Project supported by the National Basic Research Program of China(Grant No.2012CB922103);the National Natural Science Foundation of China(Grant Nos.11175113,11274104,and 11404108);the Natural Science Foundation of Hubei Province,China(Grant No.2011CDA021)
We find the time evolution law of a negative binomial optical field in a diffusion channel. We reveal that by adjusting the diffusion parameter, the photon number can be controlled. Therefore, the diffusion process ca...
supported by National Natural Science Foundation of China(Grant Nos.11171014 and 91130009);National Basic Research Program of China(Grant No.973-2010CB-731900)
Wavelet shrinkage is a strategy to obtain a nonlinear approximation to a given function f and is widely used in data compression,signal processing and statistics,etc.For Calder′on-Zygmund operators T,it is interestin...
Project supported by the National Basic Research Program of China(Grant No.2012CB922103);the National Natural Science Foundation of China(GrantNos.11175113 and 11274104);the Natural Science Foundation of Hubei Province of China(Grant No.2011CDA021)
The evolution of a pure coherent state into a chaotic state is described very well by a master equation, as is validated via an examination of the coherent state's evolution during the diffusion process, fully utiliz...
Project supported by the National Natural Science Foundation of China (Grant Nos. 11264018 and 60978009);the Major Research Plan of the National Natural Science Foundation of China (Grant No. 91121023);the National Basic Research Project of China (Grant No. 2011CBA00200);the Young Talents Foundation of Jiangxi Normal University,China
For the first time,we derive the compact forms of normalization factors for photon-added(-subtracted) two-mode squeezed thermal states by using the P-representation and the integration within an ordered product of o...
Supported by the National Natural Science Foundation of China under Grant Nos 10774188,11074301;the National Basic Research Program of China under Grant No 2012CB921704.
Similar to the bosonization method in one dimension,we divide the electron operators in phase space into two component operators,and study three-dimensional homogeneous electron gas with a strong correlation effect.We...
Supported by the National Natural Science Foundation of China under Grant No 10974225;the National Basic Research Program of China under Grant No 2012CB922102.
In order to model the most general quantum operation on a d-dimensional system,a d^(2)-dimensional environment is usually needed.We focus on the quantum dephasing process and find that this channel can be modeled by a...
supported in part by NSFC under the Grant 60773165;NSFC Key Project under the Grant 10990013;National Key Basic Research Project of China under the Grant 2004CB318000
Geometric partial differential equations of level-set form are usually constructed by a variational method using either Dirac delta function or co-area formula in the energy functional to be minimized. However, the eq...
Supported by National 973 Program of China(Grant No.19990751)
In this paper, we obtain that a strongly singular integral operator is bounded on Lω^p. space for 1 〈 p 〈 ∞. We also obtain that a strongly singular integral operator is a bounded operator from Hω^p, to Lω^p for...
Project supported by the National Natural Science Foundation of China; the Cheung-Kong Scholarship of the Ministry of Education of China; the Qiu Shi Foundation and the 973 Project of the Ministry of Science and Technology of China.
The author presents an extension of the Atiyah-Patodi-Singer invariant for unitary representations [2,3] to the non-unitary case, as well as to the case where the base manifold admits certain finer structures. In part...
Project supported by the State Education Commission, the 973 Project "Nonlinear Science" ; the National Natural Science Foundation of China (No.9725104, No.19971084).
The determinant representation of the gauge transformation operators is establised. In this process, the generalized Wronskian determinant is introduced. As a simple application, the authors present a construction of ...