Abstract
The non-perturbative method, developed recently, of WKB approximation in complex time is applied to some known curved space time. Three cases namely (1) static in and out region, (2) non-static in and out region, (3) static in and non static out region are considered here. We find non-trivial particle production corresponding to the quantum vacuum definition of Castagnino and Mazzitelli.
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References
J F Schwinger,Phys. Rev. 82, 664 (1951)
D E Neville,Phys. Rev. D8, 1695 (1984)
A H Najmi and A C Ottewill,Phys. Rev. D8, (1984)
G Samenoff and N Weiss,Phys. Rev. D31, (1985)
E Mottla,Phys. Rev. D31, 754 (1985)
W R Walker,Phys. Rev. D31, 767 (1985)
L H Ford,Phys. Rev. D31, 710 (1985)
L Parker,Phys. Rev. Lett. 21, 582 (1968)
S Biswas and J Guha,Pramana - J. Phys. 40, 467 (1993)
S Biswas and L Das,Int. J. Theor. Phys. 30, 789 (1991)
A Vilenkin,Phys. Rev. D37, 888 (1988)
J M Eisberg and G Kalbermann,Phys. Rev. D37, 1197 (1988)
J Knoll and R Schaeffer,Ann. Phys. 97, 307 (1976)
J Knoll and R Schaeffer,Phys. Rep. 31, 159 (1977)
F Schrempp and B Schrempp,Nucl. Phys. B163, 397 (1980)
A K Ghatak and S Loknathan,Quantum mechanics, theory and applications (Macmillan India Ltd, New Delhi, 1984) Ch 13
J M Cornwall and G Ticktopoulos,Phys. Rev. D39, 334 (1989)
N D Birrel and P C W Davies,Quantum field in curved space time (University Press, Cambridge, 1982)
K H Lotze,Simultaneous creation of e +e− pairs and photons in RW universe, IC/89/115
S Biswas, J Guha and P Dasgupta,Int. J. Mod. Phys. (submitted)
S Biswas, B Modak and J Guha,Pramana - J. Phys. (submitted)
A O Barut and I H Duru, ICTP preprint,Pair production in electric field in a time dependent gauge, IC/89/179 (1989)
M A Castagnino and F D Mazitelli,Phys. Rev. D31, 742 (1985)
M A Castagnino and L Chimento,Phys. Rev. D34, 3676 (1986)
M A Castagnino, E Gunzig, P Nardone and J P Paz,Phys. Rev. D34, 3698 (1986)
F D Mazzitelli, J P Paz and M A Castagnino,Phys. Rev. D36, 2994 (1987)
L Parker,Fundam. Cosmic Phys. 7, 201 (1982)
A O Barut and L P Singh,Exact solution of the Dirac equation in spatially non-flat RW space time II, ICTP (1990) IC/90/205
V Sahni,Class. Quantum. Gravitation 1, 579 (1984)
S Biswas,Pramana - J. Phys. 36, 519 (1991)
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Biswas, S., Guha, J. & Sarkar, N.G. WKB approximation in complex time II. Pramana - J. Phys. 42, 319–332 (1994). https://doi.org/10.1007/BF02847758
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DOI: https://doi.org/10.1007/BF02847758