✦ LIBER ✦

CAN THE TRANSMISSION LINE MATRIX METHOD YIELD STATIONARY SOLUTIONS OF THE TIME-DEPENDENT SCHRÖDINGER EQUATION?

✍ Scribed by PETER ENDERS

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 173 KB
Volume: 9
Category: Article
ISSN: 0894-3370
DOI: 10.1002/(sici)1099-1204(199607)9:4<321::aid-jnm252>3.0.co;2-h

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✦ Synopsis

By virtue of the success of the transmission line matrix method (TLM) in solving heat and matter diffusion problems, it should also be applicable to the time-dependent Schrodinger equation. The occurrence of complexvalued circuit elements does not destroy the unconditional stability of the routine. But it seems to be impossible to obtain stationary (eigen)solutions to this equation as well as separable solutions to the diffusion equation. It is suggested that this is due to the non-dissipativity of the TLM routine.