References
- Bloch C. Cours sur la théorie des réactions nucléaires. Commissariat à l'Énergie Atomique, Centre d'Études Nucléaires de Saclay. (1955–1956).
- Feshbach H. The optical model and its justification. Ann Rev Nucl Sci. 1958;8:49–104.
- Chau Huu-Tai P, Ducomet B. On an energy-dependent hamiltonian appearing in the nuclear optical model. In Preparation.
- Morillon B, Romain P. Dispersive and global spherical optical model with a local energy approximation for the scattering of neutrons by nuclei from 1 keV to 300 MeV. Phys Rev C. 2004;70:014601.
- Lyantse VE. An analog of the inverse problem of scattering theory for a non-selfadjoint operator. Math USSR-Sbornik. 1967;1:485–504.
- Naimark MA. Investigations on the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis. Trud Mosk Mat Obch AMS Trans. 1960;16:103–193.
- Lyantse VE. On a differential operator with spectral singularities I. Math Sbornik. 1964;64:521–561. (in Russian).
- Lyantse VE. On a differential operator with spectral singularities II. Math Sbornik. 1964;65:47–103. (in Russian).
- Pavlov BS. The non-selfadjoint Schrödinger operator I. In: Topics in mathematical physics, New York: Consultant Bureau; 1967.
- Pavlov BS. The non-selfadjoint Schrödinger operator II. In: Topics in mathematical physics. New York: Consultant Bureau; 1968.
- Pavlov BS. The non-selfadjoint Schrödinger operator III. In: Topics in mathematical physics. New York: Consultant Bureau; 1969.
- Krall AM. A nonhomogeneous eigenfunction expansion. AMS Trans. 1965;117:352–361.
- Folland GB. Spectral analysis of a singular non-selfadjoint boundary value problem. J Differ Equ. 1980;37:206–224.
- Hruščev SV. Spectral singularities of dissipative Schrödinger operators with rapidly decreasing potential. Indiana Univ Math J. 1984;33:613–638.
- Brown BM, Eastham MSP, McCormack DKR. Resonances and analytic continuation for exponentially decaying Sturm-Liouville potentials. J Comp Appl Math. 2000;116:181–193.
- Gel'fand IM, Levitan BM. On the determination of a differential equation from its spectral function. AMS Trans. 1955;2:253–304.
- Faddeev LD. The inverse problem in the quantum theory of scattering. J Math Phys. 1963;4:72–104.
- Agranovich ZA, Marchenko VA. The inverse problem of scattering theory. New York: Gordon and Breach; 1963.
- Newton R. Scattering theory of waves and particles. New York: Springer-Verlag; 1982.
- Chadan K, Sabatier PC. Inverse problems in quantum scattering theory. New York: Springer-Verlag; 1989.
- Pöschel J, Trubowitz E. Inverse spectral theory. San Diego: Academic Press; 1987.
- Beals R, Deift P, Tomei C. Direct and inverse scattering on the line. Providence (RI): American Mathematical Society; 2010.
- Bardos C. La méthode inverse. Son application au comportement asymptotique des solutions de KDV. Séminaire d'équations aux dérivées partielles non linéaires, Université Paris-Sud (1977).
- Colin de Verdière Y. La matrice de scattering pour l'opérateur de Schröginger sur la droite réelle, Séminaire Bourbaki, 32e année, Exposé 557. (1979/80).
- Jaulent M. On an inverse scattering problem with an energy-dependent potential. Ann Inst Henri Poincaré. 1972;17:363–378.
- Jaulent M, Jean C. The inverse S-wave scattering for a class of potentials depending on energy. Commun Math Phys. 1972;28:177–220.
- Friedman B, Mishoe LI. Eigenfunction expansions associated with a non-selfadjoint differential equation. Pacific J Math. 1956;6:249–270.
- Bairamov E, Çakar Ö, Çelebi AO. Quadratic pencil of Schrödinger operators with spectral singularities: discrete spectrum and principal functions. J Math Anal Appl. 1997;216:303–320.
- Bairamov E, Çakar Ö, Krall AM. An eigenfunction expansion for a quadratic pencil of Schrödinger operators with spectral singularities. J Differ Equ. 1999;151:268–289.
- Başcanbaz Tunca G, Bairamov E. Discrete spectrum and principal functions of non-selfadjoint differential operators. Czech Math J. 1999;49:689–700.
- Krall AM, Bairamov E, Çakar O. Spectrum and spectral singularities of a quadratic pencil of Schrödinger operators with a general boundary condition. J Differ Equ. 1999;151:252–267.
- de Alfaro V, Regge T. Potential scattering. Amsterdam: North-Holland; 1965.
- Seeley RT. Integral equations depending analytically on a parameter. Indag Math. 1962;24:434–442.
- Tamarkin JD. On Fredholm integral equations whose kernels are analytic in a parameter. Ann Math. 1926;28:127–152.