High-Precision Value for the Quartic Anharmonic Oscillator Ground State

2000/12/28 by Michael Trott, Trott, Michael
Engineering · Physics and Astronomy · #Advanced Frequency and Time Standards #FOS: Physical sciences #Geophysics and Sensor Technology #Photorefractive and Nonlinear Optics #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0012147

arxiv created 2000/12/28 · openalex publication_date 2000/12/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 x⁴ anharmonic oscillator to the new record of more than 1000 digits.

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