Potential Analysis · 2015 · 44 citations · 19 references
Natural SciencesPhysicsDynamical SystemsStochastic ProcessesOperator TheorySchrödinger EquationHardy SpacesNon-explosion PrincipleOperator InequalitiesOperator SemigroupsSturm - Liouville TheorySturm-liouville Theory
We prove non-explosion results for Schrödinger perturbations of symmetric transition densities and Hardy inequalities for their quadratic forms by using explicit supermedian functions of their semigroups.
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Spectral theory of the operator (p 2+m 2)1/2−Ze 2/r
Ira Herbst · Communications in Mathematical Physics · 1977 · 500 citations