JMP  Vol.4 No.8 , August 2013
Dynamics of Particle in Confined-Harmonic Potential in External Static Electric Field and Strong Laser Field
ABSTRACT

Dynamics of a particle in confined-harmonic potential, subjected to external static electric and time-dependent laser fields is studied. The energy levels and wave functions of unperturbed harmonic oscillator are evaluated using B-polynomial Galerkin method. Matrix formulation is used throughout the procedure. This procedure is very simple and efficient in comparison with other methods. Modifications of wave functions and energy levels due to static electric field are also calculated. Finally, absorption spectra of such a driven oscillator are studied and explained.


Cite this paper
S. Lumb, S. Lumb and V. Prasad, "Dynamics of Particle in Confined-Harmonic Potential in External Static Electric Field and Strong Laser Field," Journal of Modern Physics, Vol. 4 No. 8, 2013, pp. 1139-1148. doi: 10.4236/jmp.2013.48153.
References
[1]   F. Büyükilic, D. Demirhan and S. F. Ozeren, Chemical Physics Letters, Vol. 194, 1992, pp. 9-12. doi:10.1016/0009-2614(92)85734-R

[2]   S. Ikhdair and R. Sever, Journal of Molecular Structure: Theochem, Vol. 806, 2007, pp. 155-158. doi:10.1016/j.theochem.2006.11.019

[3]   S.-H. Dong and Z.-Q. Ma, International Journal of Modern Physics E, Vol. 11, 2002, pp. 155-160. doi:10.1142/S0218301302000752

[4]   L.-Y. Wang, X.-Y. Gu, Z.-Q. Ma and S.-H. Dong, Foundations of Physics Letters, Vol. 15, 2002, pp. 569-576. doi:10.1023/A:1023937704158

[5]   A. Messiah, “Quantum Mechanics,” Elsevier, North-Holland, Amsterdam, 1962.

[6]   S. Moroz, Physical Review A, Vol. 86, 2012, Article ID: 011601. doi:10.1103/PhysRevA.86.011601

[7]   R. Riera, J. L. Marín and R. A. Rosas, “Optical Properties and Impurity States in Nanostructured Materials,” In: H. S. Nalwa, Ed., Handbook of Advanced Electronic and Photonic Materials and Devices, Vol. 6: Nanostructured Materials, Academic Press, San Diego, 2001, Chapter 6.

[8]   L. Lu, W. Xie and H. Hassanabadi, Journal of Applied Physics, Vol. 109, 2011, Article ID: 063108. doi:10.1063/1.3560541

[9]   P. Sarkar, S. Adhikari and S. P. Bhattacharyya, Chemical Physics Letters, Vol. 227, 1994, pp. 187-193. doi:10.1016/0009-2614(94)00795-0

[10]   Z. Zhi-Yuan, Y. Tao and P. Xiao-Yin, Chinese Physics Letters, Vol. 29, 2012, Article ID: 010302. doi:10.1088/0256-307X/29/1/010302

[11]   S. M. Ikhdair and M. Hamzavi, Chinese Physics B, Vol. 21, 2012, Article ID: 110302. doi:10.1088/1674-1056/21/11/110302

[12]   I. Guedes, Physical Review A, Vol. 63, 2001, Article ID: 034102. doi:10.1103/PhysRevA.63.034102

[13]   G. Lu, W. Hai and L. Cai, Physics Letters A, Vol. 357, 2006, pp. 181-187. doi:10.1016/j.physleta.2006.04.047

[14]   K. Hai, W. Hai and Q. Chen, Physics Letters A, Vol. 367, 2007, pp. 445-449. doi:10.1016/j.physleta.2007.03.042

[15]   J. Garnier, Physical Review E, Vol. 60, 1999, pp. 3676-3687.

[16]   D. C. Khandekar and S. V. Lawande, Journal of Mathematical Physics, Vol. 16, 1975, pp. 384-388. doi:10.1063/1.522511

[17]   Mai-Lin Liang and Y. Jiang, Physics Letters A, Vol. 375, 2010, pp. 1-5. doi:10.1016/j.physleta.2010.10.035

[18]   C. A. S. Ferreira, P. T. S. Alencar, and J. M. F. Bassalo, Physical Review A, Vol. 66, 2002, Article ID: 024103. doi:10.1103/PhysRevA.66.024103

[19]   W. Liu and J. Wang, Journal of Physics A: Mathematical and Theoretical, Vol. 40, 2007, pp. 1057-1063. doi:10.1088/1751-8113/40/5/013

[20]   S. M. Ikhdair, Journal of Modern Physics, Vol. 3, 2012, pp. 170-179. doi:10.4236/jmp.2012.32023

[21]   O. Kidun and D. Bauer, Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 40, 2007, pp. 779-786. doi:10.1088/0953-4075/40/4/012

[22]   C. Liang, Z. Ping, Y. Tao and P. Xiao-Yin, Communications in Theoretical Physics, Vol. 55, 2011, pp. 565-568. doi:10.1088/0253-6102/55/4/06

[23]   J. F. P. Torres and J. L. S. Vicario, Revista Colombiana de Fisica, Vol. 41, 2009, pp. 381-384.

[24]   M. I. Bhatti, K. D. Coleman and W. F. Perger, Physical Review A, Vol. 68, 2003, Article ID: 044503. doi:10.1103/PhysRevA.68.044503

[25]   L. B. Zhao and P. C. Stancil, Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 40, 2007, pp. 4347-4354. doi:10.1088/0953-4075/40/22/004

[26]   J. Xi, L. Wu, X. He and B. Li, Physical Review A, Vol. 46, 1992, pp. 5806-5811.

[27]   M. I. Bhatti and W. F. Perger, Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 39, 2006, pp. 553-558. doi:10.1088/0953-4075/39/3/008

[28]   D. D. Bhatta and M. I. Bhatti, Applied Mathematics and Computation, Vol. 174, 2006, pp. 1255-1268. doi:10.1016/j.amc.2005.05.049

[29]   S. Lumb, S. Lumb and V. Prasad, Quantum Matter, Vol. 2, 2013, pp. 314-320.

[30]   A. Heidari, F. K. Jahromi, R. Amiri and M. Ghorbani, Journal of Modern Physics, Vol. 3, 2012, pp. 334-339. doi:10.4236/jmp.2012.34045

[31]   S. Ting-Yun, B. Cheng-Guang and L. Bai-Wen, Communications in Theoretical Physics, Vol. 35, 2001, pp. 195-200.

[32]   M. I. Bhatti, Advanced Studies in Theoretical Physics, Vol. 3, 2009, pp. 451-460.

[33]   J. Liu, Z. Zheng and Q. Xu, Journal of Applied Mathematics, Vol. 2012, Article ID: 859315. doi:10.1155/2012/859315

[34]   D. Bhatta, Applied Mathematics and Computation, Vol. 206, 2008, pp. 457-464. doi:10.1016/j.amc.2008.09.031

[35]   M. I. Bhatti and P. Bracken, Journal of Computational and Applied Mathematics, Vol. 205, 2007, pp. 272-280. doi:10.1016/j.cam.2006.05.002

[36]   Y. Ordokhani and S. Davaei Far, ISRN Applied Mathematics, Vol. 2011, Article ID” 787694. doi:10.5402/2011/787694

[37]   B. Sharma, V. Prasad and M. Mohan, The Journal of Chemical Physics, Vol. 89, 1988, pp. 1322-1326. doi:10.1063/1.455183

[38]   M. Mohan and V. Prasad, Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 24, 1991, pp. L81-L87.

[39]   U. Arya, B. Dahiya and V. Prasad, Journal of Modern Physics, Vol. 3, 2012, pp. 28-36. doi:10.4236/jmp.2012.31004

[40]   V. Prasad and B. Dahiya, Physica Status Solidi B, Vol. 248, 2011, pp. 1727-1734. doi:10.1002/pssb.201046582

[41]   B. R. Gelbaum, “Modern Real and Complex Analysis,” John Wiley and Sons, New York, 1995.

[42]   M. I. Bhatti and D. D. Bhatta, Physica Scripta, Vol. 73, 2006, pp. 539-544. doi:10.1088/0031-8949/73/6/004

[43]   B. Sharma, V. Prasad, K. L. Baluja and M. Mohan, Zeitschrift für Physik D, Vol. 27, 1993, pp. 65-71.

[44]   S. Chang and V. Minoginb, Physics Reports, Vol. 365, 2002, pp. 65-143.

[45]   J. H. Shirley, Physical Review, Vol. 138, 1965, pp. B979-B987.

[46]   N. Singhal, V. Prasad and M. Mohan, Pramana, Vol. 62, 2004, pp. 883-891.

[47]   E. C. Niculescua and L. M. Burileanu, The European Physical Journal B, Vol. 74, 2010, pp. 117-122. doi:10.1140/epjb/e2010-00060-3

 
 
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