\begin{thebibliography}{99}

\bibitem{Andrianov.2003.NuclPhys}
  Andrianov,~A.~A. and Sokolov,~A.~V.,
\newblock
  ``Nonlinear supersymmetry in Quantum Mechanics: algebraic
    properties and differential representation'',
\newblock
  {\it Nuclear Physics} {\bf B660}, 25--50 (2003).
\newblock
  {\bf arXiv:hep-th/0301062}.
%%CITATION = HEP-TH 0301062;%%

\bibitem{Andrianov.2004.JPAGB}
  Andrianov,~A.~A. and Cannata,~F.,
\newblock
  ``Nonlinear supersymmetry for spectral design in quantum mechanics'',
\newblock
  {\it Journal of Physics} {\bf A37}, 10297--10323 (2004).
\newblock
  {\bf arXiv:hep-th/0407077}.
%%CITATION = HEP-TH 0407077;%%

\bibitem{Balantekin.1997.PHRVA}
  Balantekin,~A.~B.,
\newblock
  ``Algebraic approach to shape invariance'',
\newblock
  {\it Physical Review} {\bf A57}, 4188--4191 (1998);
\newblock
  {\bf quant-ph/9712018}.
%%CITATION = QUANT-PH 9712018;%%

\bibitem{Barclay.1993.PHRVA}
  Barclay,~D.~T., Dutt,~R., Gangopadhyaya,~A., Khare,~A., Pagnamenta,~A.
  and Sukhatme,~U.,
\newblock
  ``New exactly solvable Hamiltonians: shape invariance and
  self-similarity'',
\newblock
  {\it Physical Review} {\bf A48}, 2786--2797 (1993);
\newblock
  {\bf arxiv:hep-ph/9304313}.
%%CITATION = HEP-PH 9304313;%%

\bibitem{Zakhariev.1993.PHLTA}
  Chabanov,~V.~M. and Zakhariev,~B.~N.,
\newblock
  ``Absolutely transparent multichannel systems. Unexpected peculiarities'',
\newblock
  {\it Physics Letters} {\bf B 319} (1--3), 13--15 (1993).
%%CITATION = PHLTA,319,13;%%

\bibitem{Chadan.1977}
%   К.~Шадан, П.~Сабатье,
% \newblock
%   {\it Обратные задачи в квантовой теории рассеяния},
% \newblock
%   (Мир, Москва, 1980), 408~с.
  Chadan,~K. and Sabatier,~P.~C.,
\newblock
  {\it Inverse problems in quantum scattering theory},
\newblock
  Springer-verlag, New York (1977), 344~p.
% \href{http://www.slac.stanford.edu/spires/find/hep/www?irn=533190}{SPIRES entry}

\bibitem{Cooper.1987.PHRVA}
  Cooper,~F., Ginocchio,~J.~N. and Khare,~A.,
\newblock
  ``Relationship between supersymmetry and solvable potentials'',
\newblock
  {\it Physical Review} {\bf D 36} (8), 2458--2473 (1987).
%%CITATION = PHRVA,D36,2458;%%

\bibitem{Cooper.1995.PRPLC}
  Cooper,~F., Khare,~A. and Sukhatme,~U.,
\newblock
  Supersymmetry and quantum mechanics,
\newblock
  {\it Physics Reports} {\bf 251}, 267--385 (1995);
\newblock
  {\bf arXiv:hep-th/9405029}.
%%CITATION = HEP-TH 9405029;%%

\bibitem{Dutt.1986.PHLTA}
  Dutt,~R., Khare,~A. and Sukhatme,~U.~P.,
\newblock
  ``Exactness of supersymmetric WKB spectra for shape invariant
  potentials'',
\newblock
  {\it Physics Letters} {\bf B 181}, 295 (1986).
%%CITATION = PHLTA,B181,295;%%

\bibitem{Dutt.1988.AJPIA}
  Dutt,~R., Khare,~A. and Sukhatme,~U.,
\newblock
  ``Supersymmetry, shape invariance and exactly solvable potentials'',
\newblock
  {\it American Journal of Physics} {\bf 56}, 163--168 (1988).
%%CITATION = AJPIA,56,163;%%

\bibitem{Gendenshtein.1983.JETPL}
  Gendenshtein,~L.,
\newblock
  ``Derivation of exact spectra of the Schrodinger equation by
  means of supersymmetry'',
\newblock
  {\it JETP Lett.} {\bf 38}, 356--359 (1983).

\bibitem{Gomez-Ullate.quant-ph/0308062}
  G\'{o}mez-Ullate,~D.~, Kamran,~N. and Milson,~R.,
\newblock
  ``The inverse Darboux transformation and exactly solvable
  deformations of shape-invariant potentials'',
\newblock
  {\it Journal of Physics A: Mathematical and General}
  {\bf 37} (5--6), 1780--1804 (2004);
\newblock
  {\bf [arXiv:quant-ph/0308062]}.
%%CITATION = QUANT-PH 0308062;%%

\bibitem{Khare.1988.JPAGB}
  Khare,~A. and Sukhatme,~U.~P.,
\newblock
  ``Scattering amplitudes for supersymmetric shape invariant potentials
  by operator methods'',
\newblock
  {\it Journal of Physics A: Mathematical and General}
  {\bf 21}, L501--L508 (1988).
%%CITATION = JPAGB,A21,L501;%%

\bibitem{Khare.1993.JPAGB}
  Khare,~A. and Sukhatme,~U.~P.,
\newblock
  ``New shape invariant potentials in supersymmetric quantum
  mechanics'',
\newblock
  {\it Journal of Physics A: Mathematical and General}
  {\bf 26}, L901--L904 (1993);
\newblock
  {\bf arxiv:hep-th/9212147}.
%%CITATION = HEP-TH 9212147;%%

\bibitem{Maydanyuk.2004.PAST.refl}
  Maydanyuk,~S.~P.,
\newblock
  ``One-dimensional inverse power reflectionless potentials
  $V(x) = const \cdot |x-x_{0}|^{-n}$''
\newblock
  (talk on the II Conference on High Energy Physics,
  Nuclear Physics and Accelerator Physics,
  March 1-5, 2004, Kharkov, Ukraine),
\newblock
  {\it Problems of atomic science and technology. 
  Series: Nuclear Physics Investigations}
  (44) {\bf 5}, 22-25 (2004); 
\newblock
  {\bf arXiv:quant-ph/0404021}.
%%CITATION = QUANT-PH 0404021;%%

\bibitem{Maydanyuk.2005.APNYA}
  Maydanyuk,~S.~P.,
\newblock
  ``SUSY-hierarhy of one-dimensional reflectionless potentials'',
\newblock
  {\it Annals of Physics} {\bf 316} (2), 440--465 (April, 2005);
\newblock
  {\bf arXiv:hep-th/0407237}.
%%CITATION = HEP-TH 0407237;%%

\bibitem{Rubakov.1993.MPLAE}
  Rubakov,~V. and Spiridonov,~V.,
\newblock
  ``Parasupersymmetric quantum mechanics'',
\newblock
  {\it Modern Physics Letters} {\bf A 3}, 1337--1347 (1993).
%%CITATION = MPLAE,A3,1337;%%

\bibitem{Shabat.1992.INPEE}
  Shabat,~A.,
\newblock
  {\it Inverse Problems} {\bf 8}, 303 (1992).
%%CITATION = INPEE,8,303;%%

\bibitem{Spiridonov.1992.PRLTA}
  Spiridonov,~V.,
\newblock
  ``Exactly solvable potentials and quantum algebras'',
\newblock
  {\it Physical Review Letters} {\bf 69} (3), 398--401 (1992);
\newblock
  {\bf arXiv:hep-th/9112075}.
%%CITATION = HEP-TH 9112075;%%
%%CITATION = PRLTA,69,398;%%

\bibitem{Tihonov.1998}
%   А.~Н.~Тихонов, А.~Б.~Васильева, А.~Г.~Свешников,
% \newblock
%   {\it Дифференциальные уравнения},
% \newblock
%   (Наука - Физматлит, Москва, 1998), 232~с.
  Tihonov,~A.~N., Vasilieva,~A.~B. and Sveshnikov,~A.~G.,
\newblock
  {\it Differentsialnie uravneniya},
\newblock
  Nauka - Fizmatlit, Moskva (1998), 232~p. --- [in Russian].

\bibitem{Zakhariev.1994.PEPAN}
%        Б.~Н.~Захарьев, В.~М.~Чабанов,
%        \newblock
%        {\it Качественная теория управления спектрами, рассеянием,
%        распадами (уроки квантовой интуиции)},
%        \newblock
%        ЭЧАЯ {\bf 25} (Вып.~6), 1561--1597 (1994).
  Zakhariev,~B.~N. and Chabanov,~V.~M.,
\newblock
  ``Qualitative theory of control of spectra, scattering, decays
  (Quantum intuition lessons)'',
\newblock
  {\it Physics of elementary particles and atomic nuclei}
  {\bf 25} (Iss.~6), 1561--1597 (1994) --- [in Russian].

\bibitem{Zakhariev.1999.PEPAN}
%        Б.~Н.~Захарьев, В.~М.~Чабанов,
%        {\it К качественной теории элементарных преобразований
%        одно- и многоканальных квантовых систем в подходе
%        обратной задачи
%        (их конструирование с заданными спектральными параметрами)},
  Zakhariev,~B.~N. and Chabanov,~V.~M.,
\newblock
  ``On the qualitative theory of elementary transformations
  of one- and multicannel quantum systems in the inverse problem
  approach'',
\newblock
  {\it Physics of elementary particles and atomic nuclei}
  {\bf 30} (Iss.~2), 277--320 (1999) --- [in Russian].

\end{thebibliography}

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%               American Journal of Physics             = AJPIA
%		ANNALS PHYS (NEW YORK)      		= APNYA
%               Europhysics Letters                     = EULEE
%		Journal of Physics A - General 		= JPAGB
%               Journal of Physics: Condensed Matter    = JCOME
%               Journal de Physique. I (France)         = JPGCE
%		Inverse Problems			= INPEE
%		Modern Physics Letters 			= MPLAE
%               Physics Letters                         = PHLTA
%               Physics Reports                         = PRPLC
%               Physical Review                         = PHRVA
%               PHYS REV LETT                           = PRLTA
%               Reviews of Modern Physics               = RMPHA
%               YADERNAYA FIZ                           = YAFIA
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