Geodesic
Spectrum of the Schr\"odinger operator in an elliptical ring cover
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2023), pp. 22-32

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The stationary Schrödinger equation is studied in a domain bounded by two confocal ellipses and in its coverings. The order of dependence of the Laplace operator eigenvalues on sufficiently small distance between the foci is obtained. Coefficients of the power series expansion of said eigenvalues are calculated up to and including the square of half the focal distance. 
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     author = {M. A. Nikulin},
     title = {Spectrum of the {Schr\"odinger} operator in an elliptical ring cover},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {22--32},
     publisher = {mathdoc},
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     year = {2023},
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}
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M. A. Nikulin. Spectrum of the Schr\"odinger operator in an elliptical ring cover. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2023), pp. 22-32. http://geodesic.mathdoc.fr/item/VMUMM_2023_5_a3/