A formal series solution of the one-dimensional Schrödinger equation

Rainer Schimming

Archivum Mathematicum (1991)

  • Volume: 027, Issue: 1-2, page 85-93
  • ISSN: 0044-8753

How to cite

top

Schimming, Rainer. "A formal series solution of the one-dimensional Schrödinger equation." Archivum Mathematicum 027.1-2 (1991): 85-93. <http://eudml.org/doc/18318>.

@article{Schimming1991,
author = {Schimming, Rainer},
journal = {Archivum Mathematicum},
keywords = {asymptotic expansion; initial value problem; one-dimensional Schrödinger equation; potential; formal series},
language = {eng},
number = {1-2},
pages = {85-93},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A formal series solution of the one-dimensional Schrödinger equation},
url = {http://eudml.org/doc/18318},
volume = {027},
year = {1991},
}

TY - JOUR
AU - Schimming, Rainer
TI - A formal series solution of the one-dimensional Schrödinger equation
JO - Archivum Mathematicum
PY - 1991
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 027
IS - 1-2
SP - 85
EP - 93
LA - eng
KW - asymptotic expansion; initial value problem; one-dimensional Schrödinger equation; potential; formal series
UR - http://eudml.org/doc/18318
ER -

References

top
  1. M. Adleг, J. Moser, On a Class of Polynomials Connected with the Korteweg-de Vries Equation, Commun. math. Phys. 61 (1978), 1-30. (1978) MR0501106
  2. 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) 
  3. J. Hadamard, Lectures on Cauchy's Problem, Yale University Press, New Haven, 1923. (1923) 
  4. J. E. Lagnese, A New Differential Operator of the Pure Wave Type, J. Diff. Equ. 1 (1965), 171-187. (1965) Zbl0134.31102MR0206504
  5. J. E. Lagnese, The Structure of a Class of Huygens' Operators, J. Math. Mech. 18 (1969), 1195-1201. (1969) Zbl0185.18602MR0243204
  6. R. Schimming, Korteweg-de Vries-Hierarchie und Huygenssches Prinzip, Dresdener Seminar zuг Theoretischen Physik Nr. 26, 1986. (1986) 
  7. R. Schimming, An explicit expression for the Korteweg-de Vries hierarchy, Zeitschrift f. Аnalysis u. ihre Аnw. 7 (1988), 203-214. (1988) Zbl0659.35089MR0951118

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.