Schrödinger operators in the twentieth century
By Barry Simon. 2000
158 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/2b3d272b7dad3a0c695e6d69ab4b22ffa46ee25e
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In Atomic and Molecular Physics, and Optics
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model (2010, background): “1Physically, the underlying domain › = R3, but in numerical approximation › is chosen to be a bounded domain, which is reasonable since the solution of (1.1) usually decays exponentially (c.f., e.g., [3, 26, 47 ]).”
- Mathematical Methods in Quantum Mechanics (2009, unknown): “For a recent review see Simon [51].”
- Essential self-adjointness of Schrödinger-type operators on manifolds (2002, background): “X, and [26] and the survey papers [43], [41], and [ 83 ].”
- Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations (2005, background): “In this section, we assume that P is symmetric and discuss relationships between perturbation theory, Martin boundary, and the asymptotic behavior of weighted eigenfunctions in some general cases (for other relationships between positivity and decay of Schrödinger eigenfunctions see, [2, 76, 78]).”