Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Natanson, Gregory"'
Autor:
Natanson, Gregory
Publikováno v:
Acta Polytechnica 62 (2022) 100-117
The paper advances the suggestion by Odake and Sasaki to re-write eigenfunctions of rationally deformed Morse potentials in terms of Wronskians of Laguerre polynomials in the reciprocal argument. It is shown that the constructed quasi-rational seed s
Externí odkaz:
http://arxiv.org/abs/2110.13913
Autor:
Natanson, Gregory1 (AUTHOR) greg_natanson@yahoo.com
Publikováno v:
Axioms (2075-1680). Apr2024, Vol. 13 Issue 4, p273. 24p.
Autor:
Natanson, Gregory1 (AUTHOR) greg_natanson@yahoo.com
Publikováno v:
Symmetry (20738994). Mar2024, Vol. 16 Issue 3, p282. 38p.
Autor:
Natanson, Gregory
The paper examines rational Darboux transformations (RDTs) of the Jacobi equation written in the canonical form, with emphasis on the Sturm-Liouville problems (SLPs) solved under the Dirichlet boundary conditions (DBCs) at the ends of the infinite in
Externí odkaz:
http://arxiv.org/abs/1801.10216
Autor:
Natanson, Gregory1 (AUTHOR) greg_natanson@yahoo.com
Publikováno v:
Axioms (2075-1680). Jun2023, Vol. 12 Issue 6, p584. 27p.
Autor:
Natanson, Gregory
The paper collates a complete list of nodeless regular almost-everywhere holomorphic (AEH) solutions for a subset of rational canonical Sturm-Liouville equations (RCSLEs) exactly quantized on a finite interval by classical Jacobi polynomials. The sub
Externí odkaz:
http://arxiv.org/abs/1606.08758
Autor:
Natanson, Gregory
The paper presents the unified technique for constructing SUSY ladders of rational Liouville potentials (RLPs) starting from the so-called "Gauss-reference" (GRef) potentials exactly quantized on the line via classical Jacobi, classical (generalized)
Externí odkaz:
http://arxiv.org/abs/1503.04798
Autor:
Natanson, Gregory
It is shown that the regular-at-infinity solution of the 1D Schrodinger equation with the hyperbolic Poschl-Teller (h-PT) potential with integer parameters is expressible in terms of a n-order Heun polynomial in y=thr at an arbitrary negative energy.
Externí odkaz:
http://arxiv.org/abs/1410.1515
Autor:
Natanson, Gregory
The paper studies violation of conventional rules of SUSY quantum mechanics for the centrifugal potential V(r) within the limit-circle (LC) range. A special attention is given to transformation properties of the Titchmarsh-Weyl m-function under Darbo
Externí odkaz:
http://arxiv.org/abs/1405.2059
Autor:
Natanson, Gregory
The paper re-examines Milson's analysis of the rational Sturm-Liouville (RSL) problem with two complex conjugated regular singular points -i and +i by taking advantage of Stevenson's complex linear-fraction transformation S(y) of the variable y restr
Externí odkaz:
http://arxiv.org/abs/1310.0796