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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 2, Pages 291–306
DOI: https://doi.org/10.4213/tmf53 (Mi tmf53) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Finite-Dimensional Approximations for Scattering Theory Operators in the Wave-Packet Representation

V. I. Kukulin, O. A. Rubtsova

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
Full-text PDF (458 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf53
Abstract: We consider some types of packet discretization for continuous spectra in quantum scattering problems. As we previously showed, this discretization leads to a convenient finite-dimensional (i.e. matrix) approximation for integral operators in the scattering theory and allows reducing the solution of singular integral equations connected with the scattering theory to some suitable purely algebraic equations on an analytic basis. All singularities are explicitly singled out. Our primary emphasis is on realizing the method practically.
Keywords: scattering theory, wave operator, wave packets, Green's function, discretization of continuum.
Received: 10.04.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 2, Pages 693–705
DOI: https://doi.org/10.1023/B:TAMP.0000026185.57301.96
Bibliographic databases:
Language: Russian
Citation: V. I. Kukulin, O. A. Rubtsova, “Finite-Dimensional Approximations for Scattering Theory Operators in the Wave-Packet Representation”, TMF, 139:2 (2004), 291–306; Theoret. and Math. Phys., 139:2 (2004), 693–705
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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