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.
MSC:
| 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 |
References:
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