Is theoretical physics the same thing as mathematics?

Physics Report

Volumn 315, Issue 1-4, 1999, Pages 95-105

  Chapline, George ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

03.65. w

Indexed keywords

EID: 0002152268     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(99)00015-0     Document Type: Article

References (37)

1. Chapline G., Slansky R. Dimensional reduction and flavor chirality. Nucl. Phys. B. 209:1982;461.
2. Green M., Schwarz J.H. Anomaly cancellations in supersymmetric. D=10 superstring theory Phys. Lett. B. 144:1984;117.
3. Schellekens A., Warner N. Anomolies and Modular Invariance in String Theory. Phys. Lett. B. 177:1985;317.
4. G. Chapline, Unification of elementary particle physics in 26 dimensions, Phys. Lett. B 158 (1985) 393; The Monster sporadic group and a theory underlying superstring models, in: Proceedings of the Strings '96 Conference, Institute for Theoretical Physics, 1996.
5. G. Chapline, Unification of elementary particle physics in 26 dimensions, Phys. Lett. B 158 (1985) 393; The Monster sporadic group and a theory underlying superstring models, in: Proceedings of the Strings '96 Conference, Institute for Theoretical Physics, 1996.
6. E.P. Wigner, The unreasonable effectiveness of mathematics in the natural sciences. Comm. Pure Appl. Math. 13 (February 1960).
7. R. Hersh, What is Mathematics, Really? Oxford University Press, Oxford, 1997.
8. L.H. Kauffman, On Knots, Princeton University Press, 1987.
9. E. Witten, Supersymmetry and Morse theory, J. Differential Geom. 17 (1982) 661; Topological Quantum Field Theory 117 (1988) 353.
10. E. Witten, Supersymmetry and Morse theory, J. Differential Geom. 17 (1982) 661; Topological Quantum Field Theory 117 (1988) 353.
11. Dereli T., Vercin A. W(∞) covariance of the Weyl-Wigner-Groenewold-Moyal quantization J. Math. Phys. 38:1997;5515.
12. G. Chapline, A. Granik, Moyal quantization, holography, and the quantum geometry of surfaces, Chaos, Solitons and Fractals, to be published.
13. P.W. Shor, Algorithms for quantum computation: discrete log and factoring, in Proceedings of the 35th Annual Symposium on Foundations of Computer Science, IEEE Press, 1994.
14. Glover L.K. Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 79:1997;325.
15. T. Kohonen, Self-Organization and Associative Memory, Springer, Berlin, 1988.
16. B. Schumacher, Information from quantum measurements, in: W.H. Zurek (Ed.), Complexity, Entropy and the Physics of Information, Addison-Wesley, Reading, MA, 1990.
17. Kholevo A.S. Bounds for the quantity of information transmitted by a quantum communication channel. Problems of Information Transfer. 9:1973;3.
18. G. Chapline, Information flow in quantum mechanics, in: T.D. Black et al. (Eds.), Santa Fe Workshop on Foundations of Quantum Mechanics, World Scientific, Singapore, 1988.
19. Caves C.M., Drummond P.D. Quantum limits on bosonic communication rates. Rev. Modern Phys. 66:1994;481.
20. E. Fermi, Notes on Thermodynamics and Statistics, University of Chicago Press, Chicago, 1966.
21. Wigner E. On the quantum correction for thermodynamic equilibrium. Phys. Rev. 40:1932;749.
22. Moyal J.E. Quantum mechanics as a statistical theory. Proc. Camb. Phil. Soc. 45:1949;99.
23. Dyson F.J. Photon noise and atmospheric noise in active optical systems. J. Optical Soc. Am. 65:1975;551.
24. D.F. Walls, G.J. Milburn, Quantum Optics, Springer, Berlin, 1994.
25. Perelomov A.M. Coherent states for an arbitrary Lie group. Commun. Math. Phys. 26:1972;222.
26. Zang W., Feng D.H., Gilmore R. Coherent states: theory and applications. Rev. Mod. Phys. 62:1990;867.
27. Adler M., van Moerbeke P. Completely integrable systems, Lie algebras, and curves. Adv. Math. 38:1980;267.
28. A.C. Newell, Solitons in Mathematics and Physics, SIAM, 185.
29. H.M. Farkas, I. Kra, Riemann Surfaces, Springer, Berlin, 1992.
30. Newton R.G., Jost R. The construction of potentials from the S-matrix for systems of differential equations. Nuovo Cimento. 1:1955;590.
31. Deutsch D., Barenco A., Ekert A. Universality in quantum computation. Proc. R. Soc. London A. 449:1995;669.
32. Lloyd S. Almost any quantum logic gate is universal. Phys. Rev. Lett. 75:1995;346.
33. Hopfield J.J. Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. B. 209:1984;3088.
34. Horava P., Witten E. Heterotic and Type I string dynamics from eleven dimensions. Nucl. Phys. B. 460:1996;506.
35. Floratos E.G., Leontaris G.K. Integrability of self-dual membranes in. (4+1) dimensions and the Toda lattice Phys. Lett. B. 223:1989;153.
36. Castro C. A Moyal quantization of the continuous Toda field. Phys. Lett. B. 413:1997;53.
37. G. Chapline, Sentient networks, in: Proceedings of the First International Conference on Multisource-Multisensor Fusion, CREA Press Athens, Georgia, 1998.