A formal series solution of the one-dimensional Schrödinger equation
Schimming, Rainer
Archivum Mathematicum, Tome 027 (1991), p. 85-93 / Harvested from Czech Digital Mathematics Library
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Publié le : 1991-01-01
Classification:  34A05,  34A25,  34A45,  34E05,  34L40 
@article{107407,
     author = {Rainer Schimming},
     title = {A formal series solution of the one-dimensional Schr\"odinger equation},
     journal = {Archivum Mathematicum},
     volume = {027},
     year = {1991},
     pages = {85-93},
     zbl = {0756.34009},
     mrnumber = {1189645},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107407}
}

Schimming, Rainer. A formal series solution of the one-dimensional Schrödinger equation. Archivum Mathematicum, Tome 027 (1991) pp. 85-93. http://gdmltest.u-ga.fr/item/107407/

M. Adleг; J. Moser On a Class of Polynomials Connected with the Korteweg-de Vries Equation, Commun. math. Phys. 61 (1978), 1-30. (1978) | MR 0501106

J. L. Burchnall; T. W. Chaundy A set of differential equations which can be solved by polynomials, Proc. London Math. Soc. 30 (1929-30), 401-414. (1929)

J. Hadamard Lectures on Cauchy's Problem, Yale University Press, New Haven, 1923. (1923)

J. E. Lagnese A New Differential Operator of the Pure Wave Type, J. Diff. Equ. 1 (1965), 171-187. (1965) | MR 0206504 | Zbl 0134.31102

J. E. Lagnese The Structure of a Class of Huygens' Operators, J. Math. Mech. 18 (1969), 1195-1201. (1969) | MR 0243204 | Zbl 0185.18602

R. Schimming Korteweg-de Vries-Hierarchie und Huygenssches Prinzip, Dresdener Seminar zuг Theoretischen Physik Nr. 26, 1986. (1986)

R. Schimming An explicit expression for the Korteweg-de Vries hierarchy, Zeitschrift f. Аnalysis u. ihre Аnw. 7 (1988), 203-214. (1988) | MR 0951118 | Zbl 0659.35089