Scaling ands-channel helicity conservation via optimal state description of hadron-hadron scattering
Article
Received:
- 25 Downloads
- 6 Citations
Abstract
Two important physical laws of hadron-hadron scattering—the scaling of the angular distributions ands-channel helicity conservation—are proved using reproducing-kernel Hilbert space methods. All the results are obtained as special properties of optimal state dominance in hadron-hadron scattering.
Keywords
Hilbert Space Field Theory Optimal State Elementary Particle Quantum Field Theory
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- Ali, T. S. (1984a). Harmonic analysis on phase space I: Reproducing kernel Hilbert spaces, POV-measures and systems of covariance, Concordia University preprint.Google Scholar
- Ali, T. S. (1984b). Quantization using reproducing kernels: Phase space setting and modular structure. Paper presented at the XIII International Conference on Differential Geometrical Methods in Physics, Skumen, Bulgaria.Google Scholar
- Aronszajn, N. (1943).Proceedings of the Cambridge Philosophical Society,39, 133.Google Scholar
- Aronszajn, N. (1950).Transactions of the American Mathematical Society,68, 337.Google Scholar
- Ballam, J.,et al. (1970).Physical Review Letters,24, 960.Google Scholar
- Bargmann, V. (1961).Communications in Pure and Applied Mathematics,19, 187.Google Scholar
- Bergman, S. (1950).The Kernel Function and Conformal Mapping, Mathematical Surveys No. 5, American Mathematical Society, Providence, Rhode Island.Google Scholar
- Bergman, S., and Schiffer, M. (1953).Kernel Functions and Elliptic Differential Equations in Mathematical Physics, Academic Press, New York.Google Scholar
- Bialas, A., Dabkowski, J., and Van Hove, L. (1970).Nuclear Physics B,27, 291.Google Scholar
- Buras, A., and Dias de Deus, J. (1974).Nuclear Physics B,375, 981.Google Scholar
- Carey, A. L. (1977).Communications in Mathematical Physics,52, 77.Google Scholar
- Carey, A. L. (1978).Reports in Mathematical Physics,14, 247.Google Scholar
- Cornille, H., and Martin, A. (1976). CERN Report, TH-2130, Talk presented at Orbis Scientae, Coral Gables.Google Scholar
- Cutkosky, R. W. (1973).Journal of Mathematical Physics,14, 1231.Google Scholar
- Dias de Deus, J. (1973).Nuclear Physics B,159, 231.Google Scholar
- Edmonds, A. R. (1957).Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, New Jersey.Google Scholar
- Einhorn, M. B., and Blankenbecler, R. (1971).Annals of Physics,67, 470.Google Scholar
- Gilman, F. J. (1970).Physics Letters,31B, 387.Google Scholar
- Glauber, K. (1963a)Physical Review,130, 2529.Google Scholar
- Glauber, K. (1963b).Physical Review,131, 2766.Google Scholar
- Harari, H., and Zarmi, Y. (1970).Physics Letters,32B, 291.Google Scholar
- Higgins, J. R. (1972).Journal of the London Mathematical Society,5 (2), 707.Google Scholar
- Higgins, J. R. (1977).Completeness and Basis Properties of Sets of Special Functions, Cambridge University Press, Cambridge, England.Google Scholar
- Hille, E. (1972).Rocky Mountain Journal of Mathematics,2, 321.Google Scholar
- Ion, D. B. (1981a).Revue Roumaine de Physique,26, 15.Google Scholar
- Ion, D. B. (1981b).Revue Roumaine de Physique,26, 25.Google Scholar
- Ion, D. B. (1982a). Towards an optimum principle in hadron-hadron scattering, Preprint IPNE, FT-211, Bucharest.Google Scholar
- Ion, D. B. (1982b). Scaling ands-channel helicity conservation in hadron-hadron scattering, Preprint IPNE, FT-218-1982, Bucharest.Google Scholar
- Ion, D. B. (1985).International Journal of Theoretical Physics,24, 1217.Google Scholar
- Ion, D. B., and Ion-Mihai, R. (1981a).Nuclear Physics A,360, 400.Google Scholar
- Ion, D. B., and Ion-Mihai, R. (1981b). Experimental evidence for dual diffractive resonances in nucleon-nucleus scattering, Preprint IPNE, FT-204-1981, Bucharest.Google Scholar
- Ion, D. B., and Scutaru, H. (1985).International Journal of Theoretical Physics,24, 355.Google Scholar
- Jacob, M., and Wick, G. C. (1959).Annals of Physics,7, 404.Google Scholar
- Klauder, J. R., and Sudarshan, E. C. G. (1968).Fundamental of Quantum Optics, Benjamin, New York.Google Scholar
- Klauder, J. R., and Skagerstam, B. S. (1985).Coherent States—Applications in Physics and Mathematical Physics, World Scientific, Singapore.Google Scholar
- Krein, M. G. (1940).Doklady Academii Nauk SSSR,26, 17.Google Scholar
- Krein, M. G. (1949).Ukrainskii Mathematicheskii Zhurnal,1, 64.Google Scholar
- Krein, M. G. (1963).Transactions of the American Mathematical Society,34(2), 109.Google Scholar
- McKenna, J., and Klauder, J. R. (1964).Journal of Mathematical Physics,5, 878.Google Scholar
- Meschkowski, A. (1962).Hillertsche Raume mit Kernfunction, Springer, Berlin.Google Scholar
- Okubo, S. (1974).Journal of Mathematical Physics,15, 963.Google Scholar
- Parida, M. K. (1979).Physical Review D,19, 150, 164.Google Scholar
- Parzen, E. (1967).Time Series Analysis Papers, Holden-Day, San Francisco.Google Scholar
- Perelomov, A. M. (1972).Communications in Mathematical Physics.26, 222.Google Scholar
- Prugovecki, E. (1983).Stochastic Quantum Mechanics and Quantum Spacetime, D. Reidel, Dordrecht.Google Scholar
- Rarita, W., and Schwed, Ph. (1958).Physical Review,112, 271.Google Scholar
- Rose, M. E. (1957).Elementary Theory of Angular Momentum, Wiley, New York.Google Scholar
- Schroeck, F. E. (1984). Quantum fields for reproducing kernel Hilbert spaces, Paper presented at the 815th Meeting of the American Mathematical Society, San Diego.Google Scholar
- Scutaru, H. (1977).Letters in Mathematical Physics,2, 101.Google Scholar
- Shapiro, H. S. (1971). Topics in approximation theory,Lecture Notes in Mathematics, No. 187, Chapter 6, Springer, Berlin.Google Scholar
- Singh, V., and Roy, S. M. (1970).Physical Review D,1, 2638;Physical Review Letters,24, 28.Google Scholar
- Wick, G. C. (1943).Attidella Reale Accademia d'ltalia Memorie 13, 1203.Google Scholar
- Wilde, D. J., and Beightler, C. S. (1967).Foundations of Optimization, Prentice-Hall, Englewood Cliffs, New Jersey.Google Scholar
- Weinert, H. L., ed (1983).Reproducing Kernel Hilbert Spaces: Application in Statistical Signal Processing, Hutkinson Ross, Stroudsberg, Pa.Google Scholar
Copyright information
© Plenum Publishing Corporation 1986