Large orders and summability of eigenvalue perturbation theory: A mathematical overview

Barry Simon

Type: Article

Publication Date: 1982-01-01

Citations: 191

DOI: https://doi.org/10.1002/qua.560210103

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Locations

International Journal of Quantum Chemistry - View

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+	Nonlinear Sequence Transformations: Computational Tools for the Acceleration of Convergence and the Summation of Divergent Series	2001	Ernst Joachim Weniger
+ PDF Chat	From useful algorithms for slowly convergent series to physical predictions based on divergent perturbative expansions	2007	Emanuela Caliceti Michael Meyer‐Hermann Paolo Ribeca A. Surzhykov Ulrich D. Jentschura
+	The distributional Borel summability and the large coupling ?4 lattice fields	1986	Emanuela Caliceti V. Grecchi Marco Maioli
+	High-order stark effect perturbation series for hydrogenic ions via the perturbational-variational Rayleigh-Ritz formalism	1986	Jeremiah N. Silverman Jürgen Hinze
+	Information-theoretic approach to the convergence of perturbation expansions	1986	Jeremiah N. Silverman Danail Bonchev O. E. Polansky
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+	Path integral for the quartic oscillator: an accurate analytic formula for the partition function	2024	Michel Caffarel
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Works Cited by This (46)

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+	Asymptotic perturbation expansion in theP(φ)2 quantum field theory	1974	J. Dimock
+	The mathematical theory of resonances whose widths are exponentially small	1980	Evans M. Harrell Barry Simon
+	Positivity of the ϕ34 Hamiltonian	1973	James Glimm Arthur Jaffe
+ PDF Chat	The $(\phi\sp{2n})\sb{2}$ field Hamiltonian for complex coupling constant	1972	Lon Rosen Barry Simon
+	Perturbation theory of eigenvalue problems	1969	Franz Rellich B. J. Berkowitz
+	Convergence of regularized, renormalized perturbation series for super-renormalizable field theories	1969	Barry Simon
+ PDF Chat	Stark Effect Revisited	1978	Ira Herbst Barry Simon
+	Summation of divergent series by order dependent mappings: Application to the anharmonic oscillator and critical exponents in field theory	1979	R. Seznec Jean Zinn‐Justin
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+ PDF Chat	The Zeeman effect revisited	1977	J. E. Avron Ira Herbst Barry Simon