Keyword

eigenfunctions

Description: Functions that are mapped to scalar multiples of themselves by a linear operator, arising in differential equations, mathematical physics, and spectral analysis.

Primary topic: Spectral Theory in Mathematical Physics (30%)

Wikidata ID: wiki/Q1307821

OpenAlex ID: keywords/eigenfunctions

Perturbation Theory for Linear Operators

1995 · Tosio Kato · Classics in mathematics · 16,289

Perturbation theory for linear operators

1966 · Tosio Kato · Springer eBooks · 7,130

Zur Theorie der Metalle

1931 · H. Bethe · The European Physical Journal A · 3,764

Solution of the Schrödinger equation by a spectral method

1982 · M.D Feit, J.A Fleck, et al. · Journal of Computational Physics · 3,366

Diffusion maps

2006 · Ronald R. Coifman, Stéphane Lafon · Applied and Computational Harmonic Analysis · 2,378

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On the eigenfunctions of many‐particle systems in quantum mechanics

1957 · Tosio Kato · Communications on Pure and Applied Mathematics · 2,041

On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain

1931 · Hans A. Bethe · 1,930

Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension

1960 · M. Girardeau · Journal of Mathematical Physics · 1,748

Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps

2005 · R. R. Coifman, S. Lafon, et al. · Proceedings of the National Academy of Sciences · 1,663

The Factorization Method

1951 · L. Infeld, T. E. Hull · Reviews of Modern Physics · 1,582

Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties

1957 · T. D. Lee, Kerson Huang, et al. · Physical Review · 1,405

Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

1971 · F. Calogero · Journal of Mathematical Physics · 1,384

Zur Theorie des Ferromagnetismus

1930 · F. Bloch · The European Physical Journal A · 1,173

PILCO: A Model-Based and Data-Efficient Approach to Policy Search

2011 · Marc Peter Deisenroth, Carl Edward Rasmussen · Cambridge University Engineering Department Publications Database · 1,136

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Symmetry, Unitarity, and Geometry in Electromagnetic Scattering

1971 · P. C. Waterman · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1,098

Quantenmechanik der Sto�vorg�nge

1926 · Max Born · The European Physical Journal A · 949

Analysis on Fractals

2001 · Jun Kigami · Cambridge University Press eBooks · 933

Expansions in Eigenfunctions of Selfadjoint Operators

1968 · Ju. Berezanskiĭ · Translations of mathematical monographs · 933

Schrödinger Operators

1987 · Hans L. Cycon, Richard G. Froese, et al. · Texts and monographs in physics · 883

Inverse Spectral Theory

1987 · Pure and applied mathematics · 861

General Solutions of the Equations of Elasticity and Consolidation for a Porous Material

1956 · M. A. Biot · Journal of Applied Mechanics · 852

Mathematical Methods in Physics

2000 · 819

�ber den Grundterm der Zweielektronenprobleme von H?, He, Li+, Be++ usw.

1930 · Egil A. Hylleraas · The European Physical Journal A · 795

Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions

1964 · David Slepian · Bell System Technical Journal · 763

Zur Quantenmechanik des magnetischen Elektrons

1927 · W. Pauli · Zeitschrift für Physik · 762

Works count: 14,450

Citation count: 225,800