SUSY transformation of the Green function and a trace formula
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Publication:5693434
DOI10.1088/0305-4470/38/34/009zbMath1073.81044arXivquant-ph/0507160OpenAlexW1992950335MaRDI QIDQ5693434
C. V. Sukumar, Boris F. Samsonov, Andrey M. Pupasov
Publication date: 26 September 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0507160
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15)
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DARBOUX TRANSFORMATION OF THE GREEN FUNCTION FOR THE DIRAC EQUATION WITH THE GENERAL POTENTIAL ⋮ TRACE FORMULA FOR GREEN'S FUNCTIONS OF EFFECTIVE MASS SCHRÖDINGER EQUATIONS AND NTH-ORDER DARBOUX TRANSFORMATIONS ⋮ PROPAGATORS OF GENERALIZED SCHRÖDINGER EQUATIONS RELATED BY HIGHER-ORDER SUPERSYMMETRY ⋮ Propagators of isochronous an-harmonic oscillators and Mehler formula for the exceptional Hermite polynomials ⋮ Green’s functions and trace formulas for generalized Sturm–Liouville problems related by Darboux transformations
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