Scaling property of variational perturbation expansion for a general anharmonic oscillator with \(x^p\)-potential

DOI10.1016/0375-9601(95)00126-NzbMath1020.81576arXivquant-ph/9502018OpenAlexW1967335473MaRDI QIDQ1965505

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/9502018

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (4)

Variational interpolation algorithm between weak- and strong-coupling expansions---application to the polaron ⋮ A RECURSION TECHNIQUE FOR DERIVING RENORMALIZED PERTURBATION EXPANSIONS FOR ONE-DIMENSIONAL ANHARMONIC OSCILLATOR ⋮ Tunnelling amplitudes from perturbation expansions ⋮ Variational resummation for \(\varepsilon\)-expansions of critical exponents of nonlinear \(O(n)\)-symmetric \(\sigma\)-model in \(2+\varepsilon\) dimensions

Cites Work

• Variational calculation of effective classical potential at \(T\neq 0\) to higher orders
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