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.
BT - J. Math. Phys LA - eng N1 - arXiv:1111.4380 IF=1.291(2010); 5IF=1.210(2010); N2 -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.
PY - 2012 EP - 012106 T2 - J. Math. Phys TI - Notes on the Riccati operator equation in open quantum systems VL - 53 ER -