Timeline for Any reason why the Lagrangian just happens to show up in the path integral?
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| Mar 28, 2022 at 21:53 | comment | added | ACuriousMind♦ | @EggMan Of course it's all interconnected, but it is a matter of taste which of the statements of classical mechanics are "axioms" and which are "derived" statements. I'm just saying there's nothing really "quantum" about the action showing up there. | |
| Mar 28, 2022 at 18:09 | comment | added | Egg Man | So the action shows up because it's the quantity which "prefers" the classical path. And the Lagrangian is just its time derivative by definition. But wouldn't you say that the reason action "prefers" the classical path in the first place is tied to it being the integral of the Legendre transform of the Hamiltonian? I mean..that is the math that "encodes" the principle of stationary action. | |
| Mar 28, 2022 at 17:57 | history | edited | ACuriousMind♦ | CC BY-SA 4.0 |
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| Mar 28, 2022 at 17:50 | history | answered | ACuriousMind♦ | CC BY-SA 4.0 |