共查询到20条相似文献,搜索用时 15 毫秒
1.
SHAOMing-Xue ZHUZHONG-Yuan 《理论物理通讯》2001,35(3):263-266
The Weil‘s integrality condition of prequantization is generalized to two-dimensional phase space with boundaries.It is shown that in the prequantization condition a term related to the symplectic potential on the boundary appears.The necessity of the generalized condition is proved by analyzing the isolated singularities of the Hermitian bundle while the sufficiency of the condition is proved via geometric construction on the space of equivalence class. 相似文献
2.
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
3.
By using a sheaf-theoretical language, we introduce a notion of deformation quantization allowing not only for formal deformation parameters but also for real or complex ones as well. As a model for this approach to deformation quantization, we construct a quantization scheme for cotangent bundles of Riemannian manifolds. Here, we essentially use a complete symbol calculus for pseudodifferential operators on a Riemannian manifold. Depending on a scaling parameter, our quantization scheme corresponds to normally ordered, Weyl or antinormally ordered quantization. Finally, it is shown that our quantization scheme induces a family of pairwise isomorphic strongly closed star products on a cotangent bundle. 相似文献
4.
In this paper, we define lower-dimensional volumes of spin manifolds with boundary. We compute the lower-dimensional volume Vol(2'2) for 5-dimensional and 6-dimensional spin manifolds with boundary and we also get the Kastler-Kalau-Walze type theorem in this case. 相似文献
5.
S. K. Donaldson 《Journal of Geometry and Physics》1992,8(1-4):89-122
This paper investigates boundary value problems for Hermitian Yang—Mills equations over complex manifolds. The main result is the unique solubility of the Dirichlet problem for the Hermitian Yang—Mills equation. Connections with a number of topics are found, including the link with loop groups. 相似文献
6.
We give a lower bound for the eigenvalues of the Dirac operator on a compact domain of a Riemannian spin manifold under the
MIT bag boundary condition. The limiting case is characterized by the existence of an imaginary Killing spinor.
Mathematics Subject Classifications (2000). Differential Geometry, Global Analysis, 53C27, 53C40, 53C80, 58G25, 83C60. 相似文献
7.
Let P be an operator of Dirac type and let D=P
2 be the associated operator of Laplace type. We impose spectral boundary conditions and study the leading heat content coefficients for D. 相似文献
8.
9.
S.I. Muslih 《Czechoslovak Journal of Physics》2002,52(12):1303-1311
The Hamilton-Jacobi method of constrained systems is discussed. The equations of motion for a singular system with time dependent constraints are obtained as total differential equations in many variables. The integrability conditions for the relativistic particle in a plane wave lead us to obtain the canonical phase space coordinates without using any gauge fixing condition. As a result of the quantization, we get the Klein-Gordon theory for a particle in a plane wave. The path integral quantization for this system is obtained using the canonical path integral formulation method. 相似文献
10.
Yong Wang 《Letters in Mathematical Physics》2006,77(1):41-51
In this Letter, for an even-dimensional compact manifold with boundary which has the non-product metric near the boundary, we use the noncommutative residue to define a conformal invariant pair. For a four-dimensional manifold, we compute this conformal invariant pair under some conditions and point out the way of computations in the general. 相似文献
11.
JUGuo-Xing ZhaoXian-Lin 《理论物理通讯》2002,37(4):397-404
The solution transformations and properties of the R-matrices for two-component systems under these transformations are analyzed in details.Not all transformed R-matrices can be put into the Skalyanin‘s formalism.For those R-matrices with all required properties,the effects of solution transformations to the six-and eight-vertex systems with open boundary conditions are discussed.these effects can be one of the following types:the Hamiltonian is invariant or transposition-invariant or made in a similarity transformation,or its coupling coefficients are multiplied by an overall factor,or the spin of the system is rotated around the z axis or/and reflected with respect to some plane.In these cases,the transformed systems remain to be integrable. 相似文献
12.
For a one-dimensional dissipative system with position depending coefficient, two constant of motion are deduce. These constants
of motion bring about two Hamiltonians to describe the dynamics of same classical system. However, their quantization describe
the dynamics of two completely different quantum systems.
PACS numbers: 03.20.+i; 03.30.+ p; 03.65.-w 相似文献
13.
14.
Juri Agresti Roberto De Pietri Luca Lusanna Luca Martucci 《General Relativity and Gravitation》2004,36(5):1055-1134
In the framework of the rest-frame instant form of tetrad gravity, where the Hamiltonian is the weak ADM energy
, we define a special completely fixed 3-orthogonal Hamiltonian gauge, corresponding to a choice of non-harmonic 4-coordinates, in which the independent degrees of freedom of the gravitational field are described by two pairs of canonically conjugate Dirac observables (DO)
. We define a Hamiltonian linearization of the theory, i.e. gravitational waves, without
introducing any background 4-metric, by retaining only the linear terms in the DO's in the super-hamiltonian constraint (the Lichnerowicz equation for the conformal factor of the 3-metric) and the quadratic terms in the DO's in
. We solve all the constraints of the linearized theory: this amounts to work in a well defined post-Minkowskian Christodoulou-Klainermann space-time. The Hamilton equations imply the wave equation for the DO's
, which replace the two polarizations of the TT harmonic gauge, and that linearized Einstein's equations are satisfied. Finally we study the geodesic equation, both for time-like and null geodesics, and the geodesic deviation equation. 相似文献
15.
HE Jing-Song CHEN Shi-Rong 《理论物理通讯》2005,44(8)
Hamiltonian formalism of the mKdV equation with non-vanishing boundary valueis re-examined by a revised form of the standard procedure. It is known that the previous papers did not give the final results and involved some questionable points [T.C. Au Yeung and P.C.W. Fung, J. Phys. A 21 (1988) 3575]. In this note, simple results are obtained in terms of an affine parameter and a Galileo transformation is introduced to ensure the results compatible with those derived from the inverse scattering transform. 相似文献
16.
Sami I. Muslih 《Czechoslovak Journal of Physics》2003,53(12):1163-1171
We investigate the path-integral quantization of constrained systems with second-order Lagrangians using the Hamilton-Jacobi method. The path-integral quantization for two models is obtained using the canonical path-integral method. 相似文献
17.
18.
Natural Convection in a Concentric Annulus: A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method 下载免费PDF全文
Yang Hu Xiao-Dong Niu Shi Shu Haizhuan Yuan & Mingjun Li 《advances in applied mathematics and mechanics.》2013,5(3):321-336
In this paper, a boundary condition-enforced IBM is introduced into the LBM
in order to satisfy the non-slip and temperature boundary conditions, and natural
convections in a concentric isothermal annulus between a square outer cylinder and a
circular inner cylinder are simulated. The obtained results show that the boundary
condition-enforced method gives a better solution for the flow field and the complicated
physics of the natural convections in the selected case is correctly captured. The
calculated average Nusselt numbers agree well with the previous studies. 相似文献
19.
Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions 下载免费PDF全文
In this paper, we present two-level defect-correction finite element method
for steady Navier-Stokes equations at high Reynolds number with the friction boundary
conditions, which results in a variational inequality problem of the second kind.
Based on Taylor-Hood element, we solve a variational inequality problem of Navier-Stokes
type on the coarse mesh and solve a variational inequality problem of Navier-Stokes
type corresponding to Newton linearization on the fine mesh. The error estimates
for the velocity in the $H^1$ norm and the pressure in the $L^2$ norm are derived.
Finally, the numerical results are provided to confirm our theoretical analysis. 相似文献
20.
Robert S. Callihan & Aihua W. Wood 《advances in applied mathematics and mechanics.》2012,4(6):703-718
Here considered is the problem of transient electromagnetic scattering from
overfilled cavities embedded in an impedance ground plane. An artificial boundary
condition is introduced on a semicircle enclosing the cavity that couples the
fields from the infinite exterior domain to those fields inside. A Green's
function solution is obtained for the exterior domain, while the interior problem
is solved using finite element method. Well-posedness of the associated variational
formulation is achieved and convergence and stability of the numerical scheme are confirmed. Numerical experiments show the accuracy and robustness of the method. 相似文献