00581nas a2200121   4500000000100000008004100001100002300042700002200065245006700087300001100154490000700165520028700172       2012                            d1 aBartłomiej Gardas1 aZbigniew Puchała00aNotes on the Riccati operator equation in open quantum systems  a0121060 v533 a<p>Recent problem [B. Gardas, J. Math. Phys. {bf 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.</p>