Three Solvable Many-Body Problems in the Plane

Acta Applicandae Mathematicae

Volumn 51, Issue 1, 1998, Pages 93-111

  Calogero, F ^a,b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b INFN SEZIONE DI ROMA   (Italy)

Author keywords

Solvable dynamical systems; Solvable many body problems

Indexed keywords

EID: 0011574364     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1005857108980     Document Type: Article

References (18)

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2. Calogero, F.: Integrable many-body problems, in: A. O. Barut (ed.), Nonlinear Equations in Physics and Mathematics, Proceedings of the Nato Advanced Study Institute held in Istanbul in August 1977, D. Reidel, Dordrecht, 1978, pp. 3-53; Solvable many-body problems and related mathematical findings (and conjectures), in: C. Bardos and D. Bessis (eds), Bifurcation Phenomena in Mathematical Physics and Related Topics, D. Reidel, Dordrecht, 1980, pp. 371-384; Integrable many-body problems and related mathematical results, in: E. G. D. Cohen (ed.), Proceedings of the 1980 Summer School on Fundamental Problems in Statistical Mechanics, North-Holland, 1981, pp. 151-164; Integrable dynamical systems and related mathematical results, in: K. B. Wolf (ed.), Nonlinear Phenomena, Proceedings of the CIFMO School and Workshop held at Oaxtepec, Mexico, Nov. 29-Dec. 17, 1982, Lecture Notes in Physics 189, Springer, 1983, pp. 47-109; Solvable many-body problems, in: G. Benedek, H. Bilz and R. Zeyher (eds), Statics and Dynamics of Nonlinear Systems, Springer Series in Solid-State Science 47, Springer, Berlin, 1983, pp. 35-36; Some solvable dynamical systems, in: E. Arbarello, C. Procesi and E. Strickland (eds), Geometry Today (Giornate di Geometria, Roma 1984), Birkhauser, Boston, 1985, pp. 39-45; Integrable dynamical systems and some other mathematical results (remarkable matrices, identities, basic hypergeometric funtions), Notes of lectures presented at the summer school held at the Université de Montréal, July 29-August 16, 1985, in: P. Winternitz (ed.), Systèmes Dynamiques Non Linéaires: Integrabilité et Comportement Qualitatif, SMS 102, Presses de l'Université de Montréal, 1986, pp. 40-70.
3. Calogero, F.: Integrable many-body problems, in: A. O. Barut (ed.), Nonlinear Equations in Physics and Mathematics, Proceedings of the Nato Advanced Study Institute held in Istanbul in August 1977, D. Reidel, Dordrecht, 1978, pp. 3-53; Solvable many-body problems and related mathematical findings (and conjectures), in: C. Bardos and D. Bessis (eds), Bifurcation Phenomena in Mathematical Physics and Related Topics, D. Reidel, Dordrecht, 1980, pp. 371-384; Integrable many-body problems and related mathematical results, in: E. G. D. Cohen (ed.), Proceedings of the 1980 Summer School on Fundamental Problems in Statistical Mechanics, North-Holland, 1981, pp. 151-164; Integrable dynamical systems and related mathematical results, in: K. B. Wolf (ed.), Nonlinear Phenomena, Proceedings of the CIFMO School and Workshop held at Oaxtepec, Mexico, Nov. 29-Dec. 17, 1982, Lecture Notes in Physics 189, Springer, 1983, pp. 47-109; Solvable many-body problems, in: G. Benedek, H. Bilz and R. Zeyher (eds), Statics and Dynamics of Nonlinear Systems, Springer Series in Solid-State Science 47, Springer, Berlin, 1983, pp. 35-36; Some solvable dynamical systems, in: E. Arbarello, C. Procesi and E. Strickland (eds), Geometry Today (Giornate di Geometria, Roma 1984), Birkhauser, Boston, 1985, pp. 39-45; Integrable dynamical systems and some other mathematical results (remarkable matrices, identities, basic hypergeometric funtions), Notes of lectures presented at the summer school held at the Université de Montréal, July 29-August 16, 1985, in: P. Winternitz (ed.), Systèmes Dynamiques Non Linéaires: Integrabilité et Comportement Qualitatif, SMS 102, Presses de l'Université de Montréal, 1986, pp. 40-70.
4. Calogero, F.: Integrable many-body problems, in: A. O. Barut (ed.), Nonlinear Equations in Physics and Mathematics, Proceedings of the Nato Advanced Study Institute held in Istanbul in August 1977, D. Reidel, Dordrecht, 1978, pp. 3-53; Solvable many-body problems and related mathematical findings (and conjectures), in: C. Bardos and D. Bessis (eds), Bifurcation Phenomena in Mathematical Physics and Related Topics, D. Reidel, Dordrecht, 1980, pp. 371-384; Integrable many-body problems and related mathematical results, in: E. G. D. Cohen (ed.), Proceedings of the 1980 Summer School on Fundamental Problems in Statistical Mechanics, North-Holland, 1981, pp. 151-164; Integrable dynamical systems and related mathematical results, in: K. B. Wolf (ed.), Nonlinear Phenomena, Proceedings of the CIFMO School and Workshop held at Oaxtepec, Mexico, Nov. 29-Dec. 17, 1982, Lecture Notes in Physics 189, Springer, 1983, pp. 47-109; Solvable many-body problems, in: G. Benedek, H. Bilz and R. Zeyher (eds), Statics and Dynamics of Nonlinear Systems, Springer Series in Solid-State Science 47, Springer, Berlin, 1983, pp. 35-36; Some solvable dynamical systems, in: E. Arbarello, C. Procesi and E. Strickland (eds), Geometry Today (Giornate di Geometria, Roma 1984), Birkhauser, Boston, 1985, pp. 39-45; Integrable dynamical systems and some other mathematical results (remarkable matrices, identities, basic hypergeometric funtions), Notes of lectures presented at the summer school held at the Université de Montréal, July 29-August 16, 1985, in: P. Winternitz (ed.), Systèmes Dynamiques Non Linéaires: Integrabilité et Comportement Qualitatif, SMS 102, Presses de l'Université de Montréal, 1986, pp. 40-70.
5. Calogero, F.: Integrable many-body problems, in: A. O. Barut (ed.), Nonlinear Equations in Physics and Mathematics, Proceedings of the Nato Advanced Study Institute held in Istanbul in August 1977, D. Reidel, Dordrecht, 1978, pp. 3-53; Solvable many-body problems and related mathematical findings (and conjectures), in: C. Bardos and D. Bessis (eds), Bifurcation Phenomena in Mathematical Physics and Related Topics, D. Reidel, Dordrecht, 1980, pp. 371-384; Integrable many-body problems and related mathematical results, in: E. G. D. Cohen (ed.), Proceedings of the 1980 Summer School on Fundamental Problems in Statistical Mechanics, North-Holland, 1981, pp. 151-164; Integrable dynamical systems and related mathematical results, in: K. B. Wolf (ed.), Nonlinear Phenomena, Proceedings of the CIFMO School and Workshop held at Oaxtepec, Mexico, Nov. 29-Dec. 17, 1982, Lecture Notes in Physics 189, Springer, 1983, pp. 47-109; Solvable many-body problems, in: G. Benedek, H. Bilz and R. Zeyher (eds), Statics and Dynamics of Nonlinear Systems, Springer Series in Solid-State Science 47, Springer, Berlin, 1983, pp. 35-36; Some solvable dynamical systems, in: E. Arbarello, C. Procesi and E. Strickland (eds), Geometry Today (Giornate di Geometria, Roma 1984), Birkhauser, Boston, 1985, pp. 39-45; Integrable dynamical systems and some other mathematical results (remarkable matrices, identities, basic hypergeometric funtions), Notes of lectures presented at the summer school held at the Université de Montréal, July 29-August 16, 1985, in: P. Winternitz (ed.), Systèmes Dynamiques Non Linéaires: Integrabilité et Comportement Qualitatif, SMS 102, Presses de l'Université de Montréal, 1986, pp. 40-70.
6. Calogero, F.: Integrable many-body problems, in: A. O. Barut (ed.), Nonlinear Equations in Physics and Mathematics, Proceedings of the Nato Advanced Study Institute held in Istanbul in August 1977, D. Reidel, Dordrecht, 1978, pp. 3-53; Solvable many-body problems and related mathematical findings (and conjectures), in: C. Bardos and D. Bessis (eds), Bifurcation Phenomena in Mathematical Physics and Related Topics, D. Reidel, Dordrecht, 1980, pp. 371-384; Integrable many-body problems and related mathematical results, in: E. G. D. Cohen (ed.), Proceedings of the 1980 Summer School on Fundamental Problems in Statistical Mechanics, North-Holland, 1981, pp. 151-164; Integrable dynamical systems and related mathematical results, in: K. B. Wolf (ed.), Nonlinear Phenomena, Proceedings of the CIFMO School and Workshop held at Oaxtepec, Mexico, Nov. 29-Dec. 17, 1982, Lecture Notes in Physics 189, Springer, 1983, pp. 47-109; Solvable many-body problems, in: G. Benedek, H. Bilz and R. Zeyher (eds), Statics and Dynamics of Nonlinear Systems, Springer Series in Solid-State Science 47, Springer, Berlin, 1983, pp. 35-36; Some solvable dynamical systems, in: E. Arbarello, C. Procesi and E. Strickland (eds), Geometry Today (Giornate di Geometria, Roma 1984), Birkhauser, Boston, 1985, pp. 39-45; Integrable dynamical systems and some other mathematical results (remarkable matrices, identities, basic hypergeometric funtions), Notes of lectures presented at the summer school held at the Université de Montréal, July 29-August 16, 1985, in: P. Winternitz (ed.), Systèmes Dynamiques Non Linéaires: Integrabilité et Comportement Qualitatif, SMS 102, Presses de l'Université de Montréal, 1986, pp. 40-70.
7. Calogero, F.: Integrable many-body problems, in: A. O. Barut (ed.), Nonlinear Equations in Physics and Mathematics, Proceedings of the Nato Advanced Study Institute held in Istanbul in August 1977, D. Reidel, Dordrecht, 1978, pp. 3-53; Solvable many-body problems and related mathematical findings (and conjectures), in: C. Bardos and D. Bessis (eds), Bifurcation Phenomena in Mathematical Physics and Related Topics, D. Reidel, Dordrecht, 1980, pp. 371-384; Integrable many-body problems and related mathematical results, in: E. G. D. Cohen (ed.), Proceedings of the 1980 Summer School on Fundamental Problems in Statistical Mechanics, North-Holland, 1981, pp. 151-164; Integrable dynamical systems and related mathematical results, in: K. B. Wolf (ed.), Nonlinear Phenomena, Proceedings of the CIFMO School and Workshop held at Oaxtepec, Mexico, Nov. 29-Dec. 17, 1982, Lecture Notes in Physics 189, Springer, 1983, pp. 47-109; Solvable many-body problems, in: G. Benedek, H. Bilz and R. Zeyher (eds), Statics and Dynamics of Nonlinear Systems, Springer Series in Solid-State Science 47, Springer, Berlin, 1983, pp. 35-36; Some solvable dynamical systems, in: E. Arbarello, C. Procesi and E. Strickland (eds), Geometry Today (Giornate di Geometria, Roma 1984), Birkhauser, Boston, 1985, pp. 39-45; Integrable dynamical systems and some other mathematical results (remarkable matrices, identities, basic hypergeometric funtions), Notes of lectures presented at the summer school held at the Université de Montréal, July 29-August 16, 1985, in: P. Winternitz (ed.), Systèmes Dynamiques Non Linéaires: Integrabilité et Comportement Qualitatif, SMS 102, Presses de l'Université de Montréal, 1986, pp. 40-70.
8. Calogero, F.: Integrable many-body problems, in: A. O. Barut (ed.), Nonlinear Equations in Physics and Mathematics, Proceedings of the Nato Advanced Study Institute held in Istanbul in August 1977, D. Reidel, Dordrecht, 1978, pp. 3-53; Solvable many-body problems and related mathematical findings (and conjectures), in: C. Bardos and D. Bessis (eds), Bifurcation Phenomena in Mathematical Physics and Related Topics, D. Reidel, Dordrecht, 1980, pp. 371-384; Integrable many-body problems and related mathematical results, in: E. G. D. Cohen (ed.), Proceedings of the 1980 Summer School on Fundamental Problems in Statistical Mechanics, North-Holland, 1981, pp. 151-164; Integrable dynamical systems and related mathematical results, in: K. B. Wolf (ed.), Nonlinear Phenomena, Proceedings of the CIFMO School and Workshop held at Oaxtepec, Mexico, Nov. 29-Dec. 17, 1982, Lecture Notes in Physics 189, Springer, 1983, pp. 47-109; Solvable many-body problems, in: G. Benedek, H. Bilz and R. Zeyher (eds), Statics and Dynamics of Nonlinear Systems, Springer Series in Solid-State Science 47, Springer, Berlin, 1983, pp. 35-36; Some solvable dynamical systems, in: E. Arbarello, C. Procesi and E. Strickland (eds), Geometry Today (Giornate di Geometria, Roma 1984), Birkhauser, Boston, 1985, pp. 39-45; Integrable dynamical systems and some other mathematical results (remarkable matrices, identities, basic hypergeometric funtions), Notes of lectures presented at the summer school held at the Université de Montréal, July 29-August 16, 1985, in: P. Winternitz (ed.), Systèmes Dynamiques Non Linéaires: Integrabilité et Comportement Qualitatif, SMS 102, Presses de l'Université de Montréal, 1986, pp. 40-70.
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