第30回 コンピュータ理工学部コロキウム 開催
|場所||京都産業大学 14号館1階 14102教室|
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.