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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 107, Number 1, Pages 75–85
DOI: https://doi.org/10.4213/tmf1139 (Mi tmf1139) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The Iorio–O'Carroll theorem for $N$-particle lattice Hamiltonian

Yu. V. Zhukov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (246 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf1139
Abstract: The unitary equivalence of the full and free Hamiltonians for a $N$-particle quantum lattice system with the small coupling constant is proved. This result is obtained by means of the mathematical scattering theory: we prove the existence and asymptotic completeness of the wave operators. Here we construct a special representation for the exponent of the Hamiltonian.
Received: 12.10.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 107, Issue 1, Pages 478–486
DOI: https://doi.org/10.1007/BF02071455
Bibliographic databases:
Language: Russian
Citation: Yu. V. Zhukov, “The Iorio–O'Carroll theorem for $N$-particle lattice Hamiltonian”, TMF, 107:1 (1996), 75–85; Theoret. and Math. Phys., 107:1 (1996), 478–486
Citation in format AMSBIB
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\paper The Iorio--O'Carroll theorem for $N$-particle lattice Hamiltonian
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\jour Theoret. and Math. Phys.
\yr 1996
\vol 107
\issue 1
\pages 478--486
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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