Simon Ruijsenaars' publications


    • 1. (with F. Berends) Examples of phase-shift ambiguities for spinless elastic scattering, Nucl. Phys. B56 (1973) 507--524.
    • 2. (with F. Berends) Different sets of phase shifts for the same differential cross section and polarization in spin 0--spin 1/2 elastic scattering, Nucl. Phys. B56 (1973) 525--535.
    • 3. (with P. Bongaarts) The Klein paradox as a many particle problem, Ann. Phys. (NY) 101(1976) 289--318. pdf
    • 4. (with P. Bongaarts) Scattering theory for one-dimensional step potentials, Ann. de l'Inst. H. Poincar\'e 26 (1977) 1--17.
    • 5. Quantum theory of relativistic charged particles in external fields, Ph.D. thesis, Leiden (1976) (copies available; contains papers 6--8).
    • 6. On Bogoliubov transformations for systems of relativistic charged particles, J. Math. Phys. 18 (1977) 517--526. pdf
    • 7. Charged particles in external fields. I. Classical theory, J. Math. Phys. bf 18 (1977) 720--737. pdf
    • 8. Charged particles in external fields. II. The quantized Dirac and Klein-Gordon theories, Comm. Math. Phys. 52 (1977) 267--294. pdf
    • 9. The S-operator for spin 0 and spin 1/2 particles in time-dependent external fields, in: On invariant wave equations, Proceedings 1977 Erice Summer School (A. Wightman, G. Velo, Eds.), pp. 414--416, Berlin, Springer, 1978.
    • 10. On Bogoliubov transformations. II. The general case, Ann. Phys. (NY) 116 (1978) 105--134. pdf
    • 11. Gauge invariance and implementability of the S-operator for spin 0 and spin 1/2 particles in time-dependent external fields, J. Func. Anal. 33 (1979) 47--57. pdf
    • 12. (with W. Garber, E. Seiler, D. Burns) On finite-action solutions of the nonlinear sigma-model, Ann. Phys. (NY) 119 (1979) 305--325. pdf
    • 13. A positive energy dynamics and scattering theory for directly interacting relativistic particles, Ann. Phys. (NY) 126 (1980) 399--449. pdf
    • 14. The continuum limit of the infinite isotropic Heisenberg chain in its ground state representation, J. Func. Anal. 39 (1980) 75--84. pdf
    • 15. On one-dimensional integrable quantum systems with infinitely many degrees of freedom, Ann. Phys. (NY) 128 (1980) 335--361. pdf
    • 16. (with G. Hegerfeldt) Remarks on causality, localization and spreading of wave packets, Phys. Rev. D22 (1980) 377--384. pdf
    • 17. Integrable quantum field theories and Bogoliubov transformations, Ann. Phys. (NY) 132 (1981) 328--382. pdf
    • 18. On Newton-Wigner localization and superluminal propagation speeds, Ann. Phys. (NY) 137 (1981) 33--43. pdf
    • 19. Scattering theory for the Federbush, massless Thirring and continuum Ising models, J. Func. Anal. 48 (1982) 135--171. pdf
    • 20. On the two-point functions of some integrable relativistic quantum field theories, J. Math. Phys. 24 (1983) 922--931. pdf
    • 21. The Aharonov-Bohm effect and scattering theory, Ann. Phys. (NY) 146 (1983) 1--34. pdf
    • 22. The Wightman axioms for the fermionic Federbush model, Comm. Math. Phys. 87 (1982) 181--228. pdf
    • 23. The Federbush model as a Wightman field theory, Semesterbericht Funktionalanalysis Tuebingen, 1982, pp. 169--193.
    • 24. (with A. Carey, J. Wright) The massless Thirring model: positivity of Klaiber's n-point functions, Comm. Math. Phys. 99 (1985) 347--364. pdf
    • 25. (with A. Carey) On fermion gauge groups, current algebras and Kac-Moody algebras, Acta Appl. Math. 10 (1987) 1--86. pdf
    • 26. (with S. Fulling) Temperature, periodicity and horizons, Phys. Rep. 152 (1987) 135--176. pdf
    • 27. (with H. Schneider) A new class of integrable systems and its relation to solitons, Ann. Phys. (NY) 170 (1986) 370--405. pdf
    • 28. Complete integrability of relativistic Calogero-Moser systems and elliptic function identities, Comm. Math. Phys. 110 (1987) 191--213. pdf
    • 29. Relativistic Calogero-Moser systems and solitons, in: Topics in soliton theory and exactly solvable nonlinear equations, Proceedings 1986 Oberwolfach Conference (M. Ablowitz, B. Fuchssteiner, M. Kruskal, Eds.), pp. 182--190, Singapore, World Scientific, 1987.
    • 30. Action-angle maps and scattering theory for some finite-dimensional integrable systems. I. The pure soliton case, Comm. Math. Phys. 115 (1988) 127-165. pdf
    • 31. Dirac quantization, Virasoro and Kac-Moody algebras, and boson-fermion correspondence in $2N$ dimensions, in: Proceedings 1988 Swansea Congress on Mathematical Physics (B. Simon, A. Truman, I. Davies, Eds.), pp. 479--482, IOP Publishing, Bristol, 1989.
    • 32. Index formulas for generalized Wiener-Hopf operators and boson-fermion correspondence in $2N$ dimensions, Comm. Math. Phys. 124 (1989) 553--593. pdf
    • 33. Relativistic Toda systems, Comm. Math. Phys. 133 (1990) 217--247. pdf
    • 34. Finite-dimensional soliton systems, in: Integrable and superintegrable systems (B. Kupershmidt, Ed.), pp. 165--206, World Scientific, Singapore, 1990.
    • 35. Index theorems and anomalies: a common playground for mathematicians and physicists, CWI Quarterly 3 (1990) 3--19.
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    • 36. Action-angle maps and scattering theory for some finite-dimensional integrable systems. II. Solitons, antisolitons, and their bound states, Publ. RIMS Kyoto Univ. 30 (1994) 865--1008 (reprints available). pdf
    • 37. Action-angle maps and scattering theory for some finite-dimensional integrable systems. III. Sutherland type systems and their duals, Publ. RIMS Kyoto Univ. 31 (1995) 247--353 (reprints available). pdf
    • 38. Systems of Calogero-Moser type, in: Proceedings of the 1994 Banff summer school "Particles and fields", CRM series in mathematical physics, (G. Semenoff, L. Vinet, Eds.), pp. 251--352, Springer, New York, 1999. pdf
    • 39. First-order analytic difference equations and integrable quantum systems, J. Math. Phys. 38 (1997) 1069--1146. pdf
    • 40. Integrable particle systems vs solutions to the KP and 2D Toda equations, Ann. Phys. (NY) 256 (1997) 226--301 (reprints available). pdf
    • 41. Generalized Lam\'e functions. I. The elliptic case, J. Math. Phys. 40 (1999) 1595--1626. pdf
    • 42. Generalized Lam\'e functions. II. Hyperbolic and trigonometric specializations, J. Math. Phys. 40 (1999) 1627--1663. pdf
    • 43. Relativistic Lam\'e functions: the special case g=2, J. Phys. A: Math. Gen. 32 (1999) 1737--1772. pdf
    • 44. On relativistic Lam\'e functions, in: Proceedings of the 1997 Montreal Workshop "Calogero-Moser-Sutherland systems", CRM Proceedings and Lecture Notes, (J. F. van Diejen, L. Vinet, Eds.), pp. 421--440, Amer. Math. Soc., Providence, 2000.
    • 45. A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type, Comm. Math. Phys. 206 (1999) 639--690. pdf
    • 46. On Barnes' multiple zeta and gamma functions, Adv. in Math. 156 (2000) 107--132. pdf
    • 47. Hilbert space theory for reflectionless relativistic potentials, Publ. RIMS Kyoto Univ. 36 (2000) 707--753 (reprints available). pdf
    • 48. Reflectionless analytic difference operators (A$\Delta$Os): examples, open questions and conjectures, in: Proceedings NEEDS 1999, J. Nonlinear Math. Phys., Suppl. to Vol. 8 (2001) 240--248 (reprints available).
    • 49. Special functions associated with Calogero-Moser type quantum systems, in: Proceedings of the 1999 Montreal "S\'eminaire de Math\'ematiques Sup\'erieures", CRM Proceedings and Lecture Notes, Vol. 26, (J. Harnad, P. Winternitz, G. Sabidussi, Eds.), pp. 189--226, Amer. Math. Soc., Providence, 2000 (reprints available).
    • 50. Reflectionless analytic difference operators I. Algebraic framework, J. Nonlinear Math. Phys. 8 (2001) 106--138. pdf
    • 51. Reflectionless analytic difference operators II. Relations to soliton systems, J. Nonlinear Math. Phys. 8 (2001) 256--287. pdf
    • 52. Special functions defined by analytic difference equations, in: Proceedings of the Tempe NATO Advanced Study Institute "Special Functions 2000", NATO Science Series Vol. 30, (J. Bustoz, M. Ismail, S. Suslov, Eds.), pp. 281--333, Kluwer, Dordrecht, 2001 (reprints available).
    • 53. Self-adjoint A$\Delta$Os with vanishing reflection, in: Proceedings NEEDS 2000, Theor. Math. Phys. 128 (2001) 933--945. pdf
    • 54. Sine-Gordon solitons vs. relativistic Calogero-Moser particles, in: Proceedings of the Kiev NATO Advanced Study Institute "Integrable structures of exactly solvable two-dimensional models of quantum field theory", NATO Science Series Vol. 35, (S. Pakuliak, G. von Gehlen, Eds.), pp. 273--292, Kluwer, Dordrecht, 2001. pdf
    • 55. (with A. Degasperis) Newton-equivalent Hamiltonians for the harmonic oscillator, Ann. Phys. (NY) 293 (2001) 92--109. pdf
    • 56. Relativistic Lam\'e functions revisited, in: Proceedings Tokyo SIDE IV Conference (2000), (J. Hietarinta, F. Nijhoff, J. Satsuma, Eds.), J. Phys. A: Math. Gen. 34 (2001) 10595--10612. pdf
    • 57. A nonlocal Kac-van Moerbeke equation admitting N-soliton solutions, in: Proceedings of the Session "Integrable Systems" of the AMS/Hong Kong Conference (2000), (W.-X. Ma, P. J. Olver, M. Yan, J. Hu, Eds.), J. Nonlinear Math. Phys., Suppl. 1 to Vol. 9 (2002) 192--206 (reprints available). pdf
    • 58. Factorized weight functions vs. factorized scattering, Comm. Math. Phys. 228 (2002) 467--494. pdf
    • 59. Reflectionless analytic difference operators III. Hilbert space aspects, J. Nonlinear Math. Phys. 9 (2002) 181--209. pdf
    • 60. A new class of reflectionless second-order A$\Delta$Os and its relation to nonlocal solitons, Regular and Chaotic Dynamics, 7 (2002) 351--391. pdf
    • 61. A generalized hypergeometric function II. Asymptotics and $D_4$ symmetry, Comm. Math. Phys., 243 (2003) 389--412. pdf
    • 62. A generalized hypergeometric function III. Associated Hilbert space transform, Comm. Math. Phys., 243 (2003) 413--448. pdf
    • 63. Integrable $BC_N$ analytic difference operators: Hidden parameter symmetries and eigenfunctions, in Proceedings Cadiz 2002 NATO Advanced Research Workshop "New trends in integrability and partial solvability", NATO Science Series Vol. 132, (A.B. Shabat, A. Gonzalez-Lopez, M. Manas, L. Martinez Alonso, M.A. Rodriguez, Eds.), pp. 217--261, Kluwer, Dordrecht, 2004 (reprints available).
    • 64. The Hilbert space asymptotics of a class of orthonormal polynomials on a bounded interval, in "Theory and applications of special functions" (A volume dedicated to Mizan Rahman), Developments in mathematics, Vol. 13, (M.E.H. Ismail, E. Koelink, Eds.), pp. 367--381, Springer, New York, 2005 (reprints available).
    • 65. (with E. Friedman) Shintani-Barnes zeta and gamma functions, Adv. in Math., 187 (2004) 362--395. pdf
    • 66. Relativistic Lame functions: Completeness vs. polynomial asymptotics, in Papers dedicated to Tom Koornwinder, Indag. Math., N.S., 14 (2003) 515--544 (reprints available). pdf
    • 67. Parameter shifts, $D_4$ symmetry, and joint eigenfunctions for commuting Askey-Wilson type difference operators, in Proceedings RAQIS2003, (D. Arnaudon, J. Avan, L. Frappat, E. Ragoucy, P. Sorba, Eds.), J. Phys. A: Math. Gen. 37 (2004) 481--495. pdf
    • 68. A relativistic hypergeometric function, in Proceedings OPSFA2003, (C. Berg, J. S. Christiansen, Eds.), J. Comput. Appl. Math. 178 (2005) 393--417. pdf
    • 69. Particles and antiparticles, in Encyclopedia of Nonlinear Science (A. Scott, Ed.), pp. 688--690, Routledge, New York, 2005.
    • 70. Derrick-Hobart theorem, in Encyclopedia of Nonlinear Science (A. Scott, Ed.), pp. 193--194, Routledge, New York, 2005.
    • 71. Isometric reflectionless eigenfunction transforms for higher-order A$\Delta$Os, Calogero Festschrift issue, J. Nonlinear Math. Phys. 12 Suppl. 1 (2005) 565--598. pdf
    • 72. (with Y.-M. Chiang) On the Nevanlinna order of meromorphic solutions to linear analytic difference equations, Studies in Appl. Math. 116 (2006) 257--287 (reprints available). pdf
    • 73. Calogero-Moser-Sutherland systems of nonrelativistic and relativistic type, in Encyclopedia of Math. Phys. (J.-P. Francoise, G.L. Naber, S.T. Tsou, Eds.) vol. 1, pp. 403--411, Elsevier, Oxford, 2006.
    • 74. Dirac operator and Dirac field, in Encyclopedia of Math. Phys. (J.-P. Francoise, G.L. Naber, S.T. Tsou, Eds.) vol. 2, pp. 74--86, Elsevier, Oxford, 2006.
    • 75. Sine-Gordon equation, in Encyclopedia of Math. Phys. (J.-P. Francoise, G.L. Naber, S.T. Tsou, Eds.) vol. 4, pp. 576--583, Elsevier, Oxford, 2006.
    • 76. A unitary joint eigenfunction transform for the A$\Delta$Os $\exp(ia_{\pm}d/dz)+\exp(2\pi z/a_{\mp})$, in Proceedings Helsinki SIDE VI (2004), (J.F. van Diejen, R.G. Halburd, Eds.) J. Nonlinear Math. Phys., Suppl. 2 to Vol. 12 (2005) 253--294. pdf
    • 77. (with Y. Komori) Elliptic integrable systems of Calogero-Moser type: A survey, in Proceedings of the 2004 Kyoto Workshop on "Elliptic integrable systems", (M. Noumi, K. Takasaki, Eds.), Rokko Lectures in Math., no. 18, Dept. of Math., Kobe Univ., pp. 201--221. pdf
    • 78. Elliptic integrable systems of Calogero-Moser type: Some new results on joint eigenfunctions, in Proceedings of the 2004 Kyoto Workshop on "Elliptic integrable systems", (M. Noumi, K. Takasaki, Eds.), Rokko Lectures in Math., no. 18, Dept. of Math., Kobe Univ., pp. 223--240. pdf
    • 79. Zero-eigenvalue eigenfunctions for differences of elliptic relativistic Calogero-Moser Hamiltonians, in Proceedings 2005 Dubna Conference on Classical and quantum integrable systems, Theor. Math. Phys. 146 (2006) 25--33. pdf
    • 80. Quadratic transformations for a function that generalizes ${}_2F_1$ and the Askey-Wilson polynomials, in Askey Festschrift issue (Bexbach 2003 Proceedings), Ramanujan J. 13 (2006) 339--364 (reprints available). pdf
    • 81. (with L. Stodolsky) On the Euclidean version of the photon number integral, J. Math. Phys. 49 (2008) 023502 (10 pages). pdf
    • 82. The classical hyperbolic Askey-Wilson dynamics without bound states, in Proceedings 2007 Dubna Conference on Classical and quantum integrable systems, Theor. Math. Phys. 154 (2008) 418--432. pdf
    • 83. Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type. I. The eigenfunction identities, Comm. Math. Phys. 286 (2009) 629--657. pdf
    • 84. Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type. II. The $A_{N-1}$ case: First steps, Comm. Math. Phys. 286 (2009) 659--680. pdf
    • 85. (with J. J. C. Nimmo) Tzitzeica solitons vs. relativistic Calogero-Moser 3-body clusters, J. Math. Phys. 50 (2009) 043511 (31 pages). pdf
    • 86. Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type. III. The Heun case, SIGMA 5 (2009) 049 (21 pages). pdf
    • 87. Ruijsenaars--Schneider model, Scholarpedia (2009) 4(5):7760. Scholarpedia


    • Last modified: 22 November 2009