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References
Combes J.M., Duclos P., Seiler R.: Convergence expansion for tunneling; Commun. Math. Phys. 92, 229–245 (1983)
Harrell E.: Double wells; Commun. Math. Phys. 75, 239–261 (1980)
Helffer B., Sjöstrand J.: Multiple wells in the semiclassical limit I; Commun. in PDE 9, 337–408 (1984)
Kirsch W., Simon B.: Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators; Commun. Math. Phys. 97, 453–460 (1985)
Nakamura S.: A remark on eigenvalue splittings for one-dimensional double-well Hamiltonians, University of Tokyo, Preprint
Neumark M.A.: Lineare Differentialoperatoren; Akademie-Verlag, Berlin
Simon B.: Semiclassical analysis of low lying eigenvalues II. Ann. Math. 120, 89–118 (1984);IV. The flea on the elephant, J. Funct. Anal. 63, 123–136 (1985)
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© 1987 Springer-Verlag
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Kirsch, W. (1987). On the difference between eigenvalues of Sturm-Liouville operators and the semi-classical limit. In: Knowles, I.W., Saitō, Y. (eds) Differential Equations and Mathematical Physics. Lecture Notes in Mathematics, vol 1285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080602
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DOI: https://doi.org/10.1007/BFb0080602
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