Timeline for Generating function for composition of symplectomorphisms
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Jun 10 at 19:51 | comment | added | user17945 | Glad it was helpful. I was surprised to hear ChatGPT could answer this, but I've just tried, and yes it does indeed. | |
Jun 10 at 14:11 | history | bounty ended | Dmitri Scheglov | ||
Jun 10 at 7:24 | vote | accept | Dmitri Scheglov | ||
Jun 10 at 7:18 | comment | added | Dmitri Scheglov | Nice answer. When I asked chatgpt, it suggested $F(q_1,q_3)=F_1(q_1,q_2)+F_2(q_2_q_3)$, where $q_2=q_2(q_1, q_3)$ is a minimizer of the sum above. I checked it for a pair of randomly chosen linear symplectic transformations and it was the case indeed. Of course, as you mentioned, it will not work universally, as, say identity transformation does not have qq generating function at all. | |
Jun 9 at 20:10 | history | edited | user17945 | CC BY-SA 4.0 |
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Jun 9 at 5:56 | history | edited | user17945 | CC BY-SA 4.0 |
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Jun 9 at 4:26 | history | answered | user17945 | CC BY-SA 4.0 |