Theoretical Physics
Solving the Schrödinger Equation with Hartmann Potential by Factorization Method and Supersymmetry
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Author(s)
- H.Rahbar*
University of Mazandaran ,Department of Physics, Faculty of science - J.Sadeghi
University of Mazandaran ,Department of Physics, Faculty of science
Abstract
Keywords
References
[1] C Y Chen, C L Liu and D S Sun, The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values, Phys. Lett. A 305 341 (2002)
[2] M Kible and P Wintermitz, Dynamical invariance algebra of the Hartmann potential, J.Phys.A: Math. Gen 20 4097 (1987)
[3] H Hartmann and D Schuch, Spin-orbit coupling for the motion of a particle in a ring-shaped potential, Int. J. Quantum Chem 18 125 (1980)
[4] C Quesne, A new ring-shaped potential and its dynamical invariance algebra, J. Phys. A: Math. Gen 21 3093 (1988)
[5] A Kratzer, An ultraround rotation spectra of the hydrogen halides, Z. Phys 3 289 (1920)
[6] J Pliva, A closed rovibrational energy formula based on a modified Kratzer potential, J. Mol. Spectrosc 193 7 (1999)
[7] C Berkdemir, A Berkdemir and J G Han, Bound state solutions of the Schr?dinger equation for modified Kratzer molecular potential, Chem. Phys. Lett 417 326 (2006)
[8] C Y Chen and S H Dong, Exactly complete solutions of the Coulomb potential plus a new ring - shaped potential, Phys. Lett. A 335 374 (2005)
[9] E Witten, Dynamical breaking of supersymmetry, Nucl. Phys. B 188 513 (1981)
[10] E Witten, Constraints on supersymmetry breaking, Nucl. Phys. B 202 253 (1982)
[11] F Cooper and B Freedman, Aspects of supersymmetric quantum mechanics, Ann. Phys. (N.Y.) 146 262 (1983)
[12] F Cooper, A Khare and U Sukhatme, Supersymmetry and quantum mechanics, Phys. Rep 251 267 (1995)
[13] F Cooper, A Khare and U Sukhatme, Supersymmetry in quantum mechanics, (Singapore .World Scientific) (2001)
[14] M A Jafarizadeh and H Fakhri, Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics, Ann, Phys. (N.Y.) 262 260 (1998)
[15] J Sadeghi, Superalgebras for three interacting particles in an external magnetic field, Eur. Phys. J. B 50 453 (2006)
[16] H Fakhri and J Sadeghi, Supersymmetry approaches to the bound states of the generalized Woods - Saxon potential, Mod. Phys. Lett. A 19 615 (2004)
[17] J Sadeghi and B Pourhassan, Exact solution of the non-central modified Kratzer potential plus a ring - shaped like potential by the factorization method, EJTP 5, No. 17 197 (2008)
[18] J Sadeghi, Factorization method and solution of the noncentral modified kratzer potential, ACTA Physica Polonica A 112, No. 1 23(2007)