We will describe how a new, quite simple, but highly effective algorithm,
together with the asymptotically fast FFT-based high-precision number
multiplication of Mathematica 4 can calculate the ground state of the x^4
anharmonic oscillator to the new record of more than 1000 digits

Trott, Michael

English

arXiv

As is well known,  only a very limited number of one–dimensional potentials allow for an exact solution of the Schrödinger equation1. This means that for many model potentials one has to resort to numerical solution methods. For judging their accu-racy,  reliability,  and speed it is important to have high–precision values of certai

Michael Trott

CiteSeerX

1 High-precision Value for the Quartic Anhar- monic Oscillator Ground State

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.188.8295

High-Precision Value for the Quartic Anharmonic Oscillator Ground State

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