A probabilistic principle and generalized Schrödinger perturbation. (English) Zbl 0748.60069

Summary: We present a probabilistic principle: for an additive functional of certain Markov processes, its smallness with time is equivalent to its smallness with space, and apply it to a perturbation problem for relativistic Schrödinger operators.


60J55 Local time and additive functionals
60H25 Random operators and equations (aspects of stochastic analysis)
81Q15 Perturbation theories for operators and differential equations in quantum theory
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