Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1567429
Full text of review:
PDF
This review is available free of charge.
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.
R. F. Streater (ed.), Mathematics of contemporary physics, Academic Press, London-New York, 1972. MR 0396139
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
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, DOI 10.1063/1.525804
James Glimm and Arthur Jaffe, Quantum physics, Springer-Verlag, New York-Berlin, 1981. A functional integral point of view. MR 628000
S. W. Hawking, Particle creation by black holes, Comm. Math. Phys. 43 (1975), no. 3, 199–220. MR 381625
Shing Tung Yau (ed.), Seminar on Differential Geometry, Annals of Mathematics Studies, No. 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
André Lichnerowicz, Propagateurs et commutateurs en relativité générale, Inst. Hautes Études Sci. Publ. Math. 10 (1961), 56 (French). MR 157736
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
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, DOI 10.1073/pnas.77.12.6943
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
I. E. Segal, Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I, Mat.-Fys. Medd. Danske Vid. Selsk. 31 (1959), no. 12, 39 pp. (1959). MR 112626
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
I. E. Segal, Field quantization, Phys. Scripta 24 (1981), no. 5, 827–831. MR 639410, DOI 10.1088/0031-8949/24/5/004
David Shale, Linear symmetries of free boson fields, Trans. Amer. Math. Soc. 103 (1962), 149–167. MR 137504, DOI 10.1090/S0002-9947-1962-0137504-6
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.
- 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 0396139
- 2.
- B. Coll and C. Moreno, C. R. Acad. Sci. Paris Sér. A-B 292 (1981), 303-306. MR 609073
- 3.
- B. Coll and C. Moreno, On a class of synchronized observers attached to the Lorentzian structures, preprint (1982). MR 702108
- 4.
- J. Glimm and A. Jaffe, Quantum physics, Springer-Verlag, Berlin and New York, 1981. MR 628000
- 5.
- S. W. Hawking, Particle creation by black holes, Comm. Math. Phys. 43 (1975), 199. MR 381625
- 6.
- A. Jaffe, Renormalization, Seminar on Differential Geometry (S.-T. Yau (ed.)), Ann. Math. Studies, No. 102, 1982, p. 507. 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, Birkhäuser, Boston, 1981. 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), 6943-6947. MR 603063
- 10.
- M. J. Perry, Gravitational instantons, Seminar on Differential Geometry (S.-T. Yau (ed.)), Ann. Math. Studies, No. 102, 1982, p. 603. 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, Advances in Math. Suppl. Studies 3 (1978), 321. MR 538026
- 13.
- I. E. Segal, Field quantization, Physica Scripta 27 (1981), 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
DOI:
https://doi.org/10.1090/S0273-0979-1983-15124-8