Refinement of the Asymptotics of Three Charged Quantum Particles Scattering Problem Solution of the Six-Dimensional Distorted Plane Wave Type
In the present paper, we propose an asymptotic form at infinity in the configuration space for the quantum scattering problem solution of three three-dimensional like-charged particles, including the description of single and double rescattering, also in domains where one of Jacobi pair coordinates...
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| Vydáno v: | Journal of mathematical sciences (New York, N.Y.) Ročník 283; číslo 4; s. 556 - 561 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Cham
Springer International Publishing
17.08.2024
Springer Springer Nature B.V |
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| ISSN: | 1072-3374, 1573-8795 |
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| Abstract | In the present paper, we propose an asymptotic form at infinity in the configuration space for the quantum scattering problem solution of three three-dimensional like-charged particles, including the description of single and double rescattering, also in domains where one of Jacobi pair coordinates proves to be bounded. |
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| AbstractList | In the present paper, we propose an asymptotic form at infinity in the configuration space for the quantum scattering problem solution of three three-dimensional like-charged particles, including the description of single and double rescattering, also in domains where one of Jacobi pair coordinates proves to be bounded. In the present paper, we propose an asymptotic form at infinity in the configuration space for the quantum scattering problem solution of three three-dimensional like-charged particles, including the description of single and double rescattering, also in domains where one of Jacobi pair coordinates proves to be bounded. Bibliography: 13 titles. |
| Audience | Academic |
| Author | Levin, S. B. |
| Author_xml | – sequence: 1 givenname: S. B. surname: Levin fullname: Levin, S. B. email: s.levin@spbu.ru organization: St.Petersburg State University |
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| Cites_doi | 10.1007/BF01036331 10.1007/s10688-012-0020-6 10.1007/s10958-017-3564-4 10.1103/PhysRevA.47.2004 10.1007/BF01660582 10.1088/0953-4075/22/14/010 |
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| References | Brauner, Briggs, Klar (CR6) 1989; 22 Merkuriev, Faddeev (CR3) 1993 Merkuriev (CR1) 1976; 24 Levin (CR10) 2017; 226 CR7 Buslaev, Levin (CR9) 2012; 46 CR13 CR12 CR11 Alt, Mukhamedzhanov (CR4) 1992; 56 Buslaev, Merkuriev, Salikov (CR8) 1983; 21 Alt, Mukhamedzhanov (CR5) 1993; 47 Merkuriev (CR2) 1977; 32 7292_CR13 7292_CR11 7292_CR12 EO Alt (7292_CR4) 1992; 56 VS Buslaev (7292_CR8) 1983; 21 SP Merkuriev (7292_CR3) 1993 EO Alt (7292_CR5) 1993; 47 SP Merkuriev (7292_CR1) 1976; 24 7292_CR7 M Brauner (7292_CR6) 1989; 22 VS Buslaev (7292_CR9) 2012; 46 SP Merkuriev (7292_CR2) 1977; 32 SB Levin (7292_CR10) 2017; 226 |
| References_xml | – volume: 32 start-page: 680 year: 1977 end-page: 694 ident: CR2 article-title: Coordinate asymptotic behavior of (3 → 3) wave functions for a system of three charged particles publication-title: Theoretical and Mathematical Physics doi: 10.1007/BF01036331 – volume: 46 start-page: 147 year: 2012 end-page: 151 ident: CR9 article-title: A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity publication-title: Functional Analysis and Its Applications doi: 10.1007/s10688-012-0020-6 – volume: 24 start-page: 289 issue: 2 year: 1976 end-page: 297 ident: CR1 article-title: “On scattering theory for the system of three particles with Coulomb interaction”, [in Russian] publication-title: Nuclear Physics – volume: 226 start-page: 744 issue: 6 year: 2017 end-page: 768 ident: CR10 article-title: On the Asymptotic Behavior of Eigenfunctions of the Continuous Spectrum at Infinity in Configuration Space for the System of Three Three-Dimensional Like-Charged Quantum Particles publication-title: J. Math. Sci. doi: 10.1007/s10958-017-3564-4 – ident: CR12 – ident: CR13 – ident: CR11 – year: 1993 ident: CR3 publication-title: Quantum Scattering Theory for Several Particle Systems – volume: 47 start-page: 2004 issue: 3 year: 1993 end-page: 2022 ident: CR5 article-title: Asymptotic solution of the Schrödinger equation for three charged particles publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.47.2004 – ident: CR7 – volume: 21 start-page: 260 year: 1983 end-page: 265 ident: CR8 article-title: Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects publication-title: J. Math. Sci. doi: 10.1007/BF01660582 – volume: 22 start-page: 2265 year: 1989 end-page: 2287 ident: CR6 article-title: Triply-differential cross sections for ionisation of hydrogen atoms by electrons and positrons publication-title: J. Phys. B doi: 10.1088/0953-4075/22/14/010 – volume: 56 start-page: 435 year: 1992 ident: CR4 article-title: Asymptotic solution of the Schrödinger equation for three charged particles publication-title: JETP Lett. – ident: 7292_CR12 – ident: 7292_CR11 – ident: 7292_CR13 – volume: 47 start-page: 2004 issue: 3 year: 1993 ident: 7292_CR5 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.47.2004 – volume: 24 start-page: 289 issue: 2 year: 1976 ident: 7292_CR1 publication-title: Nuclear Physics – ident: 7292_CR7 – volume: 22 start-page: 2265 year: 1989 ident: 7292_CR6 publication-title: J. Phys. B doi: 10.1088/0953-4075/22/14/010 – volume: 21 start-page: 260 year: 1983 ident: 7292_CR8 publication-title: J. Math. Sci. doi: 10.1007/BF01660582 – volume: 46 start-page: 147 year: 2012 ident: 7292_CR9 publication-title: Functional Analysis and Its Applications doi: 10.1007/s10688-012-0020-6 – volume: 56 start-page: 435 year: 1992 ident: 7292_CR4 publication-title: JETP Lett. – volume: 226 start-page: 744 issue: 6 year: 2017 ident: 7292_CR10 publication-title: J. Math. Sci. doi: 10.1007/s10958-017-3564-4 – volume-title: Quantum Scattering Theory for Several Particle Systems year: 1993 ident: 7292_CR3 – volume: 32 start-page: 680 year: 1977 ident: 7292_CR2 publication-title: Theoretical and Mathematical Physics doi: 10.1007/BF01036331 |
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| SubjectTerms | Approximation Charged particles Mathematics Mathematics and Statistics Ordinary differential equations Partial differential equations Plane waves Scattering |
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| Title | Refinement of the Asymptotics of Three Charged Quantum Particles Scattering Problem Solution of the Six-Dimensional Distorted Plane Wave Type |
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