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

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