Abstract
The behavior of a quantum oscillator in an infinite-particle system is studied for the case of linear interaction. The relation between the spectrum of the dynamic matrix of a complete system and oscillator damping is established. The dependence of the spectrum on the parameters of interaction is determined.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 9, pp. 1266–1273, September, 1993.
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Rozhenko, N.N. Quantum oscillator in an infinite-particle harmonic system. Ukr Math J 45, 1421–1429 (1993). https://doi.org/10.1007/BF01058640
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DOI: https://doi.org/10.1007/BF01058640