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Odd anharmonic oscillators and shape resonances. (English) Zbl 0521.47009


MSC:

47A55 Perturbation theory of linear operators
81Q15 Perturbation theories for operators and differential equations in quantum theory

Citations:

Zbl 0446.47044
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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
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