Distributional Borel summability of odd anharmonic oscillators
- 11 May 2000
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 33 (20), 3753-3770
- https://doi.org/10.1088/0305-4470/33/20/303
Abstract
It is proved that the divergent Rayleigh-Schrödinger perturbation expansions for the eigenvalues of any odd anharmonic oscillator are Borel summable in the distributional sense to the resonances naturally associated with the system.Keywords
This publication has 16 references indexed in Scilit:
- Large-order perturbation theory for a non-Hermitian 𝓟𝓣-symmetric HamiltonianJournal of Mathematical Physics, 1999
- Schrödinger operators with complex potential but real spectrumPhysics Letters A, 1998
- Real Spectra in Non-Hermitian Hamiltonians HavingSymmetryPhysical Review Letters, 1998
- Applying the linear δ expansion to theinteractionPhysical Review D, 1998
- Double wells: Nevanlinna analyticity, distributional Borel sum and asymptoticsCommunications in Mathematical Physics, 1996
- Bender-Wu branch points in the cubic oscillatorJournal of Physics A: General Physics, 1995
- Stark resonances: Asymptotics and distributional Borel SumCommunications in Mathematical Physics, 1993
- Coupling-constant behavior of the resonances of the cubic anharmonic oscillatorPhysical Review A, 1988
- The distributional Borel summability and the large coupling ?4 lattice fieldsCommunications in Mathematical Physics, 1986
- Perturbation theory of odd anharmonic oscillatorsCommunications in Mathematical Physics, 1980