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MarkDPhysics avatar MarkDPhysics commented on June 1, 2024

Let me correct what I said above. I meant to say that the Bohmian velocity for the Gaussian wave packet at the center of the packet should move with about the same velocity as the overall wave packet. The phase velocity is different. I'm finding the Bohmian velocity is moving slower than the wave packet, but this might be a units problem. See for example Holland's book, eqn. 4.7.8. I assume that I need to use atomic units for both the time variable and the space coordinates, so that Bohmian Velocity = grad(S), otherwise there can be a unit-dependent factor multiplying the grad term which is hbar/mass in whatever units you have. But when I try and do that the Bohmian trajectories are moving slower than the wave packet center.

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marl0ny avatar marl0ny commented on June 1, 2024

It may also be possible that the wavelength used in your Gaussian wave packet is not large enough for the grid discretization to resolve. If that is the case perhaps you can try decreasing its initial average momentum. There may also be issues on your end with how you’re numerically integrating the particle’s trajectory.

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MarkDPhysics avatar MarkDPhysics commented on June 1, 2024

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