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The Lindblad master equation for an open quantum system with a Hamiltoniancontaining an arbitrary potential is written as an equation for the Wignerdistribution function in the phase space representation. The time derivative ofthis function is given by a sum of three parts: the classical one, the quantumcorrections and the contribution due to the opening of the system. In theparticular case of a harmonic oscillator, quantum corrections do not exist.Comment: 19 pages, Latex, accepted for publication in Int. J. Mod. Phys.

PHASE SPACE REPRESENTATION FOR OPEN QUANTUM SYSTEMS WITHIN THE LINDBLAD THEORY