Notes on the Riccati operator equation in open quantum systems
  A recent problem [B. Gardas, J. Math. Phys. 52, 042104 (2011)] concerning an antilinear solution of the Riccati equation is solved. We also exemplify that a simplification of the Riccati equation, even under reasonable assumptions, can lead to a not equivalent equation. 
Bartek Gardas and Zbigniew Puchala
math-ph math.MP