Non-Markovian master equation of Harmonic oscillator and two-level systems are investigated using the hyper-operator approach. Exact solution of time evolution operator of Harmonic oscillator is obtained exactly. For ...
supported by the FAPESP No.2011/21812-8,through IFT-UNESP
Following the approach of our previous paper we continue to study the asymptotic solution of periodic Schrodinger operators. Using the eigenvalues obtained earlier the corresponding asymptotic wave functions are deriv...
Supported by the National Natural Science Foundation of China under Grant Nos.11025525,11575089;the CAS Center for Excellence in Particle Physics(CCEPP)
We study two aspects of higher dimensional operators in standard model effective field theory.We first introduce a perturbative power counting rule for the entries in the anomalous dimension matrix of operators with e...
We study the problem of how the Floquet property manifests for periodic Schr6dinger operators,which axe known to have multiple of asymptotic spectral solutions.The main conclusions are made for elliptic potentials,we ...
Supported by National Natural Science Foundation of China under Grant Nos.11471139,11271202,11221091,11425104;Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20120031110022;National Natural Science Foundation of Jilin Province under Grant No.20140520054JH
In this paper, we study(n-1)-order deformations of an n-Lie algebra and introduce the notion of a Nijenhuis operator on an n-Lie algebra, which could give rise to trivial deformations. We prove that a polynomial of a ...
Supported by Shandong Provincial Key Laboratory of Marine Ecology and Environment&Disaster Prevention and Mitigation project under Grant No.2012010;National Natural Science Foundation of China under Grant No.11271007;Special Funds for Theoretical Physics of the National Natural Science Foundation of China under Grant No.11447205;Shandong University of Science and Technology Research Fund under Grant No.2012KYTD105
With the aid of binary Bell polynomial and a general Riemann theta function, we introduce how to obtain the exact periodic wave solutions by applying the generalized Dpˉ-operators in term of the Hirota direct method ...
The problem of reconstructing the spatial support of an extended radiating electric current source density in a lossy dielectric medium from transient boundary measurements of the electric fields is studied. A time re...
supported by the Scientific and Technical Research Council of Turkey
We intend to realize the step-up and step-down operators of the potential V (x) = V1 e 2βx+V2 e βx. It is found that these operators satisfy the commutation relations for the SU(2) group. We find the eigenfunctions ...
supported by the Specialized Research Fund for the Doctorial Progress of the Higher Education of China under Grant No.20040358019;the National Natural Science Foundation of China under Grant No.10775097
We re-explain the Weyl quantization scheme by virtue of the technique of integration within Weyl orderedproduct of operators,i.e.,the Weyl correspondence rule can be reconstructed by classical functions' Fourier trans...
National Natural Science Foundation of China under Grant Nos.10775097 and 10874174
We propose a new two-fold integration transformation in p-q phase space∫∫^∞-∞dpdq/π e^2i(p-x)(q-y)f(p,q)≡G(x,y),which possesses some well-behaved transformation properties. We apply this transformation t...