Abstract
In this paper Bose description of the deformed parabose oscillator with Z p -graded reflection symmetry is discussed. New lowering and raising operators are obtained from p Bose operators and their adjoint ones. These new step operators are shown to be satisfy the Heisenberg relation of Wigner algebra type.
Similar content being viewed by others
References
Green, H.: Phys. Rev. 90, 270 (1953)
Greenberg, O. W., Messiah, A. M. L.: Phys. Rev. B 138, 1155 (1965)
Isihara, A.: Statistical Physics. Academic Press, New York (1971)
Ohnuki, Y., Kamefuchi, S.: Quantum Field Theory and Parastatistics. Springer, Berlin (1982)
Safonov, V. L.: Phys. Status Solidi B 167, 109 (1991)
Van der Jeugt, J., Jagannathan, R.: J. Math. Phys. 36, 4507 (1995)
Marcinek, W.: Int. J. Mod. Phys. A 10, 1465 (1995)
Bytsenko, A. A., Odintsov, S. D., Zerbini, S.: J. Math. Phys. 35, 2057 (1994)
Freeman, M., West, P.: Phys. Lett. B 324, 322 (1994)
Macfarlane, A. J.: J. Math. Phys. 35, 1054 (1994)
Biswas, S. N., Soni, S. K.: J. Math. Phys. 29, 16 (1988)
Palev, T. D., Stoilova, N. I.: J. Phys. A 29, 709 (1996)
Ramon, J.: J. Ciencia 16, 52 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chung, W.S. Bose Description of the Deformed Parabose Oscillator with Z p -Graded Reflection Symmetry. Int J Theor Phys 55, 1593–1600 (2016). https://doi.org/10.1007/s10773-015-2797-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-015-2797-6