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Perturbation theory of eigenvalue problems
Franz Rellich,B. J. Berkowitz +1 more
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The article was published on 1969-01-01 and is currently open access. It has received 600 citations till now. The article focuses on the topics: Inverse iteration & Eigenvalue perturbation.read more
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First-order relativistic corrections and spectral concentration
TL;DR: In this paper, the first-order spectral concentration in the non-relativistic limit of a Pauli Hamiltonian with firstorder relativistic corrections according to Foldy and Wouthuysen was studied.
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Concentration compactness principles for the systems of critical elliptic equations
TL;DR: In this paper, some important variants of the concentration compactness principle are established and some kinds of the elliptic systems can be investigated and the existence of nontrivial solutions to the system can be verified by the variational methods.
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Weighted Sobolev spaces of radially symmetric functions
TL;DR: In this article, the authors prove dilation invariant inequalities involving radial functions, poliharmonic operators and weights that are powers of the distance from the origin of the origin.
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Correlation energies in atoms
TL;DR: In this article, the authors present a systematic and deductive presentation of the theory and a critical appraisal of its status rather than on a compilation of numerical data, and draw attention to some unusual aspects of atomic energy levels.
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The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications
TL;DR: The main result in this paper is the determination of the Frechet derivative of an analytic function of a bounded operator, tangentially to the space of all bounded operators.