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831.
Shinsaku Fujita 《Theoretical chemistry accounts》1989,76(4):247-268
Summary Enumerations of compounds based on a parent skeleton with and without the influence of obligatory minimum valency (OMV) are reported. The effect of the OMV is formulated by assigning different weights to the respective orbits of the parent skeleton. This type of enumeration requires introduction of several new concepts that are derived from the subduction of coset representations, e.g., a unit subduced cycle index, a subduced cycle index and the number of suborbits. 相似文献
832.
Marcello Bernardara 《Mathematische Nachrichten》2009,282(10):1406-1413
A semiorthogonal decomposition for the bounded derived category of coherent sheaves on a Brauer–Severi scheme is given. It relies on bounded derived categories of suitably twisted coherent sheaves on the base (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
833.
In this paper, by using holomorphic support function of strictly pseudoconvex domain on Stein manifolds and the kernel defined by DEMAILY J P and Laurent Thiebaut, we construct two integral operators Tq and Sq which are both belong to Cs+αp,q-1((**)D) and obtain integral representation of the solution of (p,q)-form (**)b-equation on the boundary of pseudoconvex domain in Stein manifolds and the Lsp,q extimates for the solution. 相似文献
834.
Periodica Mathematica Hungarica - Let a1&;lt;... be an infinite sequence of positive integers, let k≥2 be a fixed integer and denote by Rk(n) the number of solutions of n=ai1+ai2+...+aik.... 相似文献
835.
836.
Staring from a discrete matrix spectral problem, a hierarchy of lattice soliton equations is presented though discrete zero curvature representation. The resulting lattice soliton equations possess non-local Lax pairs. The Hamiltonian structures are established for the resulting hierarchy by the discrete trace identity. Liouville integrability of resulting hierarchy is demonstrated. 相似文献
837.
Olga V. Man’ko 《Journal of Russian Laser Research》2007,28(2):125-135
Shannon entropy and information are applied to study the properties of quantum states of a system in the probability representation
of quantum mechanics. Examples of spin states and mixed Gaussian states of the two-mode system are considered. The relationship
between the new entropy and the von Neumann entropy is reviewed. Two tomographic maps are considered within the framework
of the star-product quantization. The explicit expression of tomographic entropy associated with photon-number tomogram of
the two-mode state of photons is obtained in terms of Hermite polynomials of four variables.
Based on a contribution to the International Conference “New Trends in Quantum Mechanics. Fundamental Aspects and Applications”
(Palermo, Italy, November 2005). 相似文献
838.
839.
Using the coherent state representation of Wigner operator and the technique of integration within an ordered product (IWOP) of operators, this paper derives the Wigner functions for the photon-depleted even and odd coherent states (PDEOCSs). Moreover, in terms of the Wigner functions with respect to the complex parameter a the nonclassical properties of the PDEOCSs are discussed. The results show that the nonclassicality for the state |β, m〉o (or |β,m〉e) is more pronounced when m is even (or odd). According to the marginal distributions of the Wigner functions, the physical meaning of the Wigner functions is given. Further, the tomograms of the PDEOCSs are calculated with the aid of newly introduced intermediate coordinate-momentum representation in quantum optics. 相似文献
840.
It has been shown recently that the unique, global solution of the Dirichlet problem of the nonlinear Schrödinger equation on the half-line can be expressed through the solution of a 2×2 matrix Riemann–Hilbert problem. This problem is specified by the spectral functions {a(k),b(k)} which are defined in terms of the initial condition q(x,0)=q
0(x), and by the spectral functions {A(k),B(k)} which are defined in terms of the specified boundary condition q(0,t)=g
0(t) and the unknown boundary value q
x
(0,t)=g
1(t). Furthermore, it has been shown that given q
0 and g
0, the function g
1 can be characterized through the solution of a certain 'global relation' coupling q
0, g
0, g
1, and (t,k), where satisfies the t-part ofthe associated Lax pair evaluated at x=0. We show here that, by using a Gelfand–Levitan–Marchenko triangular representation of , the global relation can be explicitly solved for g
1. 相似文献