A particle-number-conserving solution to the generalized pairing problem

A particle-number-conserving solution to the generalized pairing problem

An exact, number-conserving solution to the generalized, orbit-dependent pairing problem is derived by introducing an infinite-dimensional algebra. A method for obtaining eigenvalues and eigenvectors of the corresponding Hamiltonian is also given. The relevance of the orbit-dependent pairing solution is demonstrated by comparing predictions of the model with shell-model calculations. q 1998 Els...

Nuclear Pairing Problem with Exact Particle Number Conservation

AN ADAPTIVE WAVELET SOLUTION TO GENERALIZED STOKES PROBLEM

In this paper we will present an adaptive wavelet scheme to solvethe generalized Stokes problem. Using divergence free wavelets, theproblem is transformed into an equivalent matrix vector system, thatleads to a positive definite system of reduced size for thevelocity. This system is solved iteratively, where the applicationof the infinite stiffness matrix, that is sufficiently compressible,is r...

Mixed Solution to the Number Problem

You must either save a group of m people or a group of n people. If there are no morally relevant diff erences among the people, which group should you save? Th is problem is known as the number problem. Th e recent discussion has focussed on three proposals: (i) Save the greatest number of people, (ii) Toss a fair coin, or (iii) Set up a weighted lottery, in which the probability of saving m p...

Pairing - correlations and particle - number projection methods

A systematic study of the pairing-correlations derived from various particle-number projection methods is performed in an exactly soluble cranked-deformed shell model Hamiltonian. It is shown that most of the approximate particle-number projection methods including the method of Lipkin-Nogami, which is used quite extensively in nuclear structure studies, breakdown in the weak pairing limit. The...