Chin. Phys. Lett.  2007, Vol. 24 Issue (11): 3024-3027    DOI:
Original Articles |
A Search on Dirac Equation
M. Kocak;B. Gonül
Department of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310 Gaziantep, Turkey
Cite this article:   
M. Kocak, B. Gonül 2007 Chin. Phys. Lett. 24 3024-3027
Download: PDF(217KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The solutions, in terms of orthogonal polynomials, of Dirac equation with analytically solvable potentials are investigated within a novel formalism by transforming the relativistic equation into a Schrodinger-like one. Earlier results are discussed in a unified framework, and some solutions of a large class of potentials are given.
Keywords: 03.65.Fd     
Received: 14 June 2007      Published: 23 October 2007
PACS:  03.65.Fd (Algebraic methods)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I11/03024
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
M. Kocak
B. Gonül
[1] Gonul B, Koksal K 2006 Physica Scripta 73 629 Gonul B, Koksal K and Bak{\ir E 2006 PhysicaScripta 73 279 Gonul B 2006 Chin. Phys. Lett. 23 2640 Ko\c{cak M 2007 Chin. Phys. Lett. 24 315
[2] Nikiforov A F and Uvarov V B 1988 Special Functions ofMathematical Physics (Basle: Birkhauser) Levai G 1989 J. Phys. A 22 689
[3] Greiner W 2000 Relativistic Quantum Mechanics 3rd edn(Berlin: Springer) Bjorken J D and Drell S D 1964 Relativistic QuantumMechanics (New York: McGraw-Hill)
[4] Alhaidari A D 2001 Phys. Rev. Lett. 87 210405 Alhaidari A D 2001 J. Phys. A 34 9827
[5] Su R K, Ma Z Q 1986 J. Phys. A 19 1739
[6] de Castro A S 2002 J. Phys. A 35 6203Vaidya A N and Rodrigues R L (hep-th/0203067)
[7] Dabrowska J W, Khare A and Sukhatme U 1988 J. Phys.A 21 L195
Related articles from Frontiers Journals
[1] LIAN Jin-Ling, ZHANG Yuan-Wei, LIANG Jiu-Qing. Macroscopic Quantum States and Quantum Phase Transition in the Dicke Model[J]. Chin. Phys. Lett., 2012, 29(6): 3024-3027
[2] Hassanabadi Hassan, Yazarloo Bentol Hoda, LU Liang-Liang. Approximate Analytical Solutions to the Generalized Pöschl–Teller Potential in D Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 3024-3027
[3] LIN Bing-Sheng**, HENG Tai-Hua . Energy Spectra of the Harmonic Oscillator in a Generalized Noncommutative Phase Space of Arbitrary Dimension[J]. Chin. Phys. Lett., 2011, 28(7): 3024-3027
[4] ZHANG Min-Cang**, HUANG-FU Guo-Qing . Analytical Approximation to the -Wave Solutions of the Hulthén Potential in Tridiagonal Representation[J]. Chin. Phys. Lett., 2011, 28(5): 3024-3027
[5] O. Bayrak**, A. Soylu, I. Boztosun . Effect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues[J]. Chin. Phys. Lett., 2011, 28(4): 3024-3027
[6] ZHA Xin-Wei**, MA Gang-Long . Classification of Four-Qubit States by Means of a Stochastic Local Operation and the Classical Communication Invariant[J]. Chin. Phys. Lett., 2011, 28(2): 3024-3027
[7] D. Agboola. Solutions to the Modified Pöschl-Teller Potential in D-Dimensions[J]. Chin. Phys. Lett., 2010, 27(4): 3024-3027
[8] WANG Xue-Hong, LIU Yu-Bin. Realizing the Underlying Quantum Dynamical Algebra SU(2) in Morse Potential[J]. Chin. Phys. Lett., 2010, 27(2): 3024-3027
[9] ZHANG Min-Cang**, AN Bo . Analytical Solutions of the Manning-Rosen Potential In the Tridiagonal Program[J]. Chin. Phys. Lett., 2010, 27(11): 3024-3027
[10] Srinivasa Rao Karumuri. Vibrational Spectra of Distorted Structure Molecules by Using Lie Algebraic Techniques: an Application to Copper and Magnesium Octaethyl Porphyrin[J]. Chin. Phys. Lett., 2010, 27(10): 3024-3027
[11] Srinivasa Rao KARUMURI, Joydeep CHOUDHURY, Nirmal Kumar SARKAR, Ramendu BHATTACHARJEE. Vibrational Spectroscopy of Stretching and Bending Modes of Nickel Tetraphenyl Porphyrin: an Algebraic Approach[J]. Chin. Phys. Lett., 2009, 26(9): 3024-3027
[12] L. Krache, M. Maamache, Y. Saadi, A. Beniaiche. Generalized Coherent States of a Particle in a Time-Dependent Linear Potential[J]. Chin. Phys. Lett., 2009, 26(7): 3024-3027
[13] Joydeep Choudhury, Nirmal Kumar Sarkar, Srinivasa Rao Karumuri, Ramendu Bhattacharjee. Vibrational Spectroscopy of CH/CD Stretches in Propadiene: An Algebraic Approach[J]. Chin. Phys. Lett., 2009, 26(2): 3024-3027
[14] Eser Olgar. An Alternative Method for Calculating Bound-State of Energy Eigenvalues of Klein-Gordon for Quasi-exactly Solvable Potentials[J]. Chin. Phys. Lett., 2009, 26(2): 3024-3027
[15] CHEN Wei, HE Yan, GUO Hao. Quantum Correlation Coefficients for Angular Coherent States[J]. Chin. Phys. Lett., 2009, 26(10): 3024-3027
Viewed
Full text


Abstract