The J-Matrix Method Episode 10 doc

... potential between the two nucleons. The HH’s Method was used to describe the bound as well as the three-particle continuum states. In [43] the Complex Scaling Method was used to calculate the character- istic ... (they are Slater determinants) one is indeed neglecting the inter-cluster anti-symmetrization only. The Folding Model has the advantage of preserving the iden...

Ngày tải lên: 12/08/2014, 08:21

... parameters at the first stage of t u1 u2 7J3 u4 '1L5 011111 1 1101 1 2 1101 1 3 1101 0 4 1101 0 5 1101 0 6 1101 0 7 1100 0 8 1100 0 9 1100 0 Table 5.6 presents a typical evolution of the sequence ... be the best alternative. PREVENTING THE DEGENERACY OF IMPORTANCE SAMPLING 153 of the vector u is large, say 100 , and the number of bottleneck el...

Ngày tải lên: 12/08/2014, 07:22

... DESS. The goal of the SF method is to estimate the gradient and higher derivatives of !(u) with respect to the distributional parameter vector u, where the expected performance THE SCORE ... which the exact gradients are replaced by their estimates. Indeed, if the exact value V!(U(~)) of the gradient was available, then -V!(U(~)) would give the direction of...

Ngày tải lên: 12/08/2014, 07:22

... called the likelihood. In other words, Gt is the maximum likelihood estimator (it maximizes the likelihood) of v based on the elite samples. When the W term is present, the form of the ... To the best of our knowledge, the stochastic counterpart method in the simulation context was first suggested by Rubinstein in his PhD thesis [14]. It was applied there to...

Ngày tải lên: 12/08/2014, 07:22

... beforehand what the solution(s) should be. 2 Figure 8.5 The dodecahedron graph. 254 THE CROSS-ENTROPY METHOD the weights (costs) ctI of the edges going from one subset to the other is maximized. ... 10 for the constraints below. List for each case the minimal value obtained by the CE algorithm (with injection, if necessary) and the CPU time. In all experiments,...

Ngày tải lên: 12/08/2014, 07:22

... use the J-matrix method as a universal approach for the description of the process involving the ionization of atoms. They succeed in ad- dressing the difficult problem of correctly describing the ... in the scattering of three charged particles using the J-matrix method. Papp exploits the J-matrix structure of the Coulomb Green’s matrix to solve the Faddeev-typ...

Ngày tải lên: 12/08/2014, 08:21

... designated the “sine-like” J-matrix solution, and ˜ C(r) the “cosine-like” J-matrix solution. The sine-like solu- tion is discussed in Section 2.2.1, where the recurrence relation for the coefficients { s n } is ... 1 0, otherwise (109 ) where N ⌫ is the truncation limit in the channel ⌫ and N c is the total number of channels that are allowed to couple through the poten...

Ngày tải lên: 12/08/2014, 08:21

... using both bases. We then consider the same problem with the Coulomb term included in the calculation using the Laguerre basis. 1ReviewoftheJ-Matrix Method Here we consider the scattering of a ... along the ray re −iθ . Due to the restriction 0 ≤ θ<π/2 on the values of θ, the application of the Cauchy integral theo- rem shows that the integral along the stated ray...

Ngày tải lên: 12/08/2014, 08:21

... the odd wave 9ω-ISTP is the same but the energies of excited 4 He states are shifted down in the case of the odd wave 7ω-ISTP by approximately 100 keV or less. Therefore the deviations of the ... in the case when the finite-rank potential V of the type (34) is employed. In the case of the discrete spectrum states, the exact solutions are obtained by the calculati...

Ngày tải lên: 12/08/2014, 08:21