CAN THE TRANSMISSION-LINE MATRIX-METHOD YIELD STATIONARY SOLUTIONS OFTHE TIME-DEPENDENT SCHRODINGER-EQUATION

Authors
ENDERS P
Citation
P. Enders, CAN THE TRANSMISSION-LINE MATRIX-METHOD YIELD STATIONARY SOLUTIONS OFTHE TIME-DEPENDENT SCHRODINGER-EQUATION, International journal of numerical modelling, 9(4), 1996, pp. 321-323
Citations number
6
Categorie Soggetti
Computer Application, Chemistry & Engineering","Mathematical Method, Physical Science","Engineering, Eletrical & Electronic
Journal title
International journal of numerical modelling → ACNP
ISSN journal
08943370
Volume
9
Issue
4
Year of publication
1996
Pages
321 - 323
Database
ISI
SICI code
0894-3370(1996)9:4<321:CTTMYS>2.0.ZU;2-#
Abstract
By virtue of the success of the transmission line matrix method (TLM) in solving heat and matter diffusion problems, it should also be appli cable to the time-dependent Schrodinger equation. The occurrence of co mplex-valued circuit elements does not destroy the unconditional stabi lity of the routine. But it seems to be impossible to obtain stationar y (eigen)solutions to this equation as well as separable solutions to the diffusion equation. It is suggested that this is due to the non-di ssipativity of the TLM routine.