How Can We Prove E=hf Using Basic Physics Knowledge?

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Discussion Overview

The discussion centers around the derivation of the equation E=hf, exploring whether it can be proven using basic physics knowledge without assumptions. Participants express varying levels of understanding and approaches to the formula's origins in quantum physics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant seeks a proof of E=hf without assumptions, expressing confusion about its implications in quantum physics.
  • Another participant suggests that deriving E=hf from foundational principles may not be fair, as the formula is often treated as an assumption in quantum mechanics.
  • A different participant claims that E=hf was derived from experimental evidence, likening it to a physics axiom, while acknowledging the challenge of deriving it from classical physics.
  • One participant mentions that E=hf can be empirically deduced through a photoelectric experiment and relates it to the behavior of matter waves.
  • Another participant provides a mathematical manipulation showing the relationship between energy, frequency, and wavelength, leading to E=hf.
  • There is a note that Planck's constant was derived from experiments, and some constants in physics are not derived from first principles.

Areas of Agreement / Disagreement

Participants express differing views on the derivation of E=hf, with some arguing it is based on experimental evidence while others believe it cannot be derived without assumptions. The discussion remains unresolved regarding a consensus on how to prove the equation.

Contextual Notes

Participants highlight the dependence on experimental validation and the challenge of deriving the equation from classical physics principles. There are also references to the historical context of the formula's acceptance in quantum mechanics.

killer120
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then i want to know how to prove E=hf without any assumption but with our basic physics knowledge to prove the formula is actually explaining quantum physics theory....i still blur about the formula for quantum physics...thanks if someone help me out!
 
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In principle, you could "derive" it from other stuff, either using a Shrodinger-like equation, or a correspondance principle + symmetry arguments "a la Noether"... well. But I think that would not be fair. The formula was taken as an assumption, then we built a lot of stuff considering it correct, then we come up with 20-50 years of theoretical deepening, quantum gauge fields etc... and then we can come back and claim to derive E=h\nu. Looks pretty much like cheating to me... Are you researching something new in the foundation of quantum mechanics ?
 
The formula, as my understanding goes, was derived from experimentation. It is like a physics axiom. I have done this experiment myself and I found h to a good number of decimal places. I can't think of a way to derive it from classical physics though. Will have a think and probably realize it was simple all along. :biggrin:

The Bob
 
The equation E = hf can be empirically deduced for light waves with a simple photoelectric experiment. I think I even did it once back in college. In the context of quantum mechanics, this is taken as an assumption in the case of matter waves. Basically we just assume that matter waves behave like light waves. And from this, as well as the de Broglie relation, we get the Schrödinger Equation and all of quantum mechanics.
 
Simple:

E=hc/\lambda
c=\nu\lambda
so E=h\nu
 
Planck derived his constant from experiment, as described here: - http://en.wikipedia.org/wiki/Planck's_constant

Some other constants and formulae we use in physics have not yet been deduced from first priciples.
Newton's laws.
Maxwell's equations.
The Schrödinger equation.
 

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