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Excited State   1:      Singlet-EU     2.1766 eV  569.61 nm  f=0.0148  =0.000
      94 -> 96         0.46537
      95 -> 97         0.53687
      94 <- 96         0.11978
      95 <- 97         0.11527
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c111999

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Originally posted by yongleli at 2010-07-21 17:06:33:


Çë¸ø¸öÎÄÏ×£¿

ÎҼǵÃ
K. Burke, J. Werschnik, and E. K. U. Gross, J. Chem.
Phys. 123: 062206(2005)
˵¹ý£¬CasidaÍÆµ¼¹ý£¬TD-DFT¼ÆËã·½³Ì×îºóÄÜ»¯¼ò
Ϊһ¸ö·ÇHermite¾ØÕóµÄ±¾Õ÷ÖµÎÊÌ⣺

(A B)(x ...

ллָÕý -1

TDDFT/TDHFÏ൱ÓÚCISD£¬¸ü׼ȷµØËµÊÇCCSD
J. Chem. Phys., Vol. 109, No. 19, 15 November 1998

¡°the TDDFT results rival the very accurate
equation of motion coupled cluster singles and doubles
£¨EOM-CCSD£© calculations¡±

¹ØÓÚΪºÎTDDFT±ÈCISºÃµÄÔ­Òò
¡°Mathematically, this is also identical to computing matrix ele-
ments between doubly excited states and the ground state.
Thus we see that RPA includes higher order correlation ef-
fects through double excitations that are not being accounted
for in the configuration interaction singles method.¡±

¹ØÓÚÈ¥¼¤·¢Ì¬ÎÞÎïÀíÒâÒå
Chem. Rev. 2005, 105, 4009−4037

This statement ought to reflect the attempt to give a math-
ematical procedure a physical meaning, but of course,
the ¡°de-excitations¡± are nonphysical since one cannot
de-excite the Hartree Fock ground state. Historically
one can justify this statement, since TDHF (RPA) has
been constructed to include correlation effects in the
ground state by virtue of some classes of ¡°doubly
excited¡° Slater determinants, and in this context, one
can indeed speak about ¡°de-excited¡± states.
¡­¡­
This again is indicated by the magni-
tude of the Y amplitudes, which are a measure of the
ground-state correlation and which, as a consequence,
should be small compared to the X amplitudes.

[ Last edited by c111999 on 2010-7-21 at 21:46 ]
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faqianliu

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