Generalized Wick's theorem for multiquasiparticle overlaps as a limit of Gaudin's theorem

Pérez-Martín, S.; Robledo, L. M.

doi:10.1103/physrevc.76.064314

Cited by 30 publications

(35 citation statements)

References 9 publications

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“…We use the formalism in [32,33] because we are most familiar with it, but of course other derivations can be found elsewhere in the literature (e.g., [13,27,29,45] and references therein). For example, in [45] the generalized Wick's theorem for multi-quasiparticle overlaps has been obtained out of the corresponding statistical version. In this latter reference, the contractions are given by compact expressions that can accommodate many quasi-particle excitations.…”

Section: Discussionmentioning

confidence: 99%

Microscopic and nonadiabatic Schrödinger equation derived from the generator coordinate method based on zero- and two-quasiparticle states

et al. 2011

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A new approach called the Schrödinger Collective Intrinsic Model (SCIM) has been developed to achieve a microscopic description of the coupling between collective and intrinsic excitations. The derivation of the SCIM proceeds in two steps. The first step is based on a generalization of the symmetric moment expansion of the equations derived in the framework of the Generator Coordinate Method (GCM), when both Hartree-Fock + BCS (HF+BCS) states and two-quasiparticle excitations are taken into account as basis states. The second step consists in reducing the generalized Hill and Wheeler equation to a simpler form to extract a Schrödinger-like equation. The validity of the approach is discussed by means of results obtained for the overlap kernel between HF+BCS states and two-quasi-particle excitations at different deformations.

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Section: Discussionmentioning

confidence: 99%

Microscopic and nonadiabatic Schrödinger equation derived from the generator coordinate method based on zero- and two-quasiparticle states

et al. 2011

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“…In this appendix the standard result of [12] for the trace of a density operator is deduced from Eq. (13). I start considering is obtained up to a sign, which is the sought formula of Ref.…”

Section: Appendix Bmentioning

confidence: 99%

“…In this case, however, Neergard's method has not been implemented up to date, leaving as the only choice the continuity method in such finite temperature calculations. The same difficulty also applies to * luis.robledo@uam.es the recently proposed method to compute multi-quasiparticle overlaps that relays on the statistical Wick's theorem [13]. Recently, [14] the group structure of the unitary Bogoliubov transformation has been discussed, as well as its implications in the relative phase between two HFB wave functions.…”

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confidence: 99%

Sign of the overlap of Hartree-Fock-Bogoliubov wave functions

2009

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“…Using the facts that the fourth-order moment of a Gaussian variable is three times the variance square [27][28] [29]and that () n K is symmetric, and taking the expected on both sides of equation ( …”

Section: Steady-state Msdmentioning

confidence: 99%

New Variable Step-size of l1-LMS Algorithm

Guan

Zhang

2016

Proceedings of the 8th International Conference on Signal Processing Systems

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In order to quickenthe convergence rateand enhanceperformanceforanti-noise when identify the unknown coefficients of a sparse system. A variable step-size l 1 -LMS algorithm is proposed. In this paper, using current error and correlation value of errorto adjust step-size and zero-attracting part. Moreover, when the current error satisfies different conditions, the two step-size formulas will switch dynamically. Some l 1 -LMS algorithms availableadapted fixed step-size. However, fixed step-size cannot balance the contradictions convergence rate and the steady-state mean square error (MSE), efficiently.In addition, how to improve performance for noise resistance may be still a problem even with correlated inputs.All are the problem needs to be studied urgently. In order to solve theabovedifficulties,an improvedvariable step-size l 1 -LMS algorithm is proposed. Performances of the proposed l 1 -LMS algorithm are analyzed.After theoretical analysis,the algorithm, experiments with different signal-to-noiseratio (SNR) are given to show the efficiency of the proposed l 1 -LMS algorithm. The variable step-size l 1 -LMS algorithm can achieve faster convergence rate, and implacable anti-noise, and identify the unknown coefficients efficiently.

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Generalized Wick's theorem for multiquasiparticle overlaps as a limit of Gaudin's theorem

Cited by 30 publications

References 9 publications

Microscopic and nonadiabatic Schrödinger equation derived from the generator coordinate method based on zero- and two-quasiparticle states

Microscopic and nonadiabatic Schrödinger equation derived from the generator coordinate method based on zero- and two-quasiparticle states

Sign of the overlap of Hartree-Fock-Bogoliubov wave functions

New Variable Step-size of l1-LMS Algorithm

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