new soliton solutions, rational function solution, and periodic solutions are obtained. 相似文献