Many-body theory exposed!

Propagator description of

quantum mechanics in many-body systems

Corrections updated 12/15/08

• Page 36: Under Fig. 3.1 replace -Z2/n2 by -Z2/2n2.
• Page 46: In Fig. 3.8 replace 0p½ by 1p½ in the row that starts with N=3.
• Page 72: Download the correct Equation (4.53). In addition, the value of h = 10.463 MeV.
• Page 80: In the second line under the caption of Fig. 5.1 replace T=1 by T=0.
• Page 93: In Eq.(5.75) replace (μ - ε) by (ε - μ) in the denominator of the integrand.
• Page 94: In Eq.(5.81) replace (μ - ε) by (ε - μ) in the denominator of the integrand.
• Page 95: In Eq.(5.84) replace in the last term the numerator by [48λ N]1/3 and the denominator by RF.
• Page 110: in the first line of Eq.(6.59) the factor Gl (k;E) in the second term should read G(0)(k;E).
• Page 111: in the first equality of Eq.(6.64) the factor Gl (r,r1;E) in the second term should read G(0)(r,r1;E).
• Page 118: in Eq.(7.10) the third line contains a ket with a superscript n that should be replaced by N.
• Page 145: Eq.(8.20) contains the matrix element of the two-body interaction with angled brackets. These should be replaced by round ones.
• Page 146: Eq.(8.21) contains the matrix element of the two-body interaction with angled brackets. These should be replaced by round ones.
• Page 207: In Eq.(10.50) replace the subscript i in the differentiation by k.
• Page 208: In Eq.(10.60) interchange the labels p and h everywhere after the first = sign.
• Page 216: The vertical axis label in Fig.10.2 should contain an additional factor r.
• Page 218: in Eq.(10.94) the factor with (2 l +1) should read (2 l '+1).
• Page 226: in Eq.(10.130) the arguments x1 and x2 should be replaced by r1 and r2, respectively.
• Page 232: In Eq.(10.161) replace one of G propagators on the right by G(0)
• Page 234: in the second line of Eq.(10.172) the term 2xp2p2 appearing in the denominator should be replaced by 2xp1p2.
• Page 238: under Eq.(10.184) both references to Eq.(7.10) should be replaced by Eq.(4.20).
• Page 258: in the second line of Eq.(11.73) the sign after the E in the denominator should be a +.
• Page 270: above Eq.(11.121) replace Eq.(11.3) by Eq.(11.9).
• Page 312: in Eq.(12.134) Δ2 should be replaced by Δ .
• Page 312: under Eq.(12.134) instead of Eq.(12.24) it should read Eq.(12.124).
• Page 313: at the end of problem (1) the second φξ should be replaced by φ .
• Page 313: at the end of problem (2) ξmin should be replaced by ξmin aHO.
• Page 316: in Eq.(13.1) the first limit should contain t+ instead of t' and in the second limit t' should be replaced by t'+.
• Page 321: in Eq.(13.19) the factor 1/4 should be eliminated.
• Page 339: in Eq.(13.71) all the p' and h' should be replaced by p and h, respectively.
• Page 345: in Eq.(13.97) the unperturbed particle-hole energy should be added to the A-matrix as in Eq.(13.54).
• Page 372: In Eq.(14.73) replace the "+" sign in the second line by a "-" sign and do the opposite in the last line.
• Page 411: in Eq.(15.30) the two removal operators should be interchanged.
• Page 443: in Eq.(16.21) instead of the derivative of ΠRPA it should read the derivative of Π(0).
• Page 445: in Eq.(16.24) the factor V2(k) should be replaced by V2(q) .
• Page 450: in Eq.(16.37) term in the denominator with Im Πf should read 2V(q) Im Πf.
• Page 451: in Eq.(16.44) there should be an obvious minus sign in the exponent.
• Page 466: in the caption of figure 16.19 solid and dotted should be interchanged.
• Page 485: in the second term of the right hand side of Eq.(17.1) a factor 1/2 is missing.
• Page 506: in the second term of the right hand side of Eq.(17.42) a factor 1/2 is missing.
• Page 527: in Eq.(18.21) the factors of 1/2 should be eliminated for V2,1 and V1,2.
• Page 540: in Fig.18.4 diagram d) is incorrect, since it is identical to a). The correct diagram is the mirror image of b).
• Page 598: in the second term of the right hand side of Eq.(20.14) a factor 1/2 is missing.
• Pages 647-649: the references to the diagrams of Fig. 21.4c) and 21.4d) should be interchanged.
• Page 647: In Eq.(21.22) replace the factor (2j2+1) by (2j1+1).
• Page 647: In Eq.(21.23) replace the "+" sign in the last line by a "-" sign.
• Page 665: in Eq.(22.6) the order of the operators in the second commutator should be reversed.
• Page 666: under Eq.(22.12) the operator in the Heisenberg picture should have the signs in the exponents interchanged as in Eq.(7.3).
• Page 674: In the second line of Fig. 22.3 the indices 11 in the second self-energy must be replaced by 22. Correspondingly, the same replacement must be made in the second line of Eq. (22.31).
• Page 675: The + sign in the second line of Eq.(22.36) must be replaced by a - sign!
• Page 678: in the second relation in Eq.(22.46) Fp should be replaced by -Fp.
• Page 678: in footnote 3, in the expression for V(r) "int" should be replaced by the $\int$ sign.
• Page 723: the reference Kramers, G. J. ... should read Kramer, G. J. ...
• Page 724: the correct reference is Nambu and not Namby
• ...