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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 3, Pages 504–514
DOI: https://doi.org/10.4213/tmf206 (Mi tmf206) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multipole Pseudopotential Method for Some Problems in Quantum Scattering

Yu. V. Zasorin

Voronezh State University
Full-text PDF (237 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf206
Abstract: We construct a multipole pseudopotential that allows reconstructing the wave function in some problems in quantum scattering theory that are described by a nonlinear wave equation with a potential of compact support and a nonlocal boundary condition given in terms of the scattering amplitude. We establish that the structure of the wave function is completely defined by the scattering amplitude and is independent of the choice of the potential.
Keywords: multipole pseudopotential, partial scattering amplitude.
Received: 13.06.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 3, Pages 872–880
DOI: https://doi.org/10.1023/A:1024039222524
Bibliographic databases:
Language: Russian
Citation: Yu. V. Zasorin, “Multipole Pseudopotential Method for Some Problems in Quantum Scattering”, TMF, 135:3 (2003), 504–514; Theoret. and Math. Phys., 135:3 (2003), 872–880
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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