Airy function - exact WKB results for potentials of odd degree

DOI10.1088/0305-4470/32/7/020zbMath0928.34069arXivmath-ph/9811001OpenAlexW3100166054MaRDI QIDQ4258378

André Voros

Publication date: 12 January 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9811001

zbMATH Keywords

1D homogeneous Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (9)

Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited ^* ⋮ Exact sum rules for inhomogeneous systems containing a zero mode ⋮ Exact sum rules for inhomogeneous strings ⋮ Calculation of the characteristic functions of anharmonic oscillators ⋮ On the simpleness of zeros of Stokes multipliers ⋮ On the relation between Stokes multipliers and the \(T\)-\(Q\) systems of conformal field theory ⋮ The zeta function for the triangular potential ⋮ A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards ⋮ Spectral branch points of the Bloch–Torrey operator

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