A new method to evaluate operator moments for fixed angular momentum

J. J.M. Verbaarschot; P. J. Brussaard

doi:10.1016/0370-2693(81)91063-7

A new method to evaluate operator moments for fixed angular momentum

J. J.M. Verbaarschot
, P. J. Brussaard

Physics and Astronomy

Utrecht University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

With the use of a generalization of Wick's theorem it is possible to derive an explicit expression for the fixed-J, T trace of any power of a rotationally invariant operator in a given shell-model configuration space. The results have been worked out for the first and second moments of a hamiltonian. Exact results are compared with those obtained from an Edgeworth approximation for the number of states for fixed angular-momentum projection.

Original language	English
Pages (from-to)	201-208
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	102
Issue number	2-3
DOIs	https://doi.org/10.1016/0370-2693(81)91063-7
State	Published - Jun 11 1981

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title = "A new method to evaluate operator moments for fixed angular momentum",

abstract = "With the use of a generalization of Wick's theorem it is possible to derive an explicit expression for the fixed-J, T trace of any power of a rotationally invariant operator in a given shell-model configuration space. The results have been worked out for the first and second moments of a hamiltonian. Exact results are compared with those obtained from an Edgeworth approximation for the number of states for fixed angular-momentum projection.",

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T1 - A new method to evaluate operator moments for fixed angular momentum

AU - Verbaarschot, J. J.M.

AU - Brussaard, P. J.

PY - 1981/6/11

Y1 - 1981/6/11

N2 - With the use of a generalization of Wick's theorem it is possible to derive an explicit expression for the fixed-J, T trace of any power of a rotationally invariant operator in a given shell-model configuration space. The results have been worked out for the first and second moments of a hamiltonian. Exact results are compared with those obtained from an Edgeworth approximation for the number of states for fixed angular-momentum projection.

AB - With the use of a generalization of Wick's theorem it is possible to derive an explicit expression for the fixed-J, T trace of any power of a rotationally invariant operator in a given shell-model configuration space. The results have been worked out for the first and second moments of a hamiltonian. Exact results are compared with those obtained from an Edgeworth approximation for the number of states for fixed angular-momentum projection.

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U2 - 10.1016/0370-2693(81)91063-7

DO - 10.1016/0370-2693(81)91063-7

M3 - Article

AN - SCOPUS:0008431456

SN - 0370-2693

VL - 102

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2-3

ER -

A new method to evaluate operator moments for fixed angular momentum

Abstract

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