Caliceti, E.; Maioli, M. Odd anharmonic oscillators and shape resonances. (English) Zbl 0521.47009 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 38, 175-186 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 Documents MSC: 47A55 Perturbation theory of linear operators 81Q15 Perturbation theories for operators and differential equations in quantum theory Keywords:anharmonic oscillators; shape resonances; uniform boundedness of the resolvents; Weyl sequence; bound state perturbation theory; dilation analytic potentials; generalized resonances; dilation analyticity Citations:Zbl 0446.47044 PDFBibTeX XMLCite \textit{E. Caliceti} and \textit{M. Maioli}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 38, 175--186 (1983; Zbl 0521.47009) Full Text: Numdam EuDML References: [1] N.I. Akhiezer , I.M. Glazman , Theory of Linear Operators in Hilbert Space , vol. II , New York , Ungar , 1963 . · Zbl 0098.30702 [2] E. Caliceti , S. Graffi , M. Maioli , Comm. Math. Phys. , t. 75 , 1980 , p. 51 - 66 . Article | MR 581569 | Zbl 0446.47044 · Zbl 0446.47044 · doi:10.1007/BF01962591 [3] S. Coleman , The Uses of Instantons . Lectures delivered at the 1977, International School of Subnuclear Physics Ettore Majorana . [4] A. Davydov , Quantum Mechanics , Oxford , New York , Pergamon Press , 1965 . MR 468691 [5] I.M. Glazman , Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators . Jerusalem , Israel Program for Scientific Translations , 1965 . MR 190800 | Zbl 0143.36505 · Zbl 0143.36505 [6] E. Vock , W. Hunziker , Stability of Schrödinger Eigenvalue Problems . Comm. Math. Phys. , t. 83 , 1982 , p. 281 - 302 . Article | MR 649163 | Zbl 0528.35023 · Zbl 0528.35023 · doi:10.1007/BF01976045 [7] T. Kato , Perturbation Theory for Linear Operators . Berlin , Heidelberg , New York , Springer , 1966 . MR 203473 | Zbl 0148.12601 · Zbl 0148.12601 [8] M.A. Naimark , Linear Differential Operators, Part II , New York , Ungar , 1968 . Zbl 0227.34020 · Zbl 0227.34020 [9] M. Reed , B. Simon , Methods of Modern Mathematical Physics , vol. II , New York , Academic Press , 1975 . Zbl 0308.47002 · Zbl 0308.47002 [10] M. Reed , B. Simon , Methods of Modern Mathematical Physics , vol. IV , New York , Academic Press , 1976 . Zbl 0401.47001 · Zbl 0401.47001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.