Cobiàn, Héctor; Schulze-Halberg, Axel Time-dependent Schrödinger equations with effective mass in \((2+1)\) dimensions: intertwining relations and Darboux operators. (English) Zbl 1222.81158 J. Phys. A, Math. Theor. 44, No. 28, Article ID 285301, 14 p. (2011). Summary: We construct Darboux transformations for time-dependent Schrödinger equations with position-dependent mass in \((2+1)\) dimensions. Several examples illustrate our results, which complement and generalize former findings for the constant mass case in two spatial variables [A. Schulze-Halberg, “Intertwining relations and Darboux transformations for Schrödinger equations in \((n+1)\) dimensions”, J. Math. Phys. 51, No. 3, Paper No. 033521 (2010)]. Cited in 4 Documents MSC: 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 35Q41 Time-dependent Schrödinger equations and Dirac equations 35Q05 Euler-Poisson-Darboux equations PDFBibTeX XMLCite \textit{H. Cobiàn} and \textit{A. Schulze-Halberg}, J. Phys. A, Math. Theor. 44, No. 28, Article ID 285301, 14 p. (2011; Zbl 1222.81158) Full Text: DOI