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Journal
Open Physics
2008
|
6
|
1
| 153-157
Article title
Supersymmetry of time-dependent Schrödinger equations with effective mass
Authors
Axel Schulze-Halberg
Content
Full texts:
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Languages of publication
EN
Abstracts
EN
We establish the supersymmetry formalism for time-dependent Schrödinger equations with effective mass and show that the corresponding supersymmetric transformations are equivalent to effective mass Darboux transformations
Keywords
EN
Darboux transformation
supersymmetry
time-dependent Schrödinger equation
effective mass
Discipline
03.65.Ge: Solutions of wave equations: bound states
03.65.Ca: Formalism
Publisher
De Gruyter Open
Journal
Open Physics
Year
2008
Volume
6
Issue
1
Pages
153-157
Physical description
Dates
published
1 - 3 - 2008
online
26 - 3 - 2008
Contributors
author
Axel Schulze-Halberg
xbat@ucol.mx
Department of Mathematics, University of Colima, Bernal Diaz del Castillo 340, Colima, Col., 28045, Mexico
References
[1] D.J. Arrigo, F. Hickling, J. Phys. A 36, 1615 (2003) http://dx.doi.org/10.1088/0305-4470/36/6/307[Crossref]
[2] B. Bagchi, A. Banerjee, C. Quesne, V.M. Tkachuk, J. Phys. A 38, 2929 (2005) http://dx.doi.org/10.1088/0305-4470/38/13/008[Crossref]
[3] V.G. Bagrov, B.F. Samsonov, Phys. Lett. A 210, 60 (1996) http://dx.doi.org/10.1016/0375-9601(95)00832-2[Crossref]
[4] V.G. Bagrov, B.F. Samsonov, L.A. Shekoyan, Russian Phys. J. 38, 706 (1995) http://dx.doi.org/10.1007/BF00560273[Crossref]
[5] D.J. Fernández, C.A. Ganguly, Ann. Phys. 322, 1143 (2007) http://dx.doi.org/10.1016/j.aop.2006.07.011[Crossref]
[6] D.J. Fernández, C.A. Ganguly, Phys. Lett. A 338, 203 (2005) http://dx.doi.org/10.1016/j.physleta.2005.03.011[Crossref]
[7] A. Ganguly, L.M. Nieto, J. Phys. A 40, 7265 (2007) http://dx.doi.org/10.1088/1751-8113/40/26/012[Crossref]
[8] B. Gönül, B. Gönül, D. Tutcu, O. Özer, Mod. Phys. Lett. A 17, 2057 (2002) http://dx.doi.org/10.1142/S0217732302008563[Crossref]
[9] L. Infeld, T.E. Hull, Rev. Mod. Phys. 23, 21 (1951) http://dx.doi.org/10.1103/RevModPhys.23.21[Crossref]
[10] G.T. Landsberg, Solid state theory: methods and applications (Wiley-Interscience, London, 1969)
[11] V.B. Matveev, M.A. Salle, Darboux transformations and solitons, (Springer-Verlag, Berlin, 1991)
[12] W.A. Schnizer, H. Leeb, J. Phys. A 26, 5145 (1993) http://dx.doi.org/10.1088/0305-4470/26/19/041[Crossref]
[13] A. Schulze-Halberg, Int. J. Mod. Phys. A 22, 1735 (2007) http://dx.doi.org/10.1142/S0217751X07035021[Crossref]
[14] A. Schulze-Halberg, Int. J. Mod. Phys. A 21, 4853 (2006) http://dx.doi.org/10.1142/S0217751X06032526[Crossref]
[15] A. Schulze-Halberg, Int. J. Mod. Phys. A 21, 1359 (2006) http://dx.doi.org/10.1142/S0217751X06025389[Crossref]
[16] A.G. Ushveridze, Quasi-exactly solvable models in quantum mechanics (Institute of Physics Publishing, London, 1994)
[17] K.C. Yung, J.H. Yee, Phys. Rev. A 50, 104 (1994) http://dx.doi.org/10.1103/PhysRevA.50.104[Crossref]
Document Type
Publication order reference
Identifiers
DOI
10.2478/s11534-008-0001-9
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0001-9
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