How would you define Frequency in terms of quantum model?

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Discussion Overview

The discussion revolves around defining frequency within the context of quantum mechanics, particularly in relation to photons and wavefunctions. Participants explore the concept of frequency as it applies to quantum models, addressing both theoretical and practical implications.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about how frequency applies to the quantum model, particularly in relation to waves.
  • Another suggests that frequency might relate to concepts like spin, though this connection is not clearly defined.
  • Questions are raised about what specifically is being referred to when discussing frequency—whether it pertains to photons or particles in a quantum well.
  • A participant notes that quantum mechanics describes a wavefunction associated with particles, emphasizing that it is the wave that has a frequency rather than the particle itself.
  • It is mentioned that the frequency of a photon is precisely defined and is related to its energy and momentum through specific equations.
  • Another participant challenges the idea of measuring frequency without uncertainty, suggesting that the precision of frequency measurement is influenced by the time of atomic transitions.

Areas of Agreement / Disagreement

Participants express differing views on the nature of frequency in quantum mechanics, particularly regarding its application to particles versus waves. There is no consensus on the implications of frequency measurement and its relationship to uncertainty.

Contextual Notes

Participants highlight limitations in understanding frequency in quantum mechanics, including the complexity of wavefunctions and the implications of measurement precision related to atomic transitions.

kokok
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How would you define Frequency in terms of quantum model?
hehe i found that for waves you can have it but how could the quantom model have frequency too?
im kinda confused..i knwo I am a noob just learn quantum theory
 
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HI kokok.

I think mybe you could not image that,because you can't,and nobody can either.It just have a Frequency.What is it? it related to something else.Just think about spin.Maybe they are the same at this point.
 
Frequency of what? Photons? Particle in a well?
 
frequency of photons
 
I'm only a first year undergrad so I should probably stress I've not actually been examined on even the elementary QM yet; and light is more complicated than 1st yr work because the Schroedinger equation isn't relativistic :rolleyes:

I'll have a go though :biggrin:

Quantum Mechanics describes a wavefunction that is associated with any particle. It doesn't make sense for the particle itself to have a frequency, only the wave associated with it.

This wave is intimately related mathemetically to the probability that the particle is found at a particular point when we try to detect it; I don't know how to format the equation on here, but you basically take the square of the modulus of the wavefunction to work out the probability that the wave will be found in an interval dx. The physical meaning (if any) of this wave is a hotly disputed topic, because it is in general a complex quantity (it contains the basic unit imaginary number i where i^2 = -1). But the frequency of this wave manifests itself in experiment in the superposition of waves.
 
The frequency of a photon is known exactly. It's inversely proportional to the momentum and proportional to the energy.

w=ck
P=hbar k
E=hbar w

There is no uncertainty constraint on measuring either the momentum or energy of a photon to arbitrary precision.
 
christianjb said:
The frequency of a photon is known exactly. It's inversely proportional to the momentum and proportional to the energy.
w=ck
P=hbar k
E=hbar w
There is no uncertainty constraint on measuring either the momentum or energy of a photon to arbitrary precision.
But, actually, there should be. For example, if a photon is emitted by transition of atomic electrons between two levels, frequency's precision should be proportional to transition's time.
 

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