Abstract
The Duffin–Kemmer–Petiau (DKP) equation has been exactly solved for the spin-one particle in the presence of time-dependent harmonic potential in a two dimensional space using the Lewis–Riesenfeld dynamical invariant and unitary transform methods. The dynamical invariant has been constructed and its eigen functions have been obtained. The total wave function as well as the evolution operator have been derived.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Petiau, Acad. R. Belg. A. Sci. Mém. Collect 16 (2), 1 (1936).
G. Petiau, PhD Thesis (Univ. Paris, 1936); Acad. R. Belg. Cl. Sci. Mém. Collect. 8, 16 (1936).
N. Kemmer, Proc. R. Soc. A 166, 127 (1938).
R. J. Duffin, Phys. Rev. 54, 1114 (1938).
N. Kemmer, Proc. R. Soc. A 173, 91 (1939).
B. C. Clark, S. Hama, G. R. Kälbermann, R. L. Mercer, and L. Ray, Phys. Rev. Lett. 55, 592 (1985).
G. Kalbermann, Phys. Rev. C 34, 2240 (1986).
R. E. Kozack, B. C. Clark, S. Hama, V. K. Mishra, G. Kalbermann, R. L. Mercer, and L. Ray, Phys. Rev. C 37, 2898 (1988).
R. E. Kozack, Phys. Rev. C 40, 2181 (1989).
V. K. Mishra, S. Hama, B. C. Clark, R. E. Kozack, R. L. Mercer, and L. Ray, Phys. Rev. C 43, 801 (1991).
B. C. Clark, R. J. Furnstahl, L. K. Kerr, J. Rusnak, and S. Hama, Phys. Lett. B 427, 231–234 (1998).
Y. Nedjadi and R. C. Barrett, J. Phys. G: Nucl. Part. Phys. 19, 87–98 (1993).
Y. Nedjadi, S. Ait-Tahar, and R. C. Barrett, J. Phys. A: Math. Gen. 31, 3867–3874 (1998).
A. Boumali, J. Math. Phys. 49, 022302 (2008).
I. Boztosun, M. Karakoc, and A. Durmus, J. Math. Phys. 47, 062301 (2006).
B. Boutabia-Cheraitia and T. Boudjedaa, Phys. Lett. A 338, 97–107 (2005).
M. Merad, Int. J. Theor. Phys. 46, 8 (2007).
Y. Chargui, A. Trabelsi, and L. Chetouani, Phys. Lett. A 374, 2907–2913 (2010).
K. Sogut and A. Havare, J. Phys. A: Math. Theor. 43, 225204 (2010).
F. Yaşuk, C. Berkdemir, A. Berkdemir, and C. Önem, Phys. Scr. 71, 340 (2005).
S. A. Fulling, Aspects of Quantum Fields in Curved Space (Cambridge Univ. Press, Cambridge, 1982).
G. S. Agarwal and S. A. Kumar, Phys. Rev. Lett. 67, 3665–3668 (1991).
H. P. Yuen, Phys. Rev. A 13, 2226–2243 (1976).
L. S. Brown, Phys. Rev. Lett. 66, 527–529 (1991).
W. Paul, Rev. Mod. Phys. 62, 531–540 (1998).
M. Feng, K. Wang, J. Wu, and L. Shi, Phys. Lett. A 51, 230 (1997).
X. F. Wang, P. Vasilopoulos, and F. M. Peeters, Phys. Rev. B 65, 165217 (2002).
M. Maamache and H. Bekkar, J. Phys. A 36, L359 (2003).
M. Maamache and H. Choutri, J. Phys. A 33, 6203 (2000).
H. G. Oh, H. R. Lee, T. F. George, and C. I. Um, Phys. Rev. A 39, 5515–5522 (1989).
H. R. Lewis and W. B. Rienesfeld, J. Math. Phys. 10, 1458 (1969).
I. Guedes, Phys. Rev. A 68, 016102 (2003).
S. Dey and A. Fring, Phys. Rev. D: Part. Fields 90, 084005 (2014).
B. Khantoul and A. Fring, arXiv:1505.02087v1.
M. Merad and S. Bensaid, J. Math. Phys. 48, 073515 (2007).
H. Sobhani and H. Hassanabadi, Commun. Theor. Phys. 64, 263–268 (2015).
J. Wei and E. Norman, J. Math. Phys. 4, 575 (1963).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Sobhani, H., Hassanabadi, H. Investigation of relativistic bosons in the presence of two-dimensional time-dependent harmonic interaction. Phys. Part. Nuclei Lett. 14, 83–86 (2017). https://doi.org/10.1134/S1547477116060078
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1547477116060078