By Eric Temple Bell

ISBN-10: 0486272397

ISBN-13: 9780486272399

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Stud. Contemp. Math. 7,Gordon and Breach, New York, 1990, 465-554. 4. M. Green, J. Schwarz, E. Witten Superstring theory, (Cambridge Univ. Press, Cambridge, 1987) 5. S. Marinov, Soviet Physics Uspekhi, 20,no. 3, 179 (1977); translated from Uspehi Fiz. Nauk, 121 no. 3, 377 (1977). 6. B. Feigin, Usp. Mat. Nauk 39,no. 2 (236), 195 (1984) (English translation: Russian Math. Surveys, 39,155-156). 7. B. Feigin, in Proceedings of the International Congress of Mathematicians, Vol. I, I1 (Kyoto, 1990), 71-85, (Math.

Earlier, Kanai [a] had considered a simple form of the time-dependent linear oscillator. Though this model was criticized by Brittin [6] and Senitzky [7] for various reasons, Landovitz et al, ignoring the criticism, proceeded to calculate the Green’s function [8] for the general form of Kanai’s model and used it to calculate the corresponding transition amplitudes [9]. Their calculations are very difficult to comprehend. Recently we used standard operators to calculate the transition amplitudes for the general time-dependent linear harmonic oscillator in a transparent manner [lo].

Ulker, and B. Yapqkan, JHEP 10,010 (2003) . 5. O F . Dayi and B. Yapigkan, JHEP 11,064 (2004) . 6. F. T. Kelleyane and K. Ulker, JHEP 10,035 (2005). 7. N. Seiberg and E. Witten, JHEP 09,032 (1999). 8. J. Wess and J. Bagger, Supersymmetry and supergravity (Princeton University Press, 1992). 9. N. Seiberg and E. Witten, Nucl. Phys. B 426,19 (1994) . 10. N. Berkovits, JHEP 04,018 (2000) . 11. H. Ooguri and C. Phys. 7,53 (2003). 12. N. Seiberg, JHEP 06, 010 (2003). 13. J. A. Grassi , P. van Nieuwenhuizen, Phys.

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The development of mathematics by Eric Temple Bell

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