NEW INTEGRAL-REPRESENTATION OF THE SOLUTIONS OF THE SCHRODINGER-EQUATION WITH ARBITRARY POTENTIALS

Authors
MONACO RL RODRIGUES WA
Citation
Rl. Monaco et Wa. Rodrigues, NEW INTEGRAL-REPRESENTATION OF THE SOLUTIONS OF THE SCHRODINGER-EQUATION WITH ARBITRARY POTENTIALS, Physics letters. A, 179(4-5), 1993, pp. 235-238
Citations number
4
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
179
Issue
4-5
Year of publication
1993
Pages
235 - 238
Database
ISI
SICI code
0375-9601(1993)179:4-5<235:NIOTSO>2.0.ZU;2-W
Abstract
We present a new method for solving the Schrodinger equation with arbi trary potentials. The solution is given in terms of a Fourier-like int egral representation which involves a universal function (R(k)(z)) for the Schrodinger equation. The integral representation follows from nu mber theory together with some results from the partition theory of op erational calculus. The new method can be used to solve any linear dif ferential equation and also can be extended to solve linear partial di fferential equations.