TRACE FORMULA FOR GREEN'S FUNCTIONS OF EFFECTIVE MASS SCHRÖDINGER EQUATIONS AND NTH-ORDER DARBOUX TRANSFORMATIONS

DOI10.1142/S0217751X08039955zbMath1192.81132OpenAlexW2050159216MaRDI QIDQ3528816

Axel Schulze-Halberg, E. O. Pozdeeva

Publication date: 17 October 2008

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x08039955

zbMATH Keywords

Green's functiontrace formulaDarboux transformationeffective mass Schrödinger equations

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (1)

Green’s functions and trace formulas for generalized Sturm–Liouville problems related by Darboux transformations

Cites Work

• REALITY CONDITION FOR DARBOUX TRANSFORMATIONS OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS
• Annth-order Darboux transformation for the one-dimensional time-dependent Schr dinger equation
• Green's functions, sum rules and matrix elements for SUSY partners
• DARBOUX TRANSFORMATIONS FOR TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS
• SUSY transformation of the Green function and a trace formula

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