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Open Quantum Systems Decoherence Quantum Simulation

Wave functions of the Q.Q interaction in terms of unitary 9-j coefficients

arXiv

Authors: Larry Zamick, Matthew Harper

Year

2013

Paper ID

8466

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

We obtain wave functions for 2 protons and 2 neutrons in the g_{9/2} shell expressed as column vectors with amplitudes DJ_p,J_n. When we use a quadrupole-quadrupole interaction (Q.Q) we get, in many cases, a very strong overlap with wave functions given by a single set of unitary 9j coefficients --U9j= ((jj)^{2j} jj^J_B \ (jj^{J_{p}} (jj)^{J_{n}})^{I}. Here J_{B}=9 for even I T =0 states. For both even and odd T=1 states we take JB equal to 8 whilst for odd I, T=0 we take JB to be 7. We compare the Q.Q results with those of a more realistic interaction.

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We obtain wave functions for 2 protons and 2 neutrons in the g_9/2 shell expressed as column vectors with amplitudes DJp,Jn.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1306.4661 [2] arXiv https://arxiv.org/abs/1306.4661 [3] Publisher https://arxiv.org/abs/1306.4661

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