SPEEDUP codes implement symbolic derivation of higher-order effective actions for general quantum systems in Mathematica, and provide C programming language codes for their use in numerical Path Integral Monte Carlo simulations of various quantum systems. Wolfram Research invited SCL researchers developing SPEEDUP codes to join Wolfram Demonstrations Project and to contribute to their database of interactive visualizations in science and technology. With the support of Wolfram Research experts and based on SPEEDUP Mathematica codes, we have developed a series of demonstrations illustrating the most important advantages of the effective action approach.

• Short-time expansion of quantum amplitudes (harmonic/anharmonic oscillator, double-well)
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• Short-time expansion of amplitudes for time-dependent potentials (forced harmonic oscillator)
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• Anharmonic oscillator spectrum via diagonalization of amplitudes
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