Research PapersNo Access

PROPAGATORS OF GENERALIZED SCHRÖDINGER EQUATIONS RELATED BY HIGHER-ORDER SUPERSYMMETRY

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow 119991, Russian Federation, Russia

Search for more papers by this author

and

AXEL SCHULZE-HALBERG

Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408, USA

Search for more papers by this author

https://doi.org/10.1142/S0217751X11051457Cited by:0 (Source: Crossref)

Abstract

We construct explicit integral relations between propagators of generalized Schrödinger equations that are linked by higher-order supersymmetry. Our results complement and extend the findings obtained in J. Phys. A40, 10557 (2007) for the conventional Schrödinger equation.

Keywords:

PACS: 03.65.Ge, 03.65.Ca

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

D. J. Arrigo and F. Hickling, J. Phys. A 36, 1615 (2003), DOI: 10.1088/0305-4470/36/6/307. Crossref, ADS, Google Scholar
V. G. Bagrov and B. F. Samsonov, Theor. Math. Phys. 104, 1051 (1995), DOI: 10.1007/BF02065985. Crossref, Web of Science, Google Scholar
F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 251, 267 (1995), DOI: 10.1016/0370-1573(94)00080-M. Crossref, ADS, Google Scholar
M. G. Darboux, Comptes Rendus Acad. Sci. Paris 94, 1456 (1882). Google Scholar
D. G. Duffy , Green's Functions with Applications ( Chapmann and Hall , New York , 2001 ) . Crossref, Google Scholar
L. Infeld and T. E. Hull, Rev. Mod. Phys. 23, 21 (1951), DOI: 10.1103/RevModPhys.23.21. Crossref, Web of Science, ADS, Google Scholar
G. Junker , Supersymmetric Methods in Quantum and Statistical Physics ( Springer , Berlin , 1995 ) . Google Scholar
E. Kamke , Differentialgleichungen — Lösungsmethoden und Lösungen ( B. G. Teubner , Stuttgart , 1983 ) . Google Scholar
A. M. Pupasov, B. F. Samsonov and U. Günther, J. Phys. A 40, 10557 (2007), DOI: 10.1088/1751-8113/40/34/013. Crossref, Google Scholar
B. F. Samsonov, C. V. Sukumar and A. M. Pupasov, J. Phys. A 38, 7557 (2005), DOI: 10.1088/0305-4470/38/34/009. Crossref, ADS, Google Scholar
A. Schulze-Halberg, Propagators of generalized Schrödinger equations related by first-order supersymmetry, preprint (2010) . Google Scholar
A. Schulze-Halberg, J. Math. Phys. 51, 053501 (2010), DOI: 10.1063/1.3407605. Crossref, Web of Science, Google Scholar
C. V. Sukumar, J. Phys. A 37, 10287 (2004), DOI: 10.1088/0305-4470/37/43/018. Crossref, Google Scholar
A. A. Suzko and A. Schulze-Halberg, J. Phys. A 42, 295203 (2009), DOI: 10.1088/1751-8113/42/29/295203. Crossref, Google Scholar
A. G. Ushveridze , Quasi-exactly Solvable Models in Quantum Mechanics ( Taylor and Francis Group , New York , 1994 ) . Google Scholar