journal article
Nov 01, 1998
True many-particle scattering in the oscillator representation
Theoretical and Mathematical Physics
Vol. 117
No. 2
pp. 1291-1307
·
Springer Science and Business Media LLC
Topics
No keywords indexed for this article. Browse by subject →
References
37
[1]
L. D. Faddeev and S. P. Merkuriev,Quantum Scattering Theory for Several Particle Systems [in Russian], Nauka, Moscow, (1985); English transl. Kluwer, Dordrecht (1993).
[2]
R. I. Dzhibuti and N. B. Krupennikova,The Method of Hyperspherical Functions in the Quantum Mechanics of Several Bodies [in Russian], Metsniereba, Tbilisi (1984).
[3]
R. I. Dzhibuti,Fiz. Elem. Chast. At. Yadra,14, 741 (1983).
[4]
A. M. Shirokov, “Democratic decay,” in:Proc. Intl. Conf. Perspectives of Nuclear Physics in the Late Nineties (Hanoi, Vietnam, March 14–18, 1994) (Nguyen Dinh Dang, Da Hsuan Feng, Nguyen Van Giai, and Nguyen Dinh Tu, eds.), World Scientific, Singapore (1995), p. 295.
[5]
B. V. Danilin, M. V. Zhukov, J. S. Vaagen, and J. M. Bang,Phys. Lett. B,302, 129 (1993).
10.1016/0370-2693(93)90371-n
[6]
B. V. Danilin, T. Rogde, S. N. Ershov, H. Heiberg-Andersen, J. S. Vaagen, I. J. Thompson, and M. V. Zhukov,Phys. Rev. C.,55, R577 (1997).
10.1103/physrevc.55.r577
[7]
D. V. Fedorov, A. S. Jensen, and K. Riisager,Phys. Rev. C,49, 201 (1994).
10.1103/physrevc.49.201
[8]
Yu. F. Smirnov, Yu. A. Lurie, and A. M. Shirokov,Rev. Mex. Fís.,40 (Suppl. 1), 63 (1994).
[9]
Yu. A. Lur'e, A. M. Shirokov, and I. M. Bang,Izv. Rossiiskoi Akad. Nauk, Ser. Fiz.,61, 87 (1997).
[10]
Yu. A. Lur'e and A. M. Shirokov,Izv. Rossiiskoi Akad. Nauk, Ser. Fiz.,61, 2121 (1997).
[11]
S. A. Sofianos, S. A. Rakityansky, and G. P. Vermaak,J. Phys. G,23, 1619 (1997).
10.1088/0954-3899/23/11/010
[12]
H. A. Yamani and L. Fishman,J. Math. Phys.
16, 410 (1975).
10.1063/1.522516
[13]
J. T. Broad,Phys. Rev. A,18, 1012 (1978).
10.1103/physreva.18.1012
[14]
G. F. Filippov and I. P. Okhrimenko,Sov. J. Nucl. Phys.,32, 480 (1980); G. F. Filippov,Sov. J. Nucl. Phys.,33, 488 (1981).
[15]
Yu. F. Smirnov and Yu. I. Nechaev,Kinam,4, 445 (1982); Yu. I. Nechaev and Yu. F. Smirnov,Sov. J. Nucl. Phys.,35 808 (1982).
[16]
J. Revai, M. Sotona, and J. Zofka,J. Phys. G,11, 745 (1985).
10.1088/0305-4616/11/6/011
[17]
G. F. Filippov, V. S. Vasilevskii, and A. V. Nesterov,Sov. J. Nucl. Phys.,40, 901 (1984).
[18]
I. P. Okhrimenko,Nucl. Phys. A,426, 121 (1984).
10.1016/0375-9474(84)90131-3
[19]
G. F. Filippov, V. S. Vasilevskii, and L. L. Chopovskii,Fiz. Elem. Chast. At. Yadra,15, 1338 (1984);16, 349 (1985).
[20]
G. F. Filippov,Riv. Nuovo Cimento,12, 1 (1989).
10.1007/bf02742986
[21]
V. A. Knyr, A. I. Mazur, and Yu. F. Smirnov,Sov. J. Nucl. Phys.,52, 483 (1990);54, 927 (1991);Phys. Atom. Nucl.,56, 1342 (1993).
[22]
Yu. F. Smirnov and A. M. Shirokov, “Theory of true many-particle scattering in the oscillator, representation,” Preprint ITF-88-47P, Inst. Theor. Phys., Kiev (1988).
[23]
T. Ya. Mikhelashvili, Yu. F. Smirnov, and A. M. Shirokov,Sov. J. Nucl. Phys.
48, 617 (1988); T. Ya. Mikhelashvili, A. M. Shirokov, and Yu. F. Smirnov,J. Phys. G,16, 1241 (1990).
[24]
A. Erdélyi et al., eds.,Higher Transcendental Functions (Based on notes left by H. Bateman), Vol.2, McGraw-Hill, New York (1953).
[25]
Yu. F. Smirnov and K. B. Shitikova,Fiz. Elem. Chast. At. Yadra,8, 847 (1977).
[26]
Yu. F. Smirnov, S. K. Suslov, and A. M. Shirokov,J. Phys. A,17, 2157 (1984).
10.1088/0305-4470/17/11/013
[27]
P. A. Braun, A. M. Shirokov, and Yu. F. Smirnov,Mol. Phys.,56, 573 (1985).
10.1080/00268978500102531
[28]
E. Janke, F. Emde, and F. Lösch,Tafeln Höherer Funktionen, Teubner, Stuttgart, (1960)
[29]
A. A. Mirolyubov and M. A. Soldatov,Homogeneous Linear Difference Equations [in Russian], Nauka, Moscow (1981).
[30]
I. S. Gradshtein and I. M. Ryzhik,Tables of Integrals, Series, and Products [in Russian], Fizmatgiz, Moscow (1963); English transl., Acad. Press, New York (1969).
[31]
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev,Integrals and Series [in Russian], Vol. 2,Special Functions, Nauka, Moscow (1983); English transl., Gordon and Breach, New York (1988).
[32]
J. T. Broad and W. P. Reinhardt,J. Phys. B,9, 1491 (1976).
10.1088/0022-3700/9/9/014
[33]
A. F. Nikiforov and V. B. Uvarov,Special Functions in Mathematical Physics [in Russian], Nauka, Moscow (1984).
[34]
A. Erdélyi et al., eds.,Higher Transcendental Functions (Based on notes left by H. Bateman), Vol 1, McGraw-Hill, New York (1953).
[35]
V. B. Uvarov,Dokl. Akad. Nauk SSSR,125, 281 (1959).
[36]
L. J. Slater,Confluent Hypergeometric Functions, Cambridge Univ. Press, Cambridge (1960).
[37]
W. B. Jones and W. J. Thron,Continued Fractions: Analytic Theory and Applications Addison-Wesley, Reading, Mass (1980).
Metrics
36
Citations
37
References
Details
- Published
- Nov 01, 1998
- Vol/Issue
- 117(2)
- Pages
- 1291-1307
- License
- View
Cite This Article
S. A. Zaitsev, Yu. F. Smirnov, A. M. Shirokov (1998). True many-particle scattering in the oscillator representation. Theoretical and Mathematical Physics, 117(2), 1291-1307. https://doi.org/10.1007/bf02557169
Related
You May Also Like
Modulation instability and periodic solutions of the nonlinear Schrödinger equation
N. N. Akhmediev, V. I. Korneev · 1986
802 citations
Asymptotic behavior of the pion form factor in quantum chromodynamics
A. V. Efremov, A. V. Radyushkin · 1980
375 citations