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Apr 4, 2023 at 21:34 comment added Miyase @Pradyuman I know, you said so above. But you don't provide any detail about the author's process. If possible edit your question with additional details. Or try to narrow down your question to one specific aspect.
Apr 4, 2023 at 19:17 comment added user324939 The author is taking a configuration space of particles and deriving Schrodinger equation using action, it has nothing to do with harmonic oscillator, sorry for not adding much details.
Apr 4, 2023 at 19:09 comment added Miyase @Pradyuman The harmonic oscillator naturally emerges from the Schrödinger equations when you're choosing a stationary basis. If the author assumes that a given wave has a defined energy E, then it has to be this basis.
Apr 4, 2023 at 19:08 comment added Miyase @Pradyuman If that's the case, your question is missing a lot of context. As it stands, it seems that the author pulls this refractive index out of thin air. Moreover, how does he define those waves if they aren't solutions to a given equation? Please edit your question to add more detail.
Apr 4, 2023 at 19:03 comment added user324939 Well you got it the other way, the author is using these arguments to prove Schrodinger equation
Apr 4, 2023 at 18:53 history answered Miyase CC BY-SA 4.0