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B. Mielnik and O. Rosas-Ortiz, Factorization, little or great algorithm ?, JOURNAL OF PHYSICS A-MATHEMATICAL AND
GENERAL 37 (2004), 43, 10007-10035.
1 Fernandez, DJ and Salinas-Hernandez, E, PHYSICS LETTERS A, 338 (2005),
1, 13-18.
2 Fernandez, DJ and Ganguly, A, PHYSICS LETTERS A, 338 (2005), 3, 203-208.
3 Mosna, RA and Hamilton, IP and Delle Site, L, JOURNAL OF PHYSICS AMATHEMATICAL AND GENERAL, 38 (2005), 17, 3869-3878.
4 Humi, M, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,
38 (2005), 28, 6351-6361.
5 Samsonov, Boris F, SUSY transformations between diagonalizable and nondiagonalizable Hamiltonians, Journal of Physics A: Mathematical and General,
(2005)
6 C.D.J Fernandez, Higher-order supersymmetric quantum mechanics, Arxiv preprint
quant-ph/ (2005).
7 R.A. Mosna, Quantumclassical correspondence via a deformed kinetic operator,
J. Phys. A: Math. Gen. 38, 3869 (2005).
DOI:10.1088/0305-4470/38/17/011.
8 Humi, M, JOURNAL OF MATHEMATICAL PHYSICS, 46( 2005), 8.
9 Pupasov, Andrey M. and Samsonov, Boris F., SYMMETRY INTEGRABILITY
AND GEOMETRY-METHODS AND APPLICATIONS, 1 (2005), 020.
10 M.A. and Lohe, An algebraic formulation of quantum mechanics in fractional
dimensions, Reports on Mathematical Physics 57, 1, 131-146 (2006).
11 De Vincenzo, Salvatore, CHINESE PHYSICS LETTERS, 23 (2006), 8, 19691972.
12 Samsonov, Boris F. and Pupasov, Andrey M., PHYSICS LETTERS A, 356
(2006), 3, 210-214.
13 Samsonov, Boris F., PHYSICS LETTERS A, 358 (2006), 2, 105-114.
14 Morales, J. and Pena, J. J. and Ovando, G. and Garcia-Ravelo, J., JOURNAL
OF MOLECULAR STRUCTURE-THEOCHEM, 769 (2006), 1-3, 9-14.
15 Cornejo-Perez, O. and Negro, J. and Nieto, L. M. and Rosu, H. C., FOUNDATIONS OF PHYSICS, 36 (2006),10, 1587-1599.
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16 M. Trott, The Mathematical guidebook for symbolics, Springer (NY, USA
2006), pp. 892.
17 P. Siegl, BSc. Thesis, Faculty of Nuclear Science and Physical Engineering,
Czech Technical University (Prague 2006).
18 Fernandez, David J. and Ganguly, Asish, ANNALS OF PHYSICS, 322 (2007),
5, 1143-1161.
19 Shamshutdinova, V. V. and Samsonov, Boris F. and Gitman, D. M., ANNALS
OF PHYSICS, 2007, 322, 5, 1043-1061.
20 Sokolov, A. V., Non-linear supersymmetry for non-Hermitian, non-diagonalizable
Hamiltonians: II. Rigorous results, NUCLEAR PHYSICS B, 2007, 773, 3, 137171.
21 N. FernándezGarcı́a, Darbouxdeformed barriers and resonances in quantum
mechanics, Rev. Mex. Fis. 53, 4, 2007.
22 Andrianov, A. A. and Cannata, F. and Sokolov, A. V., Non-linear supersymmetry for non-hermitian, non-diagonalizable Hamiltonians: I. General properties,
NUCLEAR PHYSICS B, 2007, 773, 3, 107-136
23 Pupasov, Andrey M. and Samsonov, Boris F. and Guenther, Uwe, Exact propagators for SUSY partners, JOURNAL OF PHYSICS A-MATHEMATICAL
AND THEORETICAL, 2007, 40, 34, 10557-10587.
24 N. Fernández-Garcı́a, On a Class of Hairy Square Barriers and Gamow Vectors,
AIP Conference Proceedings (2007).
25 Mateo, J. and Negro, J., Third-order differential ladder operators and supersymmetric quantum mechanics, JOURNAL OF PHYSICS A-MATHEMATICAL
AND THEORETICAL, 2008, 41, 4.
26 S. Menouar, M. Maamache, Y. Saadi and J.R. Choi, Exact wavefunctions for
a time-dependent Coulomb potential, J. Phys. A: Math. Theor. 41, 215303
(2008).
DOI:10.1088/1751-8113/41/21/215303
27 Schulze-Halberg, Axel, Darboux transformations for effective mass Schrodinger
equations with energy-dependent potentials, INTERNATIONAL JOURNAL
OF MODERN PHYSICS A, 2008, 23, 3-4, 537-546.
28 Khmelnytskaya, Kira V. and Kravchenko, Vladislav V., On a complex differential Riccati equation, JOURNAL OF PHYSICS A-MATHEMATICAL AND
THEORETICAL, 2008, 41, 8.
29 Dattoli, G. and Levi, D. and Winternitz, P., Heisenberg algebra, umbral calculus and orthogonal polynomials, JOURNAL OF MATHEMATICAL PHYSICS,
2008, 49, 5.
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30 Samsonov, Boris F. and Shamshutdinova, V. V., Dynamical qubit controlling
via pseudo-supersymmetry of two-level systems, JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 2008, 41, 24.
31 Contreras-Astorga, Alonso and Fernandez C, David J., Supersymmetric partners of the trigonometric Poschl-Teller potentials, JOURNAL OF PHYSICS
A-MATHEMATICAL AND THEORETICAL, 2008, 41, 47.
32 Shamshutdinova, Varvara V. and Pichugin, Konstantin N. and Rotter, Ingrid
and Samsonov, Boris F., Feshbach projection-operator formalism applied to
resonance scattering on Bargmann-type potentials, PHYSICAL REVIEW A,
2008, 78, 6, Part A.
33 Bagchi, B. and Quesne, C. and Roychoudhury, R., Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of
PT symmetry, PRAMANA-JOURNAL OF PHYSICS, 2009, 73, 2, Sp. Iss. SI,
337-347.
34 M. Mustafa, A Venn diagram for supersymmetric, exactly solvable, shape invariant, and Infeld-Hull factorizable potentials, Arxiv preprint arXiv:0911.4206,
(2009).
35 Quesne, Christiane, Solvable Rational Potentials and Exceptional Orthogonal
Polynomials in Supersymmetric Quantum Mechanics, SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5.
36 V.V. Kravchenko, Applied Pseudoanalytic Function Theory, Birkhauser Basel
(2009), pp. 179.
2010:
37 A. M. Pupasov, PhD. Thesis, Université Libre de Bruxelles, Faculte des Sciences Appliques & Tomsk University, Physics Faculty (Russia 2010).
38 Polotto, F. and Araujo, M. T. and Drigo Filho, E., Solutions of the FokkerPlanck equation for a Morse isospectral potential, JOURNAL OF PHYSICS
A-MATHEMATICAL AND THEORETICAL, 2010, 43, 1.
39 Daoud, M. and Kibler, M. R., Phase operators, temporally stable phase states,
mutually unbiased bases and exactly solvable quantum systems, JOURNAL OF
PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43, 11.
40 Sadurni, E. and Seligman, T. H. and Mortessagne, F., Playing relativistic
billiards beyond graphene, NEW JOURNAL OF PHYSICS, 2010, 12.
41 N. Cotfas, Hypergeometric type operators and their supersymmetric partners,
Arxiv preprint arXiv:1004.1496 (2010).
42 Berger, Micheal S. and Ussembayev, Nail S., Second-order supersymmetric
operators and excited states, JOURNAL OF PHYSICS A-MATHEMATICAL
AND THEORETICAL, 2010, 43, 38.
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43 Samsonov, Boris F., SUSY transformations with complex factorization constants: application to spectral singularities, JOURNAL OF PHYSICS A-MATHEMATICAL
AND THEORETICAL, 2010, 43, 40.
44 Olkhovsky, V. S. and Maydanyuk, S. P. and Recami, E., Non-self-adjoint operators as observables in quantum theory and nuclear physics, PHYSICS OF
PARTICLES AND NUCLEI 41, 4, 508-530 (2010).
45 Contreras-Astorga, Alonso and Fernandez C, David J. and Velazquez, Mercedes, Coherent states for quadratic Hamiltonians, JOURNAL OF PHYSICS
A-MATHEMATICAL AND THEORETICAL, 44, 3 (2011).
46 Dominguez-Hernandez, Samuel and Fernandez C., David, Rosen-Morse Potential and Its Supersymmetric Partners, International Journal of Theoretical
Physics 50, 7, 1993-2001 (2011).
47 D. Bermúdez, N. Fernández-Garcı́a, Wronskian differential formula for the
confluent supersymmetric quantum mechanics. Arxiv preprint arXiv:1109.0079,
(2011).
48 D.J. Fernández, C.M. Gadella, L.M. Nieto, Supersymmetry Transformations
for Delta Potentials? Symm. Int. Geom.: Methods and Applications, SIGMA
7 (2011), 029, 14.
49 D. Bermúdez and D.J. Fernández, Supersymmetric Quantum Mechanics and
Painlevé IV Equation, Symm. Int. Geo.: Methods and Applications, SIGMA 7
(2011), 025, 14.
50 H.C. Rosu, K.V. Khmelnytskaya, Parametric oscillators from factorizations
employing a constant-shifted Riccati solution of the classical harmonic oscillator,
Physics Letters A 375, 40, 3491-3495 (2011).
51 Gianfreda, M. and Landolfi, G. , Wave packets and statistics concerned with
SUSY-QM partners of Paul trap Hamiltonians, THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 168, 1, 924-938.
52 Bermudez, David and Fernandez C, David J. , Non-hermitian Hamiltonians
and the Painleve IV equation with real parameters, PHYSICS LETTERS A,
2011, 375, 33, 2974-2978.
53 Agboola, D. , Complete Analytical Solutions of the Mie-Type Potentials in
N-Dimensions, ACTA PHYSICA POLONICA A, 2011, 120, 3, 371-377.
54 Fernandez C, David J. and Salinas-Hernandez, Encarnacion , Hyperconfluent
third-order supersymmetric quantum mechanics, OF PHYSICS A-MATHEMATICAL
AND THEORETICAL, 2011, 44, 36.
55 Midya, Bikashkali , Nonsingular potentials from excited state factorization of a
quantum system with position-dependent mass, OF PHYSICS A-MATHEMATICAL
AND THEORETICAL, 2011, 44, 43.
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56 Bermudez, David and Fernandez C, David J. and Fernandez-Garcia, Nicolas ,
Wronskian differential formula for confluent supersymmetric quantum mechanics, PHYSICS LETTERS A, 2012, 376, 5, 692-696.
57 Chou, C.-C. and Biamonte, M.T. and Bodmann, B.G. and Kouri, D.J., New
system-specific coherent states for bound state calculations, Journal of Physics
A: Mathematical and Theoretical, 2012, 45, 50.
58 Andrianov, A.A. and Ioffe, M.V., Nonlinear supersymmetric quantum mechanics: Concepts and realizations, Journal of Physics A: Mathematical and
Theoretical, 2012, 45, 50.
59 Bermudez, D., Complex SUSY transformations and the Painlev IV equation,
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA),
2012, 8.
60 Fernandez, D.J., Harmonic oscillator SUSY partners and evolution loops, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2012,
8.
61 Marquette, I., Singular isotonic oscillator, supersymmetry and superintegrability, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA),
2012, 8.
62 Contreras-Astorga, A. and Fernandez C, D.J. and Negro, J., Solutions of the
Dirac equation in a magnetic field and intertwining operators?, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2012, 8.
63 Roy, P., Comment on ”a novel class of isospectral deformations in supersymmetric quantum mechanics”, Journal of High Energy Physics, 2012, 2012, 10.
64 Arcos-Olalla, R. and Reyes, M.A. and Rosu, H.C., An alternative factorization
of the quantum harmonic oscillator and two-parameter family of self-adjoint
operators, Physics Letters, Section A: General, Atomic and Solid State Physics,
2012, 376, 45.
65 Goyal, A. and Gupta, R. and Loomba, S. and Kumar, C.N., Riccati parameterized self-similar waves in tapered graded-index waveguides, Physics Letters,
Section A: General, Atomic and Solid State Physics, 2012, 376, 45, 3454-3457.
66 Kumar, C.N. and Gupta, R. and Goyal, A. and Loomba, S. and Raju, T.S. and
Panigrahi, P.K., Controlled giant rogue waves in nonlinear fiber optics, Physical
Review A - Atomic, Molecular, and Optical Physics, 2012, 86, 2.
67 Berezovoj, V.P. and Konchatnij, M.I., Dynamics of localized states in extended supersymmetric quantum mechanics with multi-well potentials, Journal
of Physics A: Mathematical and Theoretical, 2012, 45, 22.
68 Gupta, R. and Loomba, S. and Kumar, C.N., Class of nonlinearity control
parameter for bright solitons of non-autonomous NLSE with trapping potential,
IEEE Journal of Quantum Electronics, 2012, 48, 7, 847-851.
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69 Quesne, C., Revisiting (quasi-)exactly solvable rational extensions of the morse
potential, International Journal of Modern Physics A, 2012, 27, 13.
70 Maya-Mendieta, M. and Oliveros-Oliveros, J. and Teniza-Tetlalmatzi, E. and
Vargas-Ubera, J., Hermitian operators and boundary conditions, Revista Mexicana de Fisica, 2012, 58, 1, 94-103.
71 Marquette, I., Classical ladder operators, polynomial Poisson algebras, and
classification of superintegrable systems, Journal of Mathematical Physics, 2012,
53, 1.
72 Bermudez, D. and Fernandez C., D.J., Factorization method and new potentials from the inverted oscillator, Annals of Physics, 2013, 333, 290-306.
72 Chou, C.-C. and Kouri, D.J., Multidimensional supersymmetric quantum mechanics: Spurious states for the tensor sector two hamiltonian, Journal of Physical Chemistry A, 2013, 117, 16, 3442-3448.
72 Mak, M.K. and Harko, T., New further integrability cases for the Riccati
equation, Applied Mathematics and Computation, 2013, 219, 14, 7465-7471.
73 Goyal, A. and Gupta, R. and Kumar, C.N. and Soloman Raju, T. and Panigrahi, P.K., Controlling optical similaritons in a graded-index nonlinear waveguide by tailoring of the tapering profile, Optics Communications, 2013, 300,
236-243.
74 Patra, P. and Dutta, A. and Saha, J.P., SUSY formalism for the symmetric
double well potential, Pramana - Journal of Physics, 2013, 80, 1, 21-30.
75 Ho, C.-L. and Lee, J.-C. and Sasaki, R., Scattering amplitudes for multiindexed extensions of solvable potentials, Annals of Physics, 2014, 343, 115-131.
76 Rosu, H.C. and Mancas, S.C. and Chen, P., One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition
form, Annals of Physics, 2014, 343, 87-102.
77 Fernandez, D.J. and Morales-Salgado, V.S., Supersymmetric partners of the
harmonic oscillator with an infinite potential barrier, Journal of Physics A:
Mathematical and Theoretical, 2014, 47, 3.
78 Gomez-Ullate, D. and Grandati, Y. and Milson, R., Rational extensions of the
quantum harmonic oscillator and exceptional Hermite polynomials, Journal of
Physics A: Mathematical and Theoretical, 2014, 47, 1.
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