Spinless relativistic particle in energy-dependent potential and normalization of the wave function

• Autorzy: Amar Benchikha , Lyazid Chetouani
• Języki publikacji: EN

Abstrakty

EN

The problem of normalization related to a Klein-Gordon particle subjected to vector plus scalar energy-dependent potentials is clarified in the context of the path integral approach. In addition the correction relating to the normalizing constant of wave functions is exactly determined. As examples, the energy dependent linear and Coulomb potentials are considered. The wave functions obtained via spectral decomposition, were found exactly normalized.

Słowa kluczowe

EN

energy-dependent; path integral; Klein-Gordon; Green function

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 6
• Strony: 392-405

Daty

wydano

2014-06-01

online

2014-05-31

Twórcy

autor

Amar Benchikha

• Département de Physique, Faculté des sciences exactes, Université Constantine 1, Constantine, Algeria

autor

Lyazid Chetouani

• Département de Physique, Faculté des sciences exactes, Université Constantine 1, Constantine, Algeria,

Bibliografia

• [1] J. Formanek, J. Mares, R. Lombard, Czech. J. Phys. 54, 289 (2004) http://dx.doi.org/10.1023/B:CJOP.0000018127.95600.a3[Crossref]
• [2] J. Garcia-Martinez, J. Garcia-Ravelo, J. J. Pena, A. Schulze-Halberg, Phys. Lett. A 373, 3619 (2009) http://dx.doi.org/10.1016/j.physleta.2009.08.012[Crossref]
• [3] R. Lombard, An-Najah Univ. J. Res. (N. Sc.) 25, 49 (2011)
• [4] H. Hassanabadi, S. Zarrinkamar, A. A. Rajabi, Commun. Theor. Phys. 55, 541 (2011) http://dx.doi.org/10.1088/0253-6102/55/4/01[Crossref]
• [5] R. J. Lombard, J. Mares, Phys. Lett. A 373, 426 (2009) http://dx.doi.org/10.1016/j.physleta.2008.12.009[Crossref]
• [6] R. Yekken, R. J. Lombard, J. Phys. A: Math. Theor. 43, 125301 (2010) http://dx.doi.org/10.1088/1751-8113/43/12/125301[Crossref]
• [7] A. Schulze-Halberg, Cent. Eur. J. Phys. 9, 57 (2011) http://dx.doi.org/10.2478/s11534-010-0034-8[Crossref]
• [8] R. J. Lombard, J. Mares, C. Volpe, arXiv:0411067v1[hep-ph]
• [9] A. Benchikha, L. Chetouani, Mod. Phys. Lett. A 28, 1350079 (2013) http://dx.doi.org/10.1142/S021773231350079X[Crossref]
• [10] J. Lin, Y. S. Li, X. M. Qian, Phys. Lett. A 362, 212 (2007) http://dx.doi.org/10.1016/j.physleta.2006.10.016[Crossref]
• [11] A. A. Nabiev, Inverse Probl. 22, 2055 (2006) http://dx.doi.org/10.1088/0266-5611/22/6/009[Crossref]
• [12] C. F. Yang, J. Math. Anal. Appl. 393, 526 (2012) http://dx.doi.org/10.1016/j.jmaa.2012.03.003[Crossref]
• [13] M. Znojil, arXiv:0403223v2 [quant-ph]
• [14] H. Hassanabadi, S. Zarrinkamar, H. Hamzavi, A. A. Rajabi, Arab. J. Sci. Eng. 37, 209 (2012) http://dx.doi.org/10.1007/s13369-011-0168-z[Crossref]
• [15] M. Hamzavi, S. M. Ikhdair, arXiv:1205.2191 [nucl-th]
• [16] L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981)
• [17] D. J. Griffiths: Introduction to Quantum Mechanics (Prentice Hall, Englewood Cliffs, NJ, 1995)
• [18] C. Grosche, F. Steiner, Handbook of Feynman Path Integrals, Springer Tracts in Modern Physics, Vol. 145 (Springer, Berlin, Heidelberg, 1998)
• [19] I. S. Gradshteyn, I. M. Ryzhik, In: A. Jeffrey, D. Zwillinger (Eds.), Table of Integrals, Series, and Products (Academic Press, New York, 2007)
• [20] C. Grosche, J. Phys. A: Math. Gen. 29, 365 (1996) http://dx.doi.org/10.1088/0305-4470/29/2/017[Crossref]
• [21] V. S. Olkhovsky, S. P. Maydanyuk, E. Recami, Phys. Part. Nucl. 41, 508 (2010) http://dx.doi.org/10.1134/S1063779610040027[Crossref]

Identyfikatory

DOI

10.2478/s11534-014-0457-8