Convergence behavior of variational perturbation expansion---a method for locating Bender-Wu singularities

DOI10.1016/0375-9601(95)00521-4zbMath1020.81577arXivquant-ph/9509005OpenAlexW3099801241MaRDI QIDQ1965725

Wolfhard Janke, Hagen Kleinert

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9509005

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (9)

Summation of divergent series: order-dependent mapping ⋮ Comparative study of quantum anharmonic potentials ⋮ Variational interpolation algorithm between weak- and strong-coupling expansions---application to the polaron ⋮ Variational perturbation approach to resonance-state wave functions. ⋮ Recursive calculation of effective potential and variational resummation ⋮ Tunnelling amplitudes from perturbation expansions ⋮ 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 ⋮ Large-D expansion from variational perturbation theory

Cites Work

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• Precise variational tunneling rates of anharmonic oscillator for \(g<0\)

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