Abstract
The quantization of the scalar field is reconsidered in some of its basic elements in the context of the Robertson-Walker space-time. The integration of the generalized Klein-Gordon equation is performed by preliminary separation of the equation with the usual separation method. The orthonormal mode solutions are determined by the explicit integration of the resulting angular and radial equations and by standard properties of the time equation. The time evolution given by the standard cosmological model is briefly discussed.
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References
Abramovitz, W., and Stegun, I. E. (1970).Handbook of Mathematical Functions, Dover, New York.
Bander, M., and Itzykson, C. (1966).Review of Modern Physics,38, 346.
Birrell, N. D., and Davies, P. C. W. (1982).Quantum Fields on Curved Space-Time, Cambridge University Press, Cambridge.
Dolginov, A. Z., and Toptygin, I. N. (1960).Soviet Physics JETP,37, 1022.
Ford, L. H. (1976).Physical Review D,14, 3304.
Fulling, S. A. (1973).Physical Review D,7, 2850.
Fulling, S. A. (1989).Aspects of Quantum Field Theory in Curved Space-Time, Cambridge University Press, Cambridge.
Illge, R. (1993).Communications in Mathematical Physics,158, 433.
Kolb, E. W., and Turner, M. S. (1990).The Early Universe, Addison-Wesley, New York.
Newman, E. T., and Penrose, R. (1962).Journal of Mathematical Physics,3, 566.
Parker, L., and Fulling, S. A. (1974).Physical Review D,9, 341.
Zecca, A. (1996).Journal of Mathematical Physics,37, 874.
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Zecca, A. Scalar field equation in Robertson-Walker space-time. Int J Theor Phys 36, 1387–1394 (1997). https://doi.org/10.1007/BF02435931
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DOI: https://doi.org/10.1007/BF02435931