Ag. Ushveridze, DISSIPATIVE QUANTUM-MECHANICS - A SPECIAL DOEBNER-GOLDIN EQUATION, ITS PROPERTIES AND EXACT-SOLUTIONS, Physics letters. A, 185(2), 1994, pp. 123-127
It is demonstrated that there exists a physically reasonable nonlinear
Schrodinger equation having the same set of stationary solutions as t
he corresponding linear equation. It can be viewed as a special limiti
ng case of the Doebner-Goldin equations. Its nonstationary solutions d
escribe dissipative processes. Some exact dissipative solutions are co
nstructed.