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Modification of the spectrum of the second-quantization operator under its perturbation by a potential

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Literature cited

  1. B. Simon, The P(ϕ)2 Euclidean (Quantum) Field Theory, Princeton Univ. Press (1974).

  2. V. G. Samoilenko, “On the boundedness of the operator of multiplication with respect to the second-quantization operator,” Dokl. Akad. Nauk SSSR,281, No. 6, 1316–1320 (1985).

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  3. Yu. G. Kondrat'ev, Second-Quantization Operators and Their Perturbations [in Russian], Preprint 82.28, Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1982).

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  4. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 4: Analysis of Operators, Academic Prss, New York (1978).

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  5. Yu. M. Berezanskii, Self-Adjoint Operators in Spaces of Functions of Infinitely Many Variables [in Russian], Naukova Dumka, Kiev (1978).

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  6. M. Reed, “Functional analysis and probability theory,” in: Constructive Field Theory [Russian translation], Mir, Moscow (1977), pp. 13–47.

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Authors and Affiliations

  1. Kherson Pedagogical Institute, USSR

    V. G. Samoilenko

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  1. V. G. Samoilenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 3, pp. 396–397, May–June, 1987.

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Samoilenko, V.G. Modification of the spectrum of the second-quantization operator under its perturbation by a potential. Ukr Math J 39, 313–314 (1987). https://doi.org/10.1007/BF01057243

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  • DOI: https://doi.org/10.1007/BF01057243

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