@article{AIHPA_1982__36_1_41_0, author = {Graffi, S. and Harrell, E.}, title = {Inverse scattering for the one-dimensional {Stark} effect and application to the cylindrical {KdV} equation}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {41--58}, publisher = {Gauthier-Villars}, volume = {36}, number = {1}, year = {1982}, mrnumber = {653017}, zbl = {0506.35079}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1982__36_1_41_0/} }
TY - JOUR AU - Graffi, S. AU - Harrell, E. TI - Inverse scattering for the one-dimensional Stark effect and application to the cylindrical KdV equation JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1982 SP - 41 EP - 58 VL - 36 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1982__36_1_41_0/ LA - en ID - AIHPA_1982__36_1_41_0 ER -
%0 Journal Article %A Graffi, S. %A Harrell, E. %T Inverse scattering for the one-dimensional Stark effect and application to the cylindrical KdV equation %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1982 %P 41-58 %V 36 %N 1 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1982__36_1_41_0/ %G en %F AIHPA_1982__36_1_41_0
Graffi, S.; Harrell, E. Inverse scattering for the one-dimensional Stark effect and application to the cylindrical KdV equation. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 36 (1982) no. 1, pp. 41-58. http://archive.numdam.org/item/AIHPA_1982__36_1_41_0/
[1] Schrödinger Operators with Electric or Magnetic Fields, in Mathematical Problems in theoretical Physics, K. Osterwalder, ed. Lecture Notes in Physics, t. 116, Berlin, Heidelberg, and New York, Springer, 1980. | MR | Zbl
,[2] Schrödinger Operators with External Homogeneous Electric and Magnetic Fields, Lecture at the 1980 Erice Summer School in Mathematical Physics, to be published.
,[3] Eigenfunction Expansions Associated with Second-Order Differential Equations, t. I, Oxtord, at the Clarendon Press, 1946. | Zbl
,[4] Spectral and Scattering Theory of Schrödinger Operators Related to the Stark Effect, Comm. Math. Physics, t. 52, 1977, p. 239-254. | MR | Zbl
and ,[5] Unitary Equivalence of Stark Hamiltonians, Math. Z., t. 155, 1977, p. 55-70. | MR | Zbl
,[6] Inverse Spectral Problem for the One-Dimensional Schrödinger Equation with an Additional Linear Potential, Lett. al Nuovo Cim., t. 23, 1978, p. 143-149.Solution by the Spectral-Transform Method of a Nonlinear Evolution Equation Including as a Special Case the Cylindrical KdV, ibid., p. 150-154.Conservation Laws for a Nonlinear Evolution Equation that Includes as a Special Case the Cylindrical KdV Equation, ibid., p. 155-160. | MR
and ,[7] Ordinary Differential Equations in the Complex Domain, New York, Wiley, 1976. | MR | Zbl
,[8] Asymptotics and Special Functions, New York, Academic Press, 1974. | MR | Zbl
,[9] Obratnaya Zadacha Rasseyaniya dlya Uravneniya Shredingera na Osi, Mat. Zametki, t. 4, 1968, p. 677-684.
,[10] The Inverse Problem in the Quantum Theory of Scattering, J. Math. Physics, t. 4, 1963, p. 72-104. | MR | Zbl
,[11] Handbook of Mathematical Functions, Applied Mathematics Series, t. 55, Washington, National Bureau of Standards, 1964.
and , eds.[12] Methods of Modern Mathematical Physics, t. 2, Fourier Analysis, Self-Adjointness, New York, Academic Press, 1975. | Zbl
and ,[13] The Airy Transform, Amer. Math. Monthly, t. 86, 1979, p. 271-277. | MR | Zbl
,[14] Solitons, Topics in Current Physics, t. 17, Berlin, Heidelberg and New York, Springer, 1980. | MR | Zbl
and , eds.