×

zbMATH — the first resource for mathematics

Second order SUSY transformations with ‘complex energies’. (English) Zbl 1008.81027
Summary: Second order supersymmetry transformations which involve a pair of complex conjugate factorization energies and lead to real nonsingular potentials are analyzed. The generation of complex potentials with real spectra is also studied. The theory is applied to the free particle, one-soliton well and one-dimensional harmonic oscillator.

MSC:
81Q60 Supersymmetry and quantum mechanics
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] Andrianov, A.A.; Ioffe, M.V.; Spiridonov, V.P., Phys. lett. A, 174, 273, (1993)
[2] Bagrov, V.G.; Samsonov, B.F., Phys. part. nucl., 28, 374, (1997)
[3] Fernández, D.J.; Hussin, V.; Mielnik, B., Phys. lett. A, 244, 309, (1998) · Zbl 0941.81022
[4] Fernández, D.J.; Hussin, V., J. phys. A, 32, 3603, (1999)
[5] Cariñena, J.F.; Marmo, G.; Perelomov, A.M.; Rañada, M.F., Int. J. mod. phys. A, 13, 4913, (1998)
[6] Cariñena, J.F.; Ramos, A., Mod. phys. lett. A, 15, 1079, (2000)
[7] Cariñena, J.F.; Ramos, A., Rev. math. phys., 12, 1279, (2000)
[8] Andrianov, A.A.; Ioffe, M.V.; Cannata, F.; Dedonder, J.P., Int. J. mod. phys. A, 10, 2683, (1995)
[9] Andrianov, A.A.; Ioffe, M.V.; Nishnianidze, D.N., Phys. lett. A, 201, 103, (1995)
[10] Fernández, D.J., Int. J. mod. phys. A, 12, 171, (1997)
[11] Fernández, D.J.; Glasser, M.L.; Nieto, L.M., Phys. lett. A, 240, 15, (1998)
[12] Rosas-Ortiz, O.; Rosas-Ortiz, O., J. phys. A, J. phys. A, 31, L507, (1998)
[13] Mielnik, B.; Nieto, L.M.; Rosas-Ortiz, O., Phys. lett. A, 269, 70, (2000)
[14] Cariñena, J.F.; Ramos, A.; Fernández, D.J., Ann. phys. (N.Y.), 292, 42, (2001)
[15] Samsonov, B.F., Phys. lett. A, 263, 274, (1999)
[16] Fernández, D.J.; Negro, J.; Nieto, L.M., Phys. lett. A, 275, 338, (2000)
[17] Fernández, D.J.; Mielnik, B.; Rosas-Ortiz, O.; Samsonov, B.F., Phys. lett. A, 294, 168, (2002)
[18] Fernández, D.J.; Mielnik, B.; Rosas-Ortiz, O.; Samsonov, B.F., J. phys. A, 35, 4279, (2002)
[19] Bagrov, V.G.; Ovcharov, I.N.; Samsonov, B.F., J. Moscow phys. soc., 5, 191, (1995)
[20] Márquez, I.F.; Negro, J.; Nieto, L.M., J. phys. A, 31, 4115, (1998)
[21] Cannata, F.; Junker, G.; Trost, J., Phys. lett. A, 246, 219, (1998)
[22] Andrianov, A.A.; Ioffe, M.V.; Cannata, F.; Dedonder, J.P., Int. J. mod. phys. A, 14, 2675, (1999)
[23] Bagchi, B.; Mallik, S.; Quesne, C.; Bagchi, B.; Mallik, S.; Quesne, C., Int. J. mod. phys. A, Int. J. mod. phys. A, 17, 51, (2002)
[24] Bender, C.M.; Boettcher, S., Phys. rev. lett., 80, 5243, (1998)
[25] Mostafazadeh, A.; Mostafazadeh, A.; Mostafazadeh, A., J. math. phys., J. math. phys., J. math. phys., 43, 3944, (2002)
[26] Dı́az, J.I.; Negro, J.; Nieto, L.M.; Rosas-Ortiz, O., J. phys. A, 32, 8447, (1999)
[27] Dennery, P.; Krzywicki, A., Mathematics for physicists, (1996), Dover New York · Zbl 0156.46201
[28] ()
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.