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F. Cooper, A. Khare and U. Sukhatme, “Supersymmetry and Quantum Mechanics,” Physics Reports, Vol. 251, No. 5-6, 1995, pp. 267-385.
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F. Cooper, J. N. Ginocchio and A. Khare, “Relationship between Supersymmetry and Solvable Potentials,” Physical Review D, Vol. 36, No. 8, 1987, pp. 2458-2473.
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R. Dutt, A. Khare and U. P. Sukhatme, “Exactness of Supersymmetric WKB Spectra for Shape-Invariant Potentials,” Physics Letters B, Vol. 181, No. 3-4, 1986, pp. 295-298. doi:10.1016/0370-2693(86)90049-3
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J. W. Dabrowska, A. Khare and U. P. Sukhatme, “Explicit Wavefunctions for Shape-Invariant Potentials by Operator Techniques,” Journal of Physics A: Mathematical and General, Vol. 21, No. 4, 1988, pp. L195-L200.
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F. Cooper, A. Khare and U. Sukhatme, “Periodic Solutions of Nonlinear Equations Obtained by Linear Superposition,” Journal of Physics A: Mathematical and General, Vol. 35, No. 47, 2002, pp. 10085-10100.
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D. T. Barclay, R. Dutt, A. Gangopadhyaya, A. Khare, A. Pagnamenta and U. Sukhatme, “New Exactly Solvable Hamiltonians: Shape Invariance and Self-Similarity,” Physical Review A, Vol. 48, No. 4, 1993, pp. 2786-2797.
doi:10.1103/PhysRevA.48.2786
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A. Khare and U. P. Sukhatme, “Scattering Amplitudes for Supersymmetric Shape-Invariant Potentials by Operator Methods,” Journal of Physics A: Mathematical and General, Vol. 21, No. 9, 1988, p. L501.
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R. Adhikari, R. Dutt, A. Khare and U. P. Sukhatme, “Higher-Order WKB Approximations in Supersymmetric Quantum Mechanics,” Physical Review A, Vol. 38, No. 4, 1988, pp. 1679-1686. doi:10.1103/PhysRevA.38.1679
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R. Dutt, A. Khare and U. P. Sukhatme, “Supersymmetry- Inspire WKB Approximation in Quantum Mechanics,” American Journal of Physics, Vol. 59, No. 8, 1991, pp. 723-727. doi:10.1119/1.16840
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A. Khare and U. P. Sukhatme, “New Shape-Invariant Potentials in Supersymmetric Quantum Mechanics,” Journal of Physics A: Mathematical and General, Vol. 26, 1993, pp. L901-L904. doi:10.1088/0305-4470/26/18/003
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U. P. Sukhatme, C. Rasinariu and A. Khare, “Cyclic Shape Invariant Potentials,” Physics Letters A, Vol. 234, No. 6, 1997, pp. 401-409.
doi:10.1016/S0375-9601(97)00555-0
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A. Khare and U. P. Sukhatme, “Linear Superposition in Nonlinear Equations,” Physical Review Letters, Vol. 88, No. 24, 2002, pp. 244101-244104.
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W. Keung, E. Kovacs and U. P. Sukhatme, “Supersym- metry and Double-Well Potentials,” Physical Review Let- ters, Vol. 60, No. 41, 1988, pp. 41-44.
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S. Chaturvedi, R. Dutt, A. Gangopadhyaya, P. Panigrahi, C. Rasinariu and U. Sukhatme, “Algebraic Shape Invariant Models,” Physics Letters A, Vol. 248, No. 2-4, 1998, pp. 109-113. doi:10.1016/S0375-9601(98)00636-7
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R. De, R. Dutt and U. Sukhatme, “Mapping of Shape Invariant Potentials under Point Canonical Transforma- tions,” Journal of Physics A: Mathematical and General, Vol. 25, No. 13, 1992, pp. L843-L850.
doi:10.1088/0305-4470/25/13/013
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A. Gangopadhyaya, A. Khare and U. P. Sukhatme, “Meth- ods for Generating Quasi-Exactly Solvable Potentials,” Physics Letters A, Vol. 208, No. 4, 1995, pp. 261-268.
doi:10.1016/0375-9601(95)00824-3
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M. Hruska, W. Keung and U. Sukhatme, “Accuracy of Semiclassical Methods for Shape-Invariant Potentials,” Physical Review A, Vol. 55, No. 5, 1997, pp. 3345-3350.
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A. Khare and U. P. Sukhatme, “Cyclic Identities Involving Jacobi Elliptic Functions,” Journal of Mathematical Physics, Vol. 43, No. 7, 2002, pp. 3798-3806.
doi:10.1063/1.1484541
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A. Gangopadhyaya, J. V. Mallow and U. P. Sukhatme, “Translational Shape Invariance and the Inherent Potential Algebra,” Physics Letters A, Vol. 58, No. 3, 1998, pp. 4287-4292.
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F. Cooper, J. N. Ginocchio and A. Wipf, “Derivation of the S-Matrix Using Supersymmetry,” Physics Letters A, Vol. 129, No. 3, 1988, pp. 145-147.
doi:10.1016/0375-9601(88)90131-4
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A. Khare and U. Sukhatme, “Phase-Equivalent Potentials Obtained from Supersymmetry,” Journal of Physics A: Mathematical and General, Vol. 22, No. 14, 1989, p. 2847. doi:10.1088/0305-4470/22/14/031
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J. Pappademos, U. Sukhatme and A. Pagnamenta, “Bound States in the Continuum from Supersymmetric Quantum Mechanics,” Physical Review A, Vol. 48, No. 3525, 1993, pp. 3525-3531. doi:10.1103/PhysRevA.48.3525
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F. Cooper, A. Khare, B. Mihaila and A. Saxena, “Exact Solitary Wave Solutions for a Discrete λ?4 Field Theory in 1 + 1 Dimensions,” Physical Review E, Vol. 72, No. 3, 2005, Article ID 036605.
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A. Gangopadhyaya and U. P. Sukhatme, “Potentials with Two Shifted Sets of Equally Spaced Eigenvalues and Their Calogero Spectrum,” Physics Letters A, Vol. 224, No. 1-2, 1996, pp. 5-14.
doi:10.1016/S0375-9601(96)00807-9
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R. Dutt, A. Gangopadhyaya, A. Khare, A. Pagnamenta and U. Sukhatme, “Solvable Quantum Mechanical Examples of Broken Supersymmetry,” Physics Letters A, Vol. 174, No. 5-6, 1993, pp. 363-367.
doi:10.1016/0375-9601(93)90191-2
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A. Gangopadhyaya, J. V. Mallow and U. P. Sukhatme, “Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras,” Physics Letters A, Vol. 283, No. 5, 2001, pp. 279-284.
doi:10.1016/S0375-9601(01)00266-3
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A. Khare and U. Sukhatme, “Analytically Solvable PT- Invariant Periodic Potentials,” Physics Letters A, Vol. 324, 2004, pp. 406-414. doi:10.1016/j.physleta.2004.03.006
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R. Dutt, A. Gangopadhyaya, A. Khare, A. Pagnamenta and U. Sukhatme, “Semiclassical Approach to Quantum- Mechanical Problems with Broken Supersymmetry,” Physical Review A, Vol. 48, No. 3, 1993, pp. 1845-1853.
doi:10.1103/PhysRevA.48.1845
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W. Keung, U. P. Sukhatme, Q. Wang and T. D. Imbo, “Families of Strictly Isospectral Potentials,” Journal of Physics A: Mathematical and General, Vol. 22, No. 21, 1989, pp. L987-L992. doi:10.1088/0305-4470/22/21/002
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P. K. Panigrahi and U. P. Sukhatme, “Singular Superpotentials in Supersymmetric Quantum Mechanics,” Physics Letters A, Vol. 178, No. 3-4, 1993, pp. 251-257.
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F. Cooper, A. Khare, R. Musto and A. Wipf, “Supersymmetry and the Dirac Equation,” Annals of Physics, Vol. 187, No. 1, 1988, pp. 1-28.
doi:10.1016/0003-4916(88)90279-5
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M. S. Kumar and A. Khare, “Coherent States for Isospectral Hamiltonians,” Physics Letters A, Vol. 217, No. 2-3, 1996, pp. 73-77. doi:10.1016/0375-9601(96)00332-5
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F. Cooper, J. N. Ginocchio and A. Wipf, “Supersymmetry, Operator Transformations and Exactly Solvable Potentials,” Journal of Physics A: Mathematical and General, Vol. 22, No. 17, 1989, pp. 3707-3716.
doi:10.1088/0305-4470/22/17/035
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R. Dutt, A. Khare and Y. P. Varshni, “New Class of Conditionally Exactly Solvable Potentials in Quantum Mechanics,” Journal of Physics A: Mathematical and Gen- eral, Vol. 28, No. 3, 1995, p. L107.
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A. Khare, K. Rasmussen, M. Salerno, M. R. Samuelsen and A. Saxena, “Discrete Nonlinear Schr?dinger Equations with Arbitrarily High-Order Nonlinearities,” Physical Review E, Vol. 74, No. 1, 2006, Article ID 016607.
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A. Khare, “Parasupersymmetric Quantum Mechanics of Arbitrary Order,” Journal of Physics A: Mathematical and General, Vol. 25, No. 12, 1992, p. L749.
doi:10.1088/0305-4470/25/12/008
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A. Khare and Y. P. Varshni, “Is Shape Invariance Also Necessary for Lowest Order Supersymmetric WKB to Be Exact?” Physics Letters A, Vol. 142, No. 1, 1989, pp. 1-4.
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R. Dutt, A. Gangopadhyaya, C. Rasinariu and U. Sukhatme, “New Solvable Singular Potentials,” Journal of Physics A: Mathematical and General, Vol. 34, No. 19, 2001, p. 4129. doi:10.1088/0305-4470/34/19/311
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E. Harikumar, V. S. Kumar and A. Khare, “Supersymmetric Quantum Mechanics on Non-Commutative Plane,” Physics Letters B, Vol. 589, No. 3-4, 2004, pp. 155-161.
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A. Gangopadhyaya, P. K. Panigrahi and U. P. Sukhatme, “Supersymmetry and Tunneling in an Asymmetric Double Well,” Physical Review A, Vol. 47, No. 4, 1993, pp. 2720-2724. doi:10.1103/PhysRevA.47.2720
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R. Dutt, A. Khare and U. P. Sukhatme, “Supersymmetry, Shape Invariance, and Exactly Solvable Potentials,” American Journal of Physics, Vol. 56, No. 2, 1988, p. 163.
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C. X. Chuan, “Exactly Solvable Potentials and the Concept of Shape Invariance,” Journal of Physics A: Mathematical and General, Vol. 24, No. 19, 1991, p. L1165.
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C. X. Chuan, “Odd Potentials in Supersymmetric Quantum Mechanics,” Journal of Physics A: Mathematical and General, Vol. 23, No. 13, 1990, p. L659.
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C. X. Chuan, “The Theory of Coupled Differential Equations in Supersymmetric Quantum Mechanics,” Journal of Physics A: Mathematical and General, Vol. 23, No. 23, 1990, p. L1217. doi:10.1088/0305-4470/23/23/006
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C. X. Chuan, “Some Solvable Eigenvalue Problems,” International Journal of Theoretical Physics, Vol. 34, No. 9, 1995, pp. 1907-1914. doi:10.1007/BF00674072
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C. X. Chuan, “Alternative Approach to the Concept of Shape Invariance in Quantum Mechanics,” International Journal of Theoretical Physics, Vol. 37, No. 9, 1998, pp. 2439-2448. doi:10.1023/A:1026679311801
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C. X. Chuan, “Higher Order Generation of Exactly Solvable Supersymmetric Systems,” International Journal of Theoretical Physics, Vol. 38, No. 2, 1999, pp. 745-756.
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T. Barakat, “Perturbed Coulomb Potentials in the Klein- Gordon Equation via the Asymptotic Iteration Method,” Annals of Physics, Vol. 324, No. 3, 2009, pp. 725-733.
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J. B. Wang, J. F. Williams, A. T. Stelbovics, J. E. Furst and D. H. Madison, “Coherent Excitation of the Singlet- Triplet Mixed 1s4f State of Helium,” Physical Review A, Vol. 52, No. 4, 1995, pp. 2885-2900.
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