How does one derive E = hf from H = P.E. + K.E. and iħ∂Ψ∕∂t = HΨ?

How does one derive the Planck-Einstein relation (E= hf) from the total energy (H) equation and from the Schrödinger equation?

P.E. indicates potential energy, and K.E. indicates kinetic energy. And H indicates the Hamiltonian…

Hopefully, we can produce an affirmative answer to our question soon. And that question is a good start in our quest to advance the theory of energy.

Good luck! 🙂

Hints: Think massless or almost massless photons. Think Lagrangian which is defined as Kinetic Energy (K.E.) – Potential Energy (P.E.) And finally, think the theory of relativity.

Remark: Gravity (spacetime) is quantized! Amen! 🙂

Relevant Reference Link:

https://www.researchgate.net/profile/David_Cole29.

Published by Dave

I am currently a science researcher at researchgate.net (https://www.researchgate.net/profile/David_Cole29). My interests include number theory, mathematical analysis, and energy theory (physics)... And we (Cole, Montgomery, Lagarias, Odlyzko, Hardy, Riemann, Gauss, and other mathematicians) proved the Riemann Hypothesis! 🙂

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