From exact-WKB toward singular quantum perturbation theory II

André Voros ()
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André Voros: CEA, Service de Physique Théorique de Saclay (CNRS URA 2306)

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 321-334 from Springer

Abstract: Abstract Following earlier studies, several new features of singular perturbation theory for one-dimensional quantum anharmonic oscillators are computed by exact WKB analysis; former results are thus validated.

Keywords: Schrödinger equation; exact WKB analysis; perturbation theory; semiclassical asymptotics; quartic oscillator; complete elliptic integrals; hyperelliptic integrals; Wronskian identity; spectral determinant; spectral zeta function; zeta regularization; divergent integrals (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-73240-2_26

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DOI: 10.1007/978-4-431-73240-2_26

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