JMP  Vol.3 No.1 , January 2012
Phase Shift between Supersymmetric Partner Potentials
ABSTRACT
The relationship between phase shifts produced by two supersymmetric (SUSY) partner potentials has been examined critically. Phase shifts produced by two SUSY partner potentials bear a simple relation irrespective of being shape invariant potential (SIP) or not (non-SIP). In general, the phase shift cannot be obtained algebraically, even for standard SIPs except the Coulomb potential.

Cite this paper
S. Mahapatra, "Phase Shift between Supersymmetric Partner Potentials," Journal of Modern Physics, Vol. 3 No. 1, 2012, pp. 74-79. doi: 10.4236/jmp.2012.31011.
References
[1]   E. Witten, “Dynamical Breaking of Supersymmetry,” Nuclear Physics B, Vol. 188, No. 3, 1981, pp. 513-554. doi:10.1016/0550-3213(81)90006-7

[2]   F. Cooper and B. Freedman, “Aspects of Supersymmetric Quantum Mechanics,” Annals of Physics, Vol. 146, No. 2, 1983, pp. 262-288. doi:10.1016/0003-4916(83)90034-9

[3]   Y. A. Gel’fand and E. P. Likhtman, “Extension of the Algebra of Poincare Group Generators and Violation of P Invariance,” JETP Letters, Vol. 13, 1971, p. 323.

[4]   F. Cooper, A. Khare and U. Sukhatme, “Supersymmetry and Quantum Mechanics,” Physics Reports, Vol. 251, No. 5-6, 1995, pp. 267-385. doi:10.1016/0370-1573(94)00080-M

[5]   C. V. Sukumar, “Supersymmetric Quantum Mechanics and the Inverse Scattering Method,” Journal of Physics A, Vol. 18, No. 15, 1985, p. 2937. doi:10.1088/0305-4470/18/15/021

[6]   J. J. Sakurai, “Modern Quantum Mechanics,” Addison- Wesley, Boston, 2000.

[7]   S. Mahapatra and T. K. Das, “On the Algebraic Derivation of Phase Shifts for Shape Invariant Potentials,” Modern Physics Letters A, Vol. 26, No. 23, 2011, pp. 1753-1761. doi:10.1142/S0217732311036061

[8]   E. Witten, “Dynamical Breaking of Supersymmetry,” Nuclear Physics B, Vol. 188, No. 3, 1981, pp. 513-554. doi:10.1016/0550-3213(81)90006-7

[9]   F. Cooper and B. Freedman, “Aspects of Supersymmetric Quantum Mechanics,” Annals of Physics, Vol. 146, No. 2, 1983, pp. 262-288. doi:10.1016/0003-4916(83)90034-9

[10]   Y. A. Gel’fand and E. P. Likhtman, “Extension of the Algebra of Poincare Group Generators and Violation of P Invariance,” JETP Letters, Vol. 13, 1971, p. 323.

[11]   F. Cooper, A. Khare and U. Sukhatme, “Supersymmetry and Quantum Mechanics,” Physics Reports, Vol. 251, No. 5-6, 1995, pp. 267-385. doi:10.1016/0370-1573(94)00080-M

[12]   C. V. Sukumar, “Supersymmetric Quantum Mechanics and the Inverse Scattering Method,” Journal of Physics A, Vol. 18, No. 15, 1985, p. 2937. doi:10.1088/0305-4470/18/15/021

[13]   J. J. Sakurai, “Modern Quantum Mechanics,” Addison- Wesley, Boston, 2000.

[14]   S. Mahapatra and T. K. Das, “On the Algebraic Derivation of Phase Shifts for Shape Invariant Potentials,” Modern Physics Letters A, Vol. 26, No. 23, 2011, pp. 1753-1761. doi:10.1142/S0217732311036061

 
 
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