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2020-12-21 09:29:02 +0200 | commented answer | How to do quantum mechanics integrals in Sage? Thanks for your answer! I will give FriCAS a try. I will need to familiarize myself with the Sage ecosystem quite a bit more. |

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2020-12-20 20:15:14 +0200 | commented question | How to do quantum mechanics integrals in Sage? @slelievre Thanks for the tip! In this case, the outputs are not distinguishable from my set-up. Maxyma requires increasingly complicated assumptions about which I can know nothing. |

2020-12-20 19:42:58 +0200 | commented question | How to do quantum mechanics integrals in Sage? I am indeed using Sage 9.0. Surely there can't be a huge difference between 9.0 and 9.2? I'll definitely consider updating as a last option if I have no other solutions since I have sage working for everything else I need. |

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2020-12-20 18:48:21 +0200 | commented question | How to do quantum mechanics integrals in Sage? @Cyrille I think the constants are generally required in these integrals for normalization purposes. For e.g., in this case, see here: https://www.youtube.com/watch?v=wcrXc... |

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2020-12-20 15:33:08 +0200 | asked a question | How to do quantum mechanics integrals in Sage? Hi. I am a newcomer to Sage. I am trying to do integrals of the form shown below. This is from an introductory course in quantum mechanics. $ \psi(x, t) = \int_{-\infty}^{+\infty} f(p) \psi_p(x - x_0, t) d\mathrm{p} $ where, $ \psi_p(x, t) = \dfrac{1}{\sqrt{2\pi\hbar}}e^\left( -\dfrac{i}{\hbar}\left(\dfrac{p^2}{2m}t - px \right)\right) $ $ f(p) = \dfrac{1}{(2\pi)^{1/4} \sqrt{\sigma_p}}e^\left( -\dfrac{(p - p_0)^2}{4{\sigma_p}^2}\right) $ I have tried the following in sage thus far: Sage keeps complaining about requiring assumptions that I can't easily provide. Here is a sample output: My question: how would you do integrals like this in Sage? Is my fundamental approach correct? |

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