@article{TMF_2011_168_1_a6,
author = {M. Gianfreda and G. Landolfi},
title = {Wave packets and statistics concerned with {SUSY-QM} partners {of~Paul} trap {Hamiltonians}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {80--97},
year = {2011},
volume = {168},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a6/}
}
TY - JOUR AU - M. Gianfreda AU - G. Landolfi TI - Wave packets and statistics concerned with SUSY-QM partners of Paul trap Hamiltonians JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2011 SP - 80 EP - 97 VL - 168 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a6/ LA - ru ID - TMF_2011_168_1_a6 ER -
M. Gianfreda; G. Landolfi. Wave packets and statistics concerned with SUSY-QM partners of Paul trap Hamiltonians. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 80-97. http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a6/
[1] G. Darboux, C. R. Acad. Sci. Paris, 94 (1882), 1456–1459 | Zbl
[2] C. Gu, H. Hu, Z. Zhou, Darboux Transformations in Integrable Systems. Theory and their Applications to Geometry, Math. Phys. Stud., 26, Springer, Dordrecht, 2005 ; V. B. Matveev, M. A. Salle, Darboux Transformations and Solitons, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1991 | MR | Zbl | DOI | MR | Zbl
[3] L. Infeld, T. E. Hull, Rev. Modern Phys., 23:1 (1951), 21–68 | DOI | MR | Zbl
[4] S.-H. Dong, Factorization Method in Quantum Mechanics, Fund. Theories Phys., 150, Springer, Dordrecht, 2007 | MR | Zbl
[5] E. Witten, Nucl. Phys. B, 188:3 (1981), 513–554 | DOI | MR | Zbl
[6] M. M. Nieto, Phys. Lett. B, 145:3–4 (1984), 208–210 ; C. V. Sukumar, J. Phys. A, 18:2 (1985), L57–L61 ; P. B. Abraham, H. E. Moses, Phys. Rev. A, 22:4 (1980), 1333–1340 ; M. Singh, J. Phys. A, 23:12 (1990), 2307–2313 ; G. Dunne, J. Feinberg, Phys. Rev. D, 57:2 (1998), 1271–1276, arXiv: ; А. А. Андрианов, Н. В. Борисов, М. В. Иоффе, ТМФ, 61:2 (1984), 183–198 ; A. A. Andrianov, M. V. Ioffe, V. P. Spiridonov, Phys. Lett. A, 174:4 (1993), 273–279, arXiv: ; B. Mielnik, O. Rosas-Ortiz, J. Phys. A, 37:43 (2004), 10007–10035 ; F. Cooper, A. Khare, U. Sukhatme, Phys. Rep., 251:5–6 (1995), 267–385, arXiv: hep-th/9706012hep-th/9303005hep-th/9405029 | DOI | MR | DOI | MR | Zbl | DOI | MR | DOI | MR | Zbl | DOI | MR | DOI | MR | DOI | MR | DOI | MR | Zbl | DOI | MR
[7] D. L. Pursey, Phys. Rev. D, 33:4 (1986), 1048–1055 ; 8, 2267–2279 | DOI | MR | DOI | MR
[8] D. J. Fernández C., V. Hussin, L. M. Nieto, J. Phys. A, 27:10 (1994), 3547–3564 ; D. J. Fernández C., L. M. Nieto, O. Rosas-Ortiz, J. Phys. A, 28:9 (1995), 2693–2708, arXiv: hep-th/9501035 | DOI | MR | Zbl | DOI | MR | Zbl
[9] B. Mielnik, J. Math. Phys., 25:12 (1984), 3387–3389 | DOI | MR | Zbl
[10] J. M. Fellows, R. A. Smith, J. Phys. A, 42:33 (2009), 335303, 13 pp. | DOI | MR | Zbl
[11] J. F. Cariñena, A. M. Perelomov, M. F. Rañada, M. Santander, J. Phys. A, 41:8 (2008), 085301, 10 pp., arXiv: 0711.4899 | DOI | MR | Zbl
[12] M. L. Glasser, L. M. Nieto, B. F. Samsonov, J. Phys. A, 36:46 (2003), L585–L591 | DOI | MR | Zbl
[13] A. A. Andrianov, F. Cannata, J. Phys. A, 37:43 (2004), 10297–10321, arXiv: ; C. D. J. Fernández, N. Fernández-García, “Higher-order supersymmetric quantum mechanics”, Latin-American School of Physics – XXXV ELAF, AIP Conf. Proc., 744, eds. R. Bijker, O. Castaños, L. Urrutia, D. Fernández, H. Morales-Técotl C. Villarreal, AIP, Melville, NY, 2005, 236–273, arXiv: ; S. P. Maydanyuk, Double complex SUSY-transformations: deformations of real potentials and their spectral characteristics, arXiv: hep-th/0407077quant-ph/05020980710.4062 | DOI | MR | Zbl | DOI | MR
[14] H. R. Lewis, Jr. W. B. Riesenfeld, J. Math. Phys., 10:8 (1969), 1458–1473 | DOI | MR | Zbl
[15] V. G. Bagrov, B. F. Samsonov, J. Phys. A, 29:5 (1996), 1011–1023 ; В. Г. Багров, Б. Ф. Самсонов, ЖЭТФ, 109:4 (1996), 1105–1117 ; ЭЧАЯ, 28:4 (1997), 951–1012 | DOI | MR | Zbl | DOI | MR
[16] A. Mostafazadeh, J. Phys. A, 31:38 (1998), 7829–7845, arXiv: ; A. A. Suzko, Phys. Lett. A, 308:4 (2003), 267–279 ; A. A. Сузько, Г. Гиоргадзе, ЭЧАЯ, 39:4 (2008), 1114–1149 ; A. A. Suzko, A. Schulze-Halberg, J. Phys. A, 42:29 (2009), 295203, 14 pp. ; D.-Y. Song, J. R. Klauder, J. Phys. A, 36:32 (2003), 8673–8684, arXiv: quant-ph/9807003quant-ph/0305174 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | DOI | MR | Zbl | DOI | MR | Zbl
[17] G. Profilo, G. Soliana, Phys. Rev. A, 44:3 (1991), 2057–2065 | DOI | MR
[18] G. Schrade, V. I. Man'koff, W. P. Schleich, R. J. Glauber, Quantum Semiclass. Opt., 7:3 (1995), 307–325 | DOI
[19] P. Aniello, V. Man'ko, G. Marmo, S. Solimeno, F. Zaccaria, J. Opt. B, 2:6 (2000), 718–725 ; V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, F. Zaccaria, Phys. Scr., 55:5 (1997), 528–541 ; V. I. Man'ko, G. Marmo, A. Porzio, S. Solimeno, F. Zaccaria, Phys. Rev. A, 62:5 (2000), 053407, 13 pp., arXiv: quant-ph/0003125 | DOI | MR | DOI | DOI
[20] G. Landolfi, G. Ruggeri, G. Soliani, Int. J. Quant. Inf., 2:4 (2004), 529–540 | DOI | Zbl