Geodesic
Mechanical systems, proper oscilations, and spectral theory of selfadjoint operators
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 24, Tome 218 (1994), pp. 12-16 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper on some examples we illustrate the following thesis. In all cases it is possible to reduce the problem of of finding proper oscillations of a holonomic nondisspative mechanical system to the problem of obtaining eigenvalues and eigen elements of the corresponding selfadjoint operator in the Hilbert space. The scalar product in the space is determined by the quadratic form of the kinetic energy. Bibliography: 1 title. 
@article{ZNSL_1994_218_a1,
     author = {V. M. Babich},
     title = {Mechanical systems, proper oscilations, and spectral theory of selfadjoint operators},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {12--16},
     year = {1994},
     volume = {218},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_218_a1/}
}
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V. M. Babich. Mechanical systems, proper oscilations, and spectral theory of selfadjoint operators. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 24, Tome 218 (1994), pp. 12-16. http://geodesic.mathdoc.fr/item/ZNSL_1994_218_a1/