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Robertson-Walker evreninde kütleli spin-1 parçacıklarının yaratılması

Year 2018, Volume: 18 Issue: 3, 774 - 779, 30.12.2018

Abstract

Bu çalışmada, ilk adım olarak, zamana bağlı bir dış elektrik alanın varlığında Robertson-Walker(RW) tipi (1+1)-boyutlu uzay-zaman modeli kullanılarak kütleli spin-1 parçacıklarını dinamiğini betimleyen Duffine-Kemmer-Petiau (DKP) denkleminin tam çözümleri elde edilmiştir. Daha sonra, elde edilen çözümler kullanılarak akım yoğunluğu hesaplanarak parçacık yaratma durumları tartışılmıştır. Parçacık yaratma sürecinin doğrudan ölçek parametresi ve elektrik alanın büyüklüğüne bağlı olduğu sonucuna ulaşılmıştır.

References

  • Abramowitz, M. and Stegun, I., 1964. Handbook of Mathematical Functions, United States Department of Commerce.
  • Birrell, N. D. and Davies, P. C. W., 1982. Quantum fields in curved space. Cambridge University Press.
  • Biswas, S., Guha, J. and Sarkar, N. G., 1993. WKB approximation in complex time. Pramana J. Phys., 40, 467.
  • Biswas, S., Guha, J. and Sarkar, N. G., 1994a. WKB approximation in complex time II. Pramana J. Phys., 42, 319-332.
  • Biswas, S., Guha, J. and Dasgupta, P., 1994b. Complex multiple reflection in time and pair production. Int. J. Mod. Phys. A, 10, 319.
  • Biswas, S., Guha, J. and Sarkar, N. G., 1995. Particle production in de Sitter space. Class. Quantum Grav., 12, 1591.
  • Boumali, A., 2007. One-dimensional thermal properties of the Kemmer oscillator. Phys. Scr., 76, 669.
  • Duffin, R. J., 1938. On the characteristic matrices of covariant systems. Phys. Rev., 54, 1114.
  • Darroodi, M., Hassanabadi, H. and Salehi, N., 2015. The modified Woods-Saxon potential in the Duffin-Kemmer-Petiau equation. Eur. Phys. J. A, 51, 69.
  • Gordon, W., 1928. Der strom der Diracschen Elektronentheorie. Z. Phys., 50, 630-632.
  • Guha, J., Biswas, D., Sarkar, N.G. and Biswas, S., 1995. Effect of particle production in Robertson-Walker spacetime. Class. Quantum Grav., 12, 1641.
  • Garriga, J., 1994. Pair production by an electric field in (1+1)-dimensional de Sitter space. Phys. Rev. D, 49, 6343.
  • Hawking, S. W., 1975. Particle creation by black holes. Commun. Math. Phys., 43, 199.
  • Havare, A., Korunur, M., Aydogdu, O., Salti, M. and Yetkin, T., 2005. Exact solutions of the photon equation in anisotropic spacetimes. Int. J. Mod. Phys. D, 14, 957.
  • Kemmer, N., 1939. The particle aspect of meson theory. Proc. Roy. Soc. A, 173, 91.
  • Klein, O., 1934. Die reflexion von elektronen an einem potentialsprung nach der relativischen dynamic von Dirac. Zeitschrift fur Physik, 53, 34.
  • Parker, L. and Toms, D. J., 2009. Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity. Cambridge University Press.
  • Petiau, G., 1936. University of Thesis. Published in Acad. R. Belg. Cl. Sci. Mem. Collect. 8 16 (2) (1936)
  • Salti, M. and Havare, A., 2005. On the equivalence of the massless dkp equation and the maxwell equations in the shower. Mod. Phys. Lett. A, 20, 451.
  • Sarkar, N. G. and Biswas, S., 1998. Particle production in curved spacetime. Pramana J. Phys., 50, 109-131.
  • Schwinger, J., 1951. On Gauge Invariance and Vacuum Polarization. Phys. Rev., 82, 664. Sogut, K. and Havare, A., 2006. Spin-1 particle in an electrical field in (1 + 1)- dimensional Schroedinger spacetime. Class. Quantum Gravity, 23, 7129-7142.
  • Sogut, K. and Havare, A., 2010. Transmission resonances in the Duffin-Kemmer-Petiau equation in (1+1) dimensions for an asymmetric cusp potential. Phys. Scr., 82, 045013.
  • Taylor, W. C., 1939. A Complete Set of Asymptotic Formulas for the Whittaker Function and the LaGuerre Polynomials, Journal of Mathematics and Physics, 18, 34.
  • Unal, N., 2005. Duffın-Kemmer-Petıau equation, proca equation and maxwells equation ın 1+1 d. Concepts Phys., 2, 273.
  • Unal, N., 1998. Path ıntegral quantization of a spinning particle. Found. Phys., 28, 755.
  • Unal, N., 1997. A simple model of the classical zitterbewegung: photon wave function. Found. Phys., 27, 731-746.
  • Villalba, V. M., 1995. Creation of spin-1/2 particles by an electric field in de Sitter space. Phys. Rev. D., 52, 6, 3742-3745.
  • Villalba, V. M. and Greiner, W., 2002. Creation of dirac particles in the presence of a constant electric field in an anisotropic bianchi i universe. Mod. Phys. Lett. A, 17,1883.
  • Villalba, V. M. and Catala, E. I., 2002. Separation of variables and exact solution of the Klein-Gordon and Dirac equations in an open universe. J. Math. Phys., 43, 10, 4909.
  • Villalba, V. M., 1999. Creation of scalar particles in the presence of a constant electric field in an anisotropic cosmological universe. Phys. Rev. D, 60, 127501.
  • Villalba, V. M. and Greiner, W., 2001. Creation of scalar and Dirac particles in the presence of a time varying electric field in an anisotropic Bianchi type I universe. Phys. Rev. D, 65, 025007.
Year 2018, Volume: 18 Issue: 3, 774 - 779, 30.12.2018

Abstract

References

  • Abramowitz, M. and Stegun, I., 1964. Handbook of Mathematical Functions, United States Department of Commerce.
  • Birrell, N. D. and Davies, P. C. W., 1982. Quantum fields in curved space. Cambridge University Press.
  • Biswas, S., Guha, J. and Sarkar, N. G., 1993. WKB approximation in complex time. Pramana J. Phys., 40, 467.
  • Biswas, S., Guha, J. and Sarkar, N. G., 1994a. WKB approximation in complex time II. Pramana J. Phys., 42, 319-332.
  • Biswas, S., Guha, J. and Dasgupta, P., 1994b. Complex multiple reflection in time and pair production. Int. J. Mod. Phys. A, 10, 319.
  • Biswas, S., Guha, J. and Sarkar, N. G., 1995. Particle production in de Sitter space. Class. Quantum Grav., 12, 1591.
  • Boumali, A., 2007. One-dimensional thermal properties of the Kemmer oscillator. Phys. Scr., 76, 669.
  • Duffin, R. J., 1938. On the characteristic matrices of covariant systems. Phys. Rev., 54, 1114.
  • Darroodi, M., Hassanabadi, H. and Salehi, N., 2015. The modified Woods-Saxon potential in the Duffin-Kemmer-Petiau equation. Eur. Phys. J. A, 51, 69.
  • Gordon, W., 1928. Der strom der Diracschen Elektronentheorie. Z. Phys., 50, 630-632.
  • Guha, J., Biswas, D., Sarkar, N.G. and Biswas, S., 1995. Effect of particle production in Robertson-Walker spacetime. Class. Quantum Grav., 12, 1641.
  • Garriga, J., 1994. Pair production by an electric field in (1+1)-dimensional de Sitter space. Phys. Rev. D, 49, 6343.
  • Hawking, S. W., 1975. Particle creation by black holes. Commun. Math. Phys., 43, 199.
  • Havare, A., Korunur, M., Aydogdu, O., Salti, M. and Yetkin, T., 2005. Exact solutions of the photon equation in anisotropic spacetimes. Int. J. Mod. Phys. D, 14, 957.
  • Kemmer, N., 1939. The particle aspect of meson theory. Proc. Roy. Soc. A, 173, 91.
  • Klein, O., 1934. Die reflexion von elektronen an einem potentialsprung nach der relativischen dynamic von Dirac. Zeitschrift fur Physik, 53, 34.
  • Parker, L. and Toms, D. J., 2009. Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity. Cambridge University Press.
  • Petiau, G., 1936. University of Thesis. Published in Acad. R. Belg. Cl. Sci. Mem. Collect. 8 16 (2) (1936)
  • Salti, M. and Havare, A., 2005. On the equivalence of the massless dkp equation and the maxwell equations in the shower. Mod. Phys. Lett. A, 20, 451.
  • Sarkar, N. G. and Biswas, S., 1998. Particle production in curved spacetime. Pramana J. Phys., 50, 109-131.
  • Schwinger, J., 1951. On Gauge Invariance and Vacuum Polarization. Phys. Rev., 82, 664. Sogut, K. and Havare, A., 2006. Spin-1 particle in an electrical field in (1 + 1)- dimensional Schroedinger spacetime. Class. Quantum Gravity, 23, 7129-7142.
  • Sogut, K. and Havare, A., 2010. Transmission resonances in the Duffin-Kemmer-Petiau equation in (1+1) dimensions for an asymmetric cusp potential. Phys. Scr., 82, 045013.
  • Taylor, W. C., 1939. A Complete Set of Asymptotic Formulas for the Whittaker Function and the LaGuerre Polynomials, Journal of Mathematics and Physics, 18, 34.
  • Unal, N., 2005. Duffın-Kemmer-Petıau equation, proca equation and maxwells equation ın 1+1 d. Concepts Phys., 2, 273.
  • Unal, N., 1998. Path ıntegral quantization of a spinning particle. Found. Phys., 28, 755.
  • Unal, N., 1997. A simple model of the classical zitterbewegung: photon wave function. Found. Phys., 27, 731-746.
  • Villalba, V. M., 1995. Creation of spin-1/2 particles by an electric field in de Sitter space. Phys. Rev. D., 52, 6, 3742-3745.
  • Villalba, V. M. and Greiner, W., 2002. Creation of dirac particles in the presence of a constant electric field in an anisotropic bianchi i universe. Mod. Phys. Lett. A, 17,1883.
  • Villalba, V. M. and Catala, E. I., 2002. Separation of variables and exact solution of the Klein-Gordon and Dirac equations in an open universe. J. Math. Phys., 43, 10, 4909.
  • Villalba, V. M., 1999. Creation of scalar particles in the presence of a constant electric field in an anisotropic cosmological universe. Phys. Rev. D, 60, 127501.
  • Villalba, V. M. and Greiner, W., 2001. Creation of scalar and Dirac particles in the presence of a time varying electric field in an anisotropic Bianchi type I universe. Phys. Rev. D, 65, 025007.
There are 31 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Evrim Ersin Kangal This is me

Publication Date December 30, 2018
Submission Date March 10, 2018
Published in Issue Year 2018 Volume: 18 Issue: 3

Cite

APA Kangal, E. E. (2018). Robertson-Walker evreninde kütleli spin-1 parçacıklarının yaratılması. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 18(3), 774-779.
AMA Kangal EE. Robertson-Walker evreninde kütleli spin-1 parçacıklarının yaratılması. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. December 2018;18(3):774-779.
Chicago Kangal, Evrim Ersin. “Robertson-Walker Evreninde kütleli Spin-1 parçacıklarının yaratılması”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18, no. 3 (December 2018): 774-79.
EndNote Kangal EE (December 1, 2018) Robertson-Walker evreninde kütleli spin-1 parçacıklarının yaratılması. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18 3 774–779.
IEEE E. E. Kangal, “Robertson-Walker evreninde kütleli spin-1 parçacıklarının yaratılması”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 18, no. 3, pp. 774–779, 2018.
ISNAD Kangal, Evrim Ersin. “Robertson-Walker Evreninde kütleli Spin-1 parçacıklarının yaratılması”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18/3 (December 2018), 774-779.
JAMA Kangal EE. Robertson-Walker evreninde kütleli spin-1 parçacıklarının yaratılması. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2018;18:774–779.
MLA Kangal, Evrim Ersin. “Robertson-Walker Evreninde kütleli Spin-1 parçacıklarının yaratılması”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 18, no. 3, 2018, pp. 774-9.
Vancouver Kangal EE. Robertson-Walker evreninde kütleli spin-1 parçacıklarının yaratılması. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2018;18(3):774-9.