Stochastic Models for Many Body Systems Ii Finite Systems And Statistical Non

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Stochastic Models for Many Body Systems Ii Finite Systems And Statistical Non
R H Kraichnan
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The general model Hamlltoniaxi corresponding to (5. I) is H = H^ + H. , IL. = eZ q +a, - -0 -1 -c a^a ^ ' H. = m -^L —1 hz ^.. J „, 6 „ . , a "'"a + (5. 5) ■PHX apM\ a+p, M-+\^a % %% where the collective operators q^^ are defined by '^a = M"2z;^exp(i2rtan/M)qr 1, (5A) as in Sec. 2. 1, and obey I:V^p];^=0-• K'%^. = %- (5. 5) For each of our model types (ladder, ring, random- coupling, or Hartree-Fock) the

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