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Thanks so much for your enlightening comment! > The difficulty is purely in having a properly defined wave function evolution and that is on its way to being s
by codethief 3y ago
Thanks so much for your enlightening comment!
> The difficulty is purely in having a properly defined wave function evolution and that is on its way to being solved.
Interesting, could you provide some references?
- jostylr 3y agoHere are a some papers: Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions https://arxiv.org/abs/1506.00497 https://arxiv.org/abs/1506.00497 This is perhaps the first of the papers and so may be a good place to start. Bohmian Trajectories for Hamiltonians with Interior-Boundary Condition https://arxiv.org/abs/1809.10235 https://arxiv.org/abs/1809.10235 This is the Bohmian part of the story. Multi-Time Wave Functions https://arxiv.org/abs/1702.05282 https://arxiv.org/abs/1702.05282 This explains the trickiness of having interactions with multi-time wave functions (space-time suggests having multi-time wave functions and no single time). Creation Rate of Dirac Particles at a Point Source https://arxiv.org/abs/2211.16606 https://arxiv.org/abs/2211.16606 This seems to suggest that there is a kind of spiral approach from/to the point of creation/annihilation. --- The authors have done a variety of papers on this. A key phrase they use is Interior-Boundary Conditions. They also released a book based on a course covering some of these ideas: Multi-time Wave Functions, An Introduction https://link.springer.com/book/10.1007/978-3-030-60691-6 https://link.springer.com/book/10.1007/978-3-030-60691-6
- codethief 3y agoThanks so much!