第30回 コンピュータ理工学部コロキウム 開催

日時 2014年4月9日(水) 13:15〜14:40
場所 京都産業大学 14号館1階 14102教室
交通 ※キャンパス内に駐車場はありません。公共交通機関をご利用ください。
交通アクセス
備考 事前申込不要・入場無料・一般の方の参加歓迎

講演者・演題・要旨

Prof. Wytse van Dijk (McMaster University, Hamilton, Canada)

Accurate numerical solutions to the time-dependent Schrödinger equation

The Schrödinger equation is frequently employed to describe non-relativistic quantum systems. A generalization of the often-used Crank-Nicolson method of obtaining numerical solutions to the time-dependent Schrödinger equation is presented. This approach leads to improvement in the attainable precision of more than ten orders of magnitude along with several orders of magnitude reduction in computational time. For illustrative purposes the method is applied to some well-known systems, and its results are compared to those of earlier approaches and to more recent generalizations. Extensions to multi-channel Schrödinger systems and some more complicated analytic solutions for testing the numerical methods will also be discussed.

PAGE TOP