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Sep 20th, 2014
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  1. variable = {Subscript[[Rho], 1, 1][t], Subscript[[Rho], 1, 2][t],Subscript[ [Rho], 1, 3][t], Subscript[[Rho], 2, 1][t], Subscript[[Rho], 2, 2][t], Subscript[[Rho], 2, 3][t],Subscript[[Rho], 3, 1][t], Subscript[[Rho], 3, 2][t], Subscript[[Rho], 3, 3][t]};
  2. init = {Subscript[[Rho], 1, 1][0] == 1, Subscript[[Rho], 1, 2][0] == 0, Subscript[[Rho], 1, 3][0] == 0, Subscript[[Rho], 2, 1][0] == 0, Subscript[[Rho], 2, 2][0] == 0, Subscript[[Rho], 2, 3][0] == 0, Subscript[[Rho], 3, 1][0] == 0, Subscript[[Rho], 3, 2][0] == 0, Subscript[[Rho], 3, 3][0] == 0};
  3.  
  4. equations = {Derivative[1][Subscript[[Rho], 1, 1]][t] == [Gamma]/
  5. 2 - [Gamma] Subscript[[Rho], 1, 1][t] -
  6. I (1/2 [CapitalOmega]Ra Subscript[[Rho], 1, 3][t] -
  7. 1/2 [CapitalOmega]Ra Subscript[[Rho], 3, 1][t]) +
  8. 1/2 [CapitalGamma] Subscript[[Rho], 3, 3][t],
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