0000000000321060

AUTHOR

Jacek Karwowski

showing 2 related works from this author

Symmetric-group approach to the study of the traces ofp-order reduced-density operators and of products of these operators

1990

In this work we give the values of traces of p-order reduced-density operators. These traces are obtained by application of the spin functions and of the symmetric-group properties. The relations obtained here will allow an easy and fast evaluation of the high-order spin-adapted reduced Hamiltonian matrix elements and high-order Hamiltonian moments.

PhysicsPure mathematicsFast evaluationsymbols.namesakeHamiltonian matrixSymmetric groupsymbolsReduced density matrixSymmetry groupOperator theoryHamiltonian (quantum mechanics)Atomic and Molecular Physics and OpticsEigenvalues and eigenvectorsPhysical Review A
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Traces of symmetry-adapted reduced density operators

1990

Formulae are derived for traces of symmetry-adapted reduced density operators in a finite-dimensional, antisymmetric and spin-adapted space. The traces are expressed in terms of traces of products of the orbital occupation number operators.

Particle number operatorAntisymmetric relationSpin systemGeneral Physics and AstronomyStatistical and Nonlinear PhysicsGeometryEigenfunctionSpace (mathematics)Mathematical PhysicsSymmetry (physics)Mathematical physicsMathematicsJournal of Physics A: Mathematical and General
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