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We generalize the Weisskopf-Wigner theory for the line shape and transitionrates of decaying states to the case of the energy-driven stochasticSchr\"odinger equation that has been used as a phenomenology for state vectorreduction. Within the standard approximations used in the Weisskopf-Wigneranalysis, and assuming that the perturbing potential inducing the decay hasvanishing matrix elements within the degenerate manifold containing thedecaying state, the stochastic Schr\"odinger equation linearizes. Solving thelinearized equations, we find no change from the standard analysis in the lineshape or the transition rate per unit time. The only effect of the stochasticterms is to alter the early time transient behavior of the decay, in a way thateliminates the quantum Zeno effect. We apply our results to estimateexperimental bounds on the parameter governing the stochastic effects.Comment: 29 pages in RevTeX, Added Note, references adde

Weisskopf-Wigner decay theory for the energy-driven stochastic Schrödinger equation