Abstract: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.Comment: Accepted for publications in Journal of Mathematical Physic
It is recognized that, apart from the total energy conservation, there is a nonlocal and a somewhat hidden symmetry in this model. Conditions for the existence of this observable, its form and its explicit construction are presented.
It is recognized that, apart from the total energy conservation, there is a nonlocal and a somewhat hidden symmetry in this model. Conditions for the existence of this observable, its form and its explicit construction are presented.
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