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Book Review

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Book Information:

Authors: N. D. Birrell and P. C. W. Davies
Title: Quantum fields in curved space
Additional book information: Cambridge Monographs on Mathematical Physics, vol. 7, Cambridge Univ. Press, New York, 1982, ix + 340 pp., $49.50. ISBN 0-5212-3385-2.

References [Enhancements On Off] (What's this?)

  • 1. P. J. M. Bongaarts, Linear fields according to I. E. Segal, Mathematics of Contemporary Physics (R. F. Streater (ed.)), Academic Press, New York, 1972, p. 187. MR 396139
  • 2. Bartolomé Coll and Carlos Moreno, Sur une classe d’observateurs synchronisés attachée au laplacien d’espace-temps, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 4, 303–306 (French, with English summary). MR 609073
  • 3. Bartolomé Coll and Carlos Moreno, On a class of synchronized observers attached to the Lorentzian structures, J. Math. Phys. 24 (1983), no. 5, 1245–1255. MR 702108,
  • 4. James Glimm and Arthur Jaffe, Quantum physics, Springer-Verlag, New York-Berlin, 1981. A functional integral point of view. MR 628000
  • 5. S. W. Hawking, Particle creation by black holes, Comm. Math. Phys. 43 (1975), 199. MR 381625
  • 6. Shing Tung Yau (ed.), Seminar on Differential Geometry, Annals of Mathematics Studies, vol. 102, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1982. Papers presented at seminars held during the academic year 1979–1980. MR 645728
  • 7. A. Lichnerowicz, Propagateurs et commutateurs en relativité générale, Inst. Hautes Etudes Sci. Publ. Math. 10 (1961), 56. MR 157736
  • 8. Yu. I. Manin, Mathematics and physics, Progress in Physics, vol. 3, Birkhäuser, Boston, Mass., 1981. Translated from the Russian by Ann Koblitz and Neal Koblitz. MR 632405
  • 9. S. M. Paneitz and I. E. Segal, Quantization of wave equations and Hermitian structures in partial differential varieties, Proc. Nat. Acad. Sci. U.S.A. 77 (1980), no. 12, 6943–6947. MR 603063
  • 10. Malcolm J. Perry, Gravitational instantons, Seminar on Differential Geometry, Ann. of Math. Stud., vol. 102, Princeton Univ. Press, Princeton, N.J., 1982, pp. 603–630. MR 645760
  • 11. I. E. Segal, Foundations of the theory of dynamical systems of infinitely many degrees of freedom, Mat. Fys. Medd. Danske Vid. Selsk. 31 (1959), no. 12. MR 112626
  • 12. I. E. Segal, The complex-wave representation of the free boson field, Topics in functional analysis (essays dedicated to M. G. Kreĭn on the occasion of his 70th birthday), Adv. in Math. Suppl. Stud., vol. 3, Academic Press, New York-London, 1978, pp. 321–343. MR 538026
  • 13. I. E. Segal, Field quantization, Phys. Scripta 24 (1981), no. 5, 827–831. MR 639410,
  • 14. D. Shale, Linear symmetries of the free boson fields, Trans. Amer. Math. Soc. 103 (1962), 149-167. MR 137504
  • 15. J. H. Taylor and P. M. McCulloch, Evidence for the existence of gravitational radiation from measurements of the binary pulsar PSR 1913 + 16, New York Acad. Sci. 336 (1980), 442-446.

Review Information:

Reviewer: Bent Ørsted
Journal: Bull. Amer. Math. Soc. 8 (1983), 471-477
American Mathematical Society