S. L. Yakovlev, “Coordinate asymptotics of the wave function for a system of four particles free in the initial state”, TMF, 82:2 (1990), 224–241; Theoret. and Math. Phys., 82:2 (1990), 157

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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 82, Number 2, Pages 224–241 (Mi tmf5410)

This article is cited in 6 scientific papers (total in 6 papers)

Coordinate asymptotics of the wave function for a system of four particles free in the initial state

S. L. Yakovlev

Full-text PDF (1606 kB) Citations (6)

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Abstract: The coordinate asymptotics of the wave function for a system of four particles in which $4\to4$ processes are taken into account is studied. The main attention is devoted to triple scattering effects. It is established that in the parts of the configuration space in which the formally constructed scattering amplitude becomes infinite, the asymptotic behavior of the wave function can be described by Fresnel type double integrals.

Received: 30.09.1988

English version:
Theoretical and Mathematical Physics, 1990, Volume 82, Issue 2, Pages 157–169
DOI: https://doi.org/10.1007/BF01079044

Bibliographic databases:

Language: Russian

Citation: S. L. Yakovlev, “Coordinate asymptotics of the wave function for a system of four particles free in the initial state”, TMF, 82:2 (1990), 224–241; Theoret. and Math. Phys., 82:2 (1990), 157–169

Citation in format AMSBIB

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https://www.mathnet.ru/eng/tmf5410

https://www.mathnet.ru/eng/tmf/v82/i2/p224

This publication is cited in the following 6 articles:

S. L. Yakovlev, “Weak asymptotics of the wave function for an $N$-particle system and asymptotic filtration”, Theoret. and Math. Phys., 206:1 (2021), 68–83
S. L. Yakovlev, “Asymptotic behavior of the wave function of three particles in a continuum”, Theoret. and Math. Phys., 186:1 (2016), 126–135
S. L. Yakovlev, “Quantum $N$-body problem: Matrix structures and equations”, Theoret. and Math. Phys., 181:1 (2014), 1317–1338
M. I. Zelikin, V. F. Borisov, “Singular Optimal Regimes in Problems of Mathematical Economics”, J Math Sci, 130:1 (2005), 4409
R.Ya. Kezerashvili, “On the asymptotic behaviour of the 4 → 4 scattering wave function in the hyperspherical representation”, Physics Letters B, 334:3-4 (1994), 263
A. N. Kvinikhidze, A. M. Khvedelidze, “Pair-interaction approximation in the equations of quantum field theory for a four-body system”, Theoret. and Math. Phys., 90:1 (1992), 62–74

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	282
Full-text PDF :	113
References:	46
First page:	1

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