林彥璋 博士 (研究助技師)
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In the present work, we present an investigation of Collins Conjecture, a hypothesismade by D. M. Collins in 1993 relating correlation energy and entanglement entropy,by calculating the ground state and singly-excited triplet-spin 1s2s 3S and 1s3s 3Sstate energies of the helium iso-electronic sequence, with Z = 2–15. By using exten-sive orthonormal configuration interaction (CI) type wave functions with B-Splinebasis up to about 6000 terms, linear entropy and von Neumann entropy for theabovementioned atomic systems are determined. Together with the Hartree-Fockenergies obtained following a self-consistent field theory, we have found that thereexist linearly proportionalities between the renormalized correlation energies andentanglement entropies of both linear and von Neumann, showing a support forCollins Conjecture applicable to the ground and singly-excited triplet-spin states inthe helium sequence, for a range of finite Z-values.
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最後更新於 2025-02-08 11:52:15
地址: 106319 台北市羅斯福路四段一號 或 106923 臺北臺大郵局 第23-166號信箱
電話:886-2-2362-0212 傳真:886-2-2362-0200 電子郵件:iamspublic@gate.sinica.edu.tw
最後更新於 2025-02-08 11:52:15