TY - JOUR

T1 - Sum rules for spin-1/2 quantum gases in states with well-defined spins. II. Spin-dependent two-body interactions

AU - Yurovsky, Vladimir A.

N1 - Publisher Copyright:
© 2015 American Physical Society.

PY - 2015/9/21

Y1 - 2015/9/21

N2 - Sums of matrix elements of spin-dependent two-body momentum-independent interactions and sums of their products are calculated analytically in the basis of many-body states with given total spin - the states built from spin and spatial wave functions belonging to multidimensional irreducible representations of the symmetric group, unless the total spin has the maximal allowed value. As in the first part of the series [V. A. Yurovsky, Phys. Rev. A 91, 053601 (2015)PLRAAN1050-294710.1103/PhysRevA.91.053601], the sum dependence on the many-body states is given by universal factors, which are independent of the Hamiltonians of noninteracting particles. The sum rules are applied to perturbative analysis of energy spectra and to calculation of two-body spin-dependent local correlations.

AB - Sums of matrix elements of spin-dependent two-body momentum-independent interactions and sums of their products are calculated analytically in the basis of many-body states with given total spin - the states built from spin and spatial wave functions belonging to multidimensional irreducible representations of the symmetric group, unless the total spin has the maximal allowed value. As in the first part of the series [V. A. Yurovsky, Phys. Rev. A 91, 053601 (2015)PLRAAN1050-294710.1103/PhysRevA.91.053601], the sum dependence on the many-body states is given by universal factors, which are independent of the Hamiltonians of noninteracting particles. The sum rules are applied to perturbative analysis of energy spectra and to calculation of two-body spin-dependent local correlations.

UR - http://www.scopus.com/inward/record.url?scp=84943197119&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.92.033618

DO - 10.1103/PhysRevA.92.033618

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AN - SCOPUS:84943197119

SN - 1050-2947

VL - 92

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 3

M1 - 033618

ER -