共查询到18条相似文献,搜索用时 156 毫秒
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研究当存在边界的情形下 Dirac场的正则量子化问题. 采用文献[1]的观点, 将边界条件当作Dirac初级约束.与已有研究不同的是, 本文从离散的角度研究此问题. 将Dirac场的拉氏量和内在约束进行离散化, 并且将离散的边界条件当作初级Dirac约束. 因此, 从约束的起源来看, 这个模型中存在两种不同的约束: 一种是由于模型的奇异性而带来的约束, 即内在约束; 另一种是边界条件. 在对此模型进行正则量子化过程中提出一种能够平等地处理内在约束和边界条件的方法. 为了证明该方法能够平等地对待这两种起源不同的约束, 在计算Dirac 括号时分别选取了两个不同的子集合来构造"中间Dirac括号", 最后得到了相同的结果.
关键词:
边界条件
Dirac约束
Dirac括号 相似文献
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研究了带边界条件有质量复标量场的量子化. 与把边界条件当作Dirac约束方法不同, 我们在经典解空间研究这个问题, 利用Fadeev-Jackiw(FJ)方法获得所有傅里叶模的对易关系, 避免用Dirac方法而产生的问题. 相似文献
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用Faddeev-Jackiw(FJ)方法对与规范场偶合的规范自对偶场进行了研究, 获得了一个新的辛Lagrangian密度, 导出了此系统的FJ广义括号, 并对其进行了FJ量子化. 进而把FJ方法和Dirac方法进行了比较, 发现在对此系统的量子化中, 两种方法所给出的量子化结果完全是等价的. 通过分析可知FJ方法比Dirac方法要简单, 因FJ方法不需要区分初级约束与次级约束, 而且也不需要区分第一类约束和第二类约束. 故与Dirac方法相比, FJ方法是一种计算上更为经济和有效的量子化方法. 相似文献
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给出了高阶徽商场论中奇异拉氏量系统规范生成元的构成.从相空间中Green函数的生成泛函出发,导出了约束Hamilton系统正则形式的Ward恒等式.指出该系统的量子正则方程与由Dirac猜想得到的经典正则方程不同.给出了与Chern-Simons理论等价的一个广义动力学系统的量子化.将正则Ward恒等式初步应用于该系统,不作出对正则动量的路径积分,也可导出场的传播子与正规顶角之间的某些关系. 相似文献
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本文在空间格点上利用虚时间步长方法求解了球形Dirac方程, 着重研究了出现的假态问题. 利用三点数值导数公式离散方程中一阶导数项, 可以证明对于量子数为 κ 和 -κ的单粒子能级能量是完全相同的, 其中一个为物理解, 另一个为假态. 通过在径向Dirac方程中引入Wilson 项, 可以解决假态问题, 得到全部物理解. 文章以 Woods-Saxon 势为例, 考虑 Wilson 项后, 得到与打靶法一致的结果. 相似文献
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采用薄层模型brick-wall方法,计算了一般球对称带电蒸发黑洞Dirac场的熵,通过适当选择时间依赖的截断因子,仍可得出黑洞熵与视界面积成正比的结论.
关键词:
熵
蒸发黑洞
薄层模型
Dirac场
Dirac方程 相似文献
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Yong Wang Qing Wang Yi Huang Zheng-Wen Long Jian Jing 《International Journal of Theoretical Physics》2013,52(7):2263-2274
We study the problem of quantizing the classical fields with intrinsic second class constraints in a finite volume in this paper. To illustrate our idea clearly, we study the classical Schrodinger field in a finite volume. We work in the discrete version and take the discrete boundary conditions (BCs) as primary Dirac constraints, both Dirichlet and Neumann BCs are considered. We find it is possible to treat the BCs and intrinsic constraints on the same footing. 相似文献
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We analyse the physical constraints of the higher derivative Chern–Simons gauge model by means of Faddeev–Jackiw symplectic approach in the first-order formalism. Within such framework, we systematically determine the zero-mode structure of the corresponding symplectic matrix. In addition, we calculate the Faddeev–Jackiw quantum brackets by choosing appropriate gauge-fixing conditions and evaluate the determinant of the non-singular symplectic matrix as well as the transition-amplitude. Finally, we present a detailed Hamiltonian analysis using Dirac–Bergmann algorithm method and show that the Dirac brackets coincide with the FJ brackets when all the second-class constraints are treated as zero equations. 相似文献
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Yong-Hong Guo Jun-Ying Ma Jian Jing Yi Huang Zheng-Wen Long 《International Journal of Theoretical Physics》2008,47(7):1877-1884
The problem of canonical quantization of singular systems in a finite volume is studied by analysing a non-relativistic field
theory. Firstly, we take the boundary conditions (BCs) as primary Dirac constraints. The quantization is performed canonically
using Dirac’s procedure. Then, we quantize this model canonically in the classical solution space. We show that these two
different quantization schemes are equivalent although they start from different settings. 相似文献
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Ronaldo Thibes 《Brazilian Journal of Physics》2017,47(1):72-80
We perform the canonical and path integral quantizations of a lower-order derivatives model describing Podolsky’s generalized electrodynamics. The physical content of the model shows an auxiliary massive vector field coupled to the usual electromagnetic field. The equivalence with Podolsky’s original model is studied at classical and quantum levels. Concerning the dynamical time evolution, we obtain a theory with two first-class and two second-class constraints in phase space. We calculate explicitly the corresponding Dirac brackets involving both vector fields. We use the Senjanovic procedure to implement the second-class constraints and the Batalin-Fradkin-Vilkovisky path integral quantization scheme to deal with the symmetries generated by the first-class constraints. The physical interpretation of the results turns out to be simpler due to the reduced derivatives order permeating the equations of motion, Dirac brackets and effective action. 相似文献
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M.M. Sheikh-Jabbari A. Shirzad 《The European Physical Journal C - Particles and Fields》2001,19(2):383-390
In this article we show that boundary conditions can be treated as Lagrangian and Hamiltonian constraints. Using the Dirac
method, we find that boundary conditions are equivalent to an infinite chain of second class constraints, which is a new feature
in the context of constrained systems. Constructing the Dirac brackets and the reduced phase space structure for different
boundary conditions, we show why mode expanding and then quantizing a field theory with boundary conditions is the proper
way. We also show that in a quantized field theory subjected to the mixed boundary conditions, the field components are non-commutative.
Received: 16 October 2000 / Revised version: 8 January 2001 / Published online: 23 February 2001 相似文献
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We study the scalar electrodynamics (S Q E D 4) and the spinor electrodynamics (Q E D 4) in the null-plane formalism. We follow Dirac’s technique for constrained systems to analyze the constraint structure in both theories in detail. We impose the appropriate boundary conditions on the fields to fix the hidden subset first class constraints that generate improper gauge transformations and obtain a unique inverse of the second-class constraint matrix. Finally, choosing the null-plane gauge condition, we determine the generalized Dirac brackets of the independent dynamical variables, which via the correspondence principle give the (anti)-commutators for posterior quantization. 相似文献
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In this paper quasi-exact solvability (QES) of Dirac equation with some scalar potentials based on sl(2) Lie algebra is studied. According to the quasi-exact solvability theory, we construct the configuration of the classes II, IV, V, and X potentials in the Turbiner's classification such that the Dirac equation with scalar potential is quasi-exactly solved and the Bethe ansatz equations are derived in order to obtain the energy eigenvalues and eigenfunctions. 相似文献