We study the generalization of the previous collapse model known as quantum mechanics with universal position localizations (QMUPL), which accounts for both memory and dissipative effects. After deriving the nonlocal action describing the system’s dynamics, we solve the equation of motion for a quantum harmonic oscillator via the path integral formalism. We give the explicit expression for the Green’s function of the process. We focus on the case of an exponential correlation function and we analyze in detail the behavior Gaussian wave functions. In particular, we study the collapse process, comparing the results with those of related models.
