Proof corrections for "Heavy Quarks in the Quark-Gluon Plasma" by R. Rapp and H. van Hees page 114, line 12: replace (m_\mu/m_e)^4 by (m_e/m_\mu)^4 p.114, 1.paragraph, line 3 from bottom: The relations -> The relation p.115, footnote: Ref 40 -> Ref. 40. p.116, 2.paragraph, line 7: However, this ``degeneracy" -> This ``degeneracy" p.116, 2.pp, line 14: Obviously, the secondary yield -> The secondary charmonium yield p.122, Sec. 2.2, line 3: relaible -> reliable p.135, 2.line after eq. (48): \Gamma_I^{q,Q} = 2 \Sigma _I^{q,Q} -> \Gamma_I^{q,Q} = - 2 \Sigma _I^{q,Q} p.136, 1. paragraph, lines 2/3 from bottom: but represent a rough (average) representation of the asymptotic value -> but roughly represent the (average) asymptotic value p.139, 8.line from bottom of 1.paragraph: For$\alpha_s \simeq 0.2$ -> For $\alpha_s \simeq 0.2$ p.152, 5.line after eq. (72): probelm -> problem p.154, line 7 of 2.paragraph: e.g. at impact parameter -> e.g., at impact parameter p.177, line 8 after eq. (93): lead to spectral functions -> leads to spectral functions p.179, caption of Fig. 32, line 3: $\gamma_c$ -> $\Gamma_c$ p.179, eq.(96) and following line: $\epsilon_B$ -> $\varepsilon_B$ p.180, caption of Fig. 33, line 2: within nonrelativistic -> within a nonrelativistic p.180, caption of Fig. 33, line 2/3: and (ii) an lQCD-based -> (ii) a lQCD-based p.180, caption of Fig. 33, line 6: However, in calculation (i) -> In calculation (i) p.180, footnote j, line 2: in temporal direction^{184} -> in temporal direction (and physically correspond to HQ scattering).^{184} p.182, line 2: \frac{7}{5} -> \frac{10}{7} p.182, line 6 from bottom: as well, thus enabling -> as well, enabling p.183, caption of Fig. 35, line 4: in-medium decreasing $\varepsilon_B$.^{47,187} -> in-medium decreasing $\varepsilon_B$ (solid line).^{47,187} p.184, 2.paragraph, line 4 from bottom: feed down -> feed-down p.185, Sec. 4.2.1, line 1: time-evolution -> time evolution p.186, 1.line after eq. (105): The thermal open-charm (and -bottom) number -> The thermal open-charm (bottom) number p.186, line 7 after eq. (105): $D$-mesons -> $D$ mesons p.187, last line of 2.paragraph: time dependent -> time-dependent p.188, first line: $Q-\bar{Q}$-production -> $Q\bar{Q}$ production p.188, Sec.4.2.2, first line of 2.paragraph: feed down -> feed-down p.189, caption of Fig. 36, last line: average squared $J/\psi$ transverse momentum. -> average $J/\psi$ transverse momentum (squared in the left panel). p.191, caption of Fig. 37, last line: is operative. -> is operative (solid line). p.191, first line: ratio, basically given by the ratio of thermal densities -> ratio, given by the thermal densities p.191, 2.paragraph, line 5/6: feed down -> feed-down p.193, caption of Fig. 39, line 5: nucleon-participant number -> participant-nucleon number p.193, last line: thermal blast wave -> thermal blast wave at $T_c$. p.194, 2.paragraph, line 7: open-charm -> open charm p.195, 1.paragraph, line 2/3 from bottom: stronger nuclear absorption of $J/\psi$'s at RHIC -> a stronger nuclear absorption of $J/\psi$'s at forward rapidity at RHIC p.195, 3.paragraph, line 1: should lead to -> leads to p.196, 2.paragraph, line 7: bottom-quarks -> bottom quarks p.196, line 2 from bottom: feed down -> feed-down p.196, last line: this underlines again the importance -> this underlines the importance p.197, caption of Fig. 41, line 2: dissociation-cross section -> dissociation cross section p.197, caption of Fig. 41, line 4: left panel). -> right panel). p.198, last line of 1. paragraph: and ultimately -> weakens and ultimately p.199, line 3: $D$-mesons -> $D$ mesons p.199, line 4: elextron -> electron p.199, 2.paragraph, line 5: are both viable. -> are viable. p.199, 2.paragraph, line 5 from bottom: cold-nuclear matter effects -> cold-nuclear-matter effects References: p.203, Ref. 115: Y. Akamatsu, ... arXiv:0809.1499 [hep-ph]. -> Y. Akamatsu, ... Phys, Rev. C 79 (2009) 054907. p.205, Ref. 213: E.G. Ferreiro ... arXiv:0809.4684 [hep-ph]. -> E.G. Ferreiro ... Phys. Lett. B 680 (2009) 50. p.205, Ref. 214: D. Kharzeev ... arXiv:0809.2933 [hep-ph]. -> D. Kharzeev ... Nucl. Phys. A 826 (2009) 230.