Improved convergence proof of the delta expansion and order dependent mappings

DOI10.1006/aphy.1996.0066zbMath0873.47042arXivhep-th/9505084OpenAlexW2033182357MaRDI QIDQ1355135

O. Diekmann

Publication date: 20 October 1997

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9505084

zbMATH Keywords

energy eigenvaluesconvergence of delta expansion-order dependent mappingsenergy eigenvalues of quartic anharmonic oscillatormetastable systemsquantum mechanical and higher-dimensional field theoretic systemssingle-well oscillatorvariational perturbation expansion

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (11)

Improved perturbation method and its application to the IIB matrix model ⋮ Summation of divergent series: order-dependent mapping ⋮ Fast-convergent resummation algorithm and critical exponents of φ4-theory in three dimensions ⋮ The Feynman graph representation of convolution semigroups and its applications to Lévy statistics ⋮ Ginzburg-Landau theory of type II superconductors in magnetic field ⋮ Renormalized perturbation theory for quartic anharmonic oscillator ⋮ Tunnelling amplitudes from perturbation expansions ⋮ A quantum cure for the ostrogradski instability ⋮ Variational resummation for \(\varepsilon\)-expansions of critical exponents of nonlinear \(O(n)\)-symmetric \(\sigma\)-model in \(2+\varepsilon\) dimensions ⋮ Order-dependent mappings: Strong-coupling behavior from weak-coupling expansions in non-Hermitian theories ⋮ Distribution of solutions of the fastest apparent convergence condition in optimized perturbation theory and its relation to anti-Stokes lines

This page was built for publication: Improved convergence proof of the delta expansion and order dependent mappings