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Apr 28 '21 at 16:14 comment added davidhigh No, that's not the problem here (even if Mathematica likely will use a method that doesnt preserve the norm). The deviation is too large. Look, you initial wavepaket is peaked at 0.4, and has a width of about 2.5. Your final wavepacket has the same peak height, but a much larger width. No integrator whatsoever should show such deviations. I don't see a mistake in your code, unfortunately. Maybe you could comment again about the difference between bsize=655 and bsize=656? Is there any?
Apr 28 '21 at 6:53 comment added LongJohn Therefore the problem is that Mathematica is using a numerical method that doesn't preserve the norm?
Apr 27 '21 at 18:56 history answered davidhigh CC BY-SA 4.0