Supersymmetric generalized power functions
DOI10.1063/1.5144623zbMath1454.81098arXiv1905.07509OpenAlexW3039694558MaRDI QIDQ5140957
Mathieu Ouellet, Sébastien Tremblay
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07509
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Supersymmetry and quantum mechanics (81Q60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
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Cites Work
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- On Sturm-Liouville equations with several spectral parameters
- Spectral parameter power series for Sturm-Liouville equations on time scales
- Dynamical breaking of supersymmetry
- Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems
- Spectral parameter power series representation for Hill's discriminant
- On the completeness of systems of recursive integrals
- Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems
- Spectral parameter power series for perturbed Bessel equations
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions
- Spectral parameter power series for fourth-order Sturm-Liouville problems
- Application of the SPPS method to the one-dimensional quantum scattering
- The heat transfer problem for inhomogeneous materials in photoacoustic applications and spectral parameter power series
- On two-dimensional supersymmetric quantum mechanics, pseudoanalytic functions and transmutation operators
- Complete systems of recursive integrals and Taylor series for solutions of Sturm-Liouville equations
- Eigenvalue problems, spectral parameter power series, and modern applications
- Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean
- Spectral parameter power series method for discontinuous coefficients
- A representation for solutions of the Sturm–Liouville equation
- Iterated path integrals
- A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations
- Transmutations and Spectral Parameter Power Series in Eigenvalue Problems
- Optimal pricing barriers in a regulated market using reflected diffusion processes
- Spectral parameter power series for Sturm–Liouville problems
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