@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},
year = {1982},
publisher = {Gauthier-Villars},
volume = {36},
number = {1},
mrnumber = {653017},
zbl = {0506.35079},
language = {en},
url = {https://www.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 - https://www.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 https://www.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. https://www.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. | Zbl | MR
[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] and , Spectral and Scattering Theory of Schrödinger Operators Related to the Stark Effect, Comm. Math. Physics, t. 52, 1977, p. 239-254. | Zbl | MR
[5] , Unitary Equivalence of Stark Hamiltonians, Math. Z., t. 155, 1977, p. 55-70. | Zbl | MR
[6] and , 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
[7] , Ordinary Differential Equations in the Complex Domain, New York, Wiley, 1976. | Zbl | MR
[8] , Asymptotics and Special Functions, New York, Academic Press, 1974. | Zbl | MR
[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. | Zbl | MR
[11] and , eds. Handbook of Mathematical Functions, Applied Mathematics Series, t. 55, Washington, National Bureau of Standards, 1964.
[12] and , Methods of Modern Mathematical Physics, t. 2, Fourier Analysis, Self-Adjointness, New York, Academic Press, 1975. | Zbl
[13] , The Airy Transform, Amer. Math. Monthly, t. 86, 1979, p. 271-277. | Zbl | MR
[14] and , eds. Solitons, Topics in Current Physics, t. 17, Berlin, Heidelberg and New York, Springer, 1980. | Zbl | MR





