The Stability of Matter in Quantum Mechanics

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Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of L\'{e}vy processes (2012, background): “There is an increasing literature studying these operators from both a probabilistic and an analytic point of view [18, 11, 12, 76, 26, 57, 34, 59, 46, 47, 60, 45, 20, 5, 56].”
Gradient estimates of harmonic functions and transition densities for Levy processes (2013, methodology): “ − m, m > 0 and a generator m− √ m2 − ∆, (see [7], [25], [21]). The generator of this process is called the relativistic Hamiltonian and it is used in some models of mathematical physics (see e.g. [22]). Proof. It is clear that assumptions (H4), (H10) are satisﬁed. The fact that (H7) holds it is ”
Dirichlet heat kernel for unimodal Lévy processes (2014, background): “Such operators are commonly used to model nonlocal phenomena [30, 12, 39, 26, 29].”
Do We Really Understand Quantum Mechanics? (2012, background): “3 For a review of the problem in the context of contemporary quantum mechanics, see [29].”