Description of quantum scattering via principle of minimum distance in the space of states

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 376, Issue 4, 1996, Pages 282-289

  Ion, D B ^a  

^a INSTITUTE OF ATOMIC PHYSICS   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000948016     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/0370-2693(96)00285-7     Document Type: Article

References (39)

1. D.J. Wilde and C.S. Beightler, Foundations of Optimization, Prentice-Hall, Inc., Englewood Cliffs, N.J. (1967).
2. D.B. Ion and H. Scutaru, International J. Theor. Phys. 24 (1985) 355.
3. D.B. Ion, International J. Theor. Phys. 24 (1985) 1217.
4. D.B. Ion, International J. Theor. Phys. 25 (1986) 1257.
5. D.B. Ion and M.L.D. Ion, Phys. Lett. B 352 (1995) 155.
6. N. Aronsjain, Proc. Cambridge Philos. Soc. 39 (1943) 133; Trans. Amer. Math. Soc. 68 (1950) 337; S. Bergman, The Kernel Function and Conformal mapping, Math. Surveys No 5. AMS, Providence, Rhode Island (1950); S. Bergman and M. Schiffer, Kernel Functions and Eliptic Differential Equations in Mathematical Physics, Academic Press, New York (1953); A. Meschkowski, Hilbertische Raume mit Kernfunction, Springer, Berlin (1962); H.S. Shapiro, Topics in Approximation Theory, Lecture Notes in Mathematics, No 187, Ch. 6, Springer, Berlin (1971).
7. N. Aronsjain, Proc. Cambridge Philos. Soc. 39 (1943) 133; Trans. Amer. Math. Soc. 68 (1950) 337; S. Bergman, The Kernel Function and Conformal mapping, Math. Surveys No 5. AMS, Providence, Rhode Island (1950); S. Bergman and M. Schiffer, Kernel Functions and Eliptic Differential Equations in Mathematical Physics, Academic Press, New York (1953); A. Meschkowski, Hilbertische Raume mit Kernfunction, Springer, Berlin (1962); H.S. Shapiro, Topics in Approximation Theory, Lecture Notes in Mathematics, No 187, Ch. 6, Springer, Berlin (1971).
8. N. Aronsjain, Proc. Cambridge Philos. Soc. 39 (1943) 133; Trans. Amer. Math. Soc. 68 (1950) 337; S. Bergman, The Kernel Function and Conformal mapping, Math. Surveys No 5. AMS, Providence, Rhode Island (1950); S. Bergman and M. Schiffer, Kernel Functions and Eliptic Differential Equations in Mathematical Physics, Academic Press, New York (1953); A. Meschkowski, Hilbertische Raume mit Kernfunction, Springer, Berlin (1962); H.S. Shapiro, Topics in Approximation Theory, Lecture Notes in Mathematics, No 187, Ch. 6, Springer, Berlin (1971).
9. N. Aronsjain, Proc. Cambridge Philos. Soc. 39 (1943) 133; Trans. Amer. Math. Soc. 68 (1950) 337; S. Bergman, The Kernel Function and Conformal mapping, Math. Surveys No 5. AMS, Providence, Rhode Island (1950); S. Bergman and M. Schiffer, Kernel Functions and Eliptic Differential Equations in Mathematical Physics, Academic Press, New York (1953); A. Meschkowski, Hilbertische Raume mit Kernfunction, Springer, Berlin (1962); H.S. Shapiro, Topics in Approximation Theory, Lecture Notes in Mathematics, No 187, Ch. 6, Springer, Berlin (1971).
10. N. Aronsjain, Proc. Cambridge Philos. Soc. 39 (1943) 133; Trans. Amer. Math. Soc. 68 (1950) 337; S. Bergman, The Kernel Function and Conformal mapping, Math. Surveys No 5. AMS, Providence, Rhode Island (1950); S. Bergman and M. Schiffer, Kernel Functions and Eliptic Differential Equations in Mathematical Physics, Academic Press, New York (1953); A. Meschkowski, Hilbertische Raume mit Kernfunction, Springer, Berlin (1962); H.S. Shapiro, Topics in Approximation Theory, Lecture Notes in Mathematics, No 187, Ch. 6, Springer, Berlin (1971).
11. N. Aronsjain, Proc. Cambridge Philos. Soc. 39 (1943) 133; Trans. Amer. Math. Soc. 68 (1950) 337; S. Bergman, The Kernel Function and Conformal mapping, Math. Surveys No 5. AMS, Providence, Rhode Island (1950); S. Bergman and M. Schiffer, Kernel Functions and Eliptic Differential Equations in Mathematical Physics, Academic Press, New York (1953); A. Meschkowski, Hilbertische Raume mit Kernfunction, Springer, Berlin (1962); H.S. Shapiro, Topics in Approximation Theory, Lecture Notes in Mathematics, No 187, Ch. 6, Springer, Berlin (1971).
12. J. Anandan and Y. Aharonov, Phys. Rev. Lett. 65 (1990) 1697; A.K. Pati, Phys. Lett. A 159 (1991) 105; J. Phys. A: Math. Gen. 25 (1992) 1001.
13. J. Anandan and Y. Aharonov, Phys. Rev. Lett. 65 (1990) 1697; A.K. Pati, Phys. Lett. A 159 (1991) 105; J. Phys. A: Math. Gen. 25 (1992) 1001.
14. J. Anandan and Y. Aharonov, Phys. Rev. Lett. 65 (1990) 1697; A.K. Pati, Phys. Lett. A 159 (1991) 105; J. Phys. A: Math. Gen. 25 (1992) 1001.
15. D.B. Ion and R. Ion Mihai, Nucl. Phys. A 360 (1981) 400; Rev. Roum. Phys. 36 (1991) 15; D.B. Ion, Preprint IPNE-211-1982, Rev. Roum. Phys. 36 (1991) 251; Preprint IPNE-FT-218-1982, Rev. Roum. Phys. 37 (1992) 7; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 37 (1992) 569; D.B. Ion, C. Petrascu and A. Rosca, Rom. J. Phys. 37 (1992) 977; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 38 (1993) 23.
16. D.B. Ion and R. Ion Mihai, Nucl. Phys. A 360 (1981) 400; Rev. Roum. Phys. 36 (1991) 15; D.B. Ion, Preprint IPNE-211-1982, Rev. Roum. Phys. 36 (1991) 251; Preprint IPNE-FT-218-1982, Rev. Roum. Phys. 37 (1992) 7; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 37 (1992) 569; D.B. Ion, C. Petrascu and A. Rosca, Rom. J. Phys. 37 (1992) 977; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 38 (1993) 23.
17. D.B. Ion and R. Ion Mihai, Nucl. Phys. A 360 (1981) 400; Rev. Roum. Phys. 36 (1991) 15; D.B. Ion, Preprint IPNE-211-1982, Rev. Roum. Phys. 36 (1991) 251; Preprint IPNE-FT-218-1982, Rev. Roum. Phys. 37 (1992) 7; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 37 (1992) 569; D.B. Ion, C. Petrascu and A. Rosca, Rom. J. Phys. 37 (1992) 977; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 38 (1993) 23.
18. D.B. Ion and R. Ion Mihai, Nucl. Phys. A 360 (1981) 400; Rev. Roum. Phys. 36 (1991) 15; D.B. Ion, Preprint IPNE-211-1982, Rev. Roum. Phys. 36 (1991) 251; Preprint IPNE-FT-218-1982, Rev. Roum. Phys. 37 (1992) 7; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 37 (1992) 569; D.B. Ion, C. Petrascu and A. Rosca, Rom. J. Phys. 37 (1992) 977; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 38 (1993) 23.
19. D.B. Ion and R. Ion Mihai, Nucl. Phys. A 360 (1981) 400; Rev. Roum. Phys. 36 (1991) 15; D.B. Ion, Preprint IPNE-211-1982, Rev. Roum. Phys. 36 (1991) 251; Preprint IPNE-FT-218-1982, Rev. Roum. Phys. 37 (1992) 7; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 37 (1992) 569; D.B. Ion, C. Petrascu and A. Rosca, Rom. J. Phys. 37 (1992) 977; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 38 (1993) 23.
20. D.B. Ion and R. Ion Mihai, Nucl. Phys. A 360 (1981) 400; Rev. Roum. Phys. 36 (1991) 15; D.B. Ion, Preprint IPNE-211-1982, Rev. Roum. Phys. 36 (1991) 251; Preprint IPNE-FT-218-1982, Rev. Roum. Phys. 37 (1992) 7; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 37 (1992) 569; D.B. Ion, C. Petrascu and A. Rosca, Rom. J. Phys. 37 (1992) 977; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 38 (1993) 23.
21. D.B. Ion and R. Ion Mihai, Nucl. Phys. A 360 (1981) 400; Rev. Roum. Phys. 36 (1991) 15; D.B. Ion, Preprint IPNE-211-1982, Rev. Roum. Phys. 36 (1991) 251; Preprint IPNE-FT-218-1982, Rev. Roum. Phys. 37 (1992) 7; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 37 (1992) 569; D.B. Ion, C. Petrascu and A. Rosca, Rom. J. Phys. 37 (1992) 977; D.B. Ion and C. Petrascu, Rev. Roum. Phys. 38 (1993) 23.
22. W. Rarita and Ph. Schwed, Phys. Rev. 112 (1958) 271.
23. A. Martin, Phys. Rev. 129 (1963) 1432; S.W. MacDowell and A. Martin, Phys. Rev. B 135 (1964) 960; V. Singh and S.M. Roy, Phys. Rev. D 1 (1970) 2638; V. Singh and S.M. Roy, Phys. Rev. Lett. 24 (1970) 28; S.M. Roy, Phys. Rep. C 5 (1972) 125.
24. A. Martin, Phys. Rev. 129 (1963) 1432; S.W. MacDowell and A. Martin, Phys. Rev. B 135 (1964) 960; V. Singh and S.M. Roy, Phys. Rev. D 1 (1970) 2638; V. Singh and S.M. Roy, Phys. Rev. Lett. 24 (1970) 28; S.M. Roy, Phys. Rep. C 5 (1972) 125.
25. A. Martin, Phys. Rev. 129 (1963) 1432; S.W. MacDowell and A. Martin, Phys. Rev. B 135 (1964) 960; V. Singh and S.M. Roy, Phys. Rev. D 1 (1970) 2638; V. Singh and S.M. Roy, Phys. Rev. Lett. 24 (1970) 28; S.M. Roy, Phys. Rep. C 5 (1972) 125.
26. A. Martin, Phys. Rev. 129 (1963) 1432; S.W. MacDowell and A. Martin, Phys. Rev. B 135 (1964) 960; V. Singh and S.M. Roy, Phys. Rev. D 1 (1970) 2638; V. Singh and S.M. Roy, Phys. Rev. Lett. 24 (1970) 28; S.M. Roy, Phys. Rep. C 5 (1972) 125.
27. A. Martin, Phys. Rev. 129 (1963) 1432; S.W. MacDowell and A. Martin, Phys. Rev. B 135 (1964) 960; V. Singh and S.M. Roy, Phys. Rev. D 1 (1970) 2638; V. Singh and S.M. Roy, Phys. Rev. Lett. 24 (1970) 28; S.M. Roy, Phys. Rep. C 5 (1972) 125.
28. H. Cornille and A. Martin, CERN Report, TH-2130 (1976).
29. J. Dias de Deus, Nucl. Phys. B 159 (1973) 231.
30. A. Buras and J. Dias de Deus, Nucl. Phys. B 375 (1974) 981.
31. M.K. Parida, Phys. Rev. D 19 (1979) 150, 164.
32. I. Ambats et al., Phys. Rev. D 9 (1974) 1179.
33. D. Harting et al., Nuovo Cim. 38 (1965) 60.
34. Yu.M. Antripov et al., Nucl. Phys. B 57 (1973) 333.
35. D.S. Ayres et al., Phys. Lett. 35 (1975) 1195.
36. A. Schitz et al., Phys. Rev. D 24 (1981) 26.
37. J. Bistricky, Landolt-Börnstein, New Series, Group I, Vol. 9: (a) Nucleon-Nucleon and Kaon-Nucleon Scattering (1980); N̄N and N̄D Interactions, A Compilation of Particle Data Group, (eds. J.E. Enström et al.) LBL-58 (1972) p. 83.
38. J. Bistricky, Landolt-Börnstein, New Series, Group I, Vol. 9: (a) Nucleon-Nucleon and Kaon-Nucleon Scattering (1980); N̄N and N̄D Interactions, A Compilation of Particle Data Group, (eds. J.E. Enström et al.) LBL-58 (1972) p. 83.
39. G.A. Parker and J. Maynard Smith, Nature 348 (1990) 27.