Can someone explain what Eigenfrequency is? Trying to explain it to someone.

  • Context: Undergrad 
  • Thread starter Thread starter nukeman
  • Start date Start date
  • Tags Tags
    Explain
Click For Summary

Discussion Overview

The discussion revolves around the concept of eigenfrequency, particularly its application in biological systems and quantum mechanics. Participants explore whether eigenfrequency is relevant at the quantum level and how it relates to the natural frequencies of membrane structures in organisms.

Discussion Character

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

Main Points Raised

  • One participant is researching eigenfrequency in the context of measuring and changing the frequency of a membrane receptor in a biological organism, questioning its relevance at the quantum level.
  • Another participant suggests that changing the frequency of the membrane structure could be achieved by altering the stiffness of the material.
  • A participant mentions that eigenfrequencies can be understood as modes in a quantized oscillator and refers to the concept of eigenvalues.
  • It is proposed that different parts of a macroscopic membrane may have varying eigenfrequencies, which could average out to classical behavior.
  • One participant notes that eigenfrequencies can also arise from classical harmonic oscillators, where frequency solutions are considered eigenvalues.
  • A participant expresses uncertainty about mixing up aspects of the question regarding eigenfrequency.
  • Another participant states that quantum mechanical effects on the scale of a cell are highly improbable, indicating that the term eigenfrequency applies to any oscillating system, leading to a conditional answer based on interpretation.

Areas of Agreement / Disagreement

Participants exhibit a mix of agreement and disagreement regarding the applicability of eigenfrequency in quantum mechanics versus classical systems. There is no consensus on whether eigenfrequency is relevant at the quantum level for biological organisms.

Contextual Notes

There is some ambiguity regarding the interpretation of eigenfrequency in different contexts, including quantum mechanics and classical systems. The discussion reflects varying levels of understanding and assumptions about the relationship between eigenfrequency and biological structures.

nukeman
Messages
651
Reaction score
0
I have not got to this point in Physics yet, but I am trying to do a little research project on the side and this came up within the group (Yet no one really knew what they were talking about)

Someone asked if it applies at all on a quantum level?

Basically what we are trying to do is measure and change the frequency of a membrane receptor in a biological organism. Would eigenfrequency apply at all in anyway what so ever?
 
Physics news on Phys.org
Are you talking about the natural frequencies of the membrane structure? If you're trying to change the frequency, the easiest way is to alter the stiffness of the material. Not exactly sure what you're asking.
 
You'd get eigenfrequencies as modes in a quantized oscillator.
Look up "eigenvalue".

I'd imagine that an organism will be on the large side for quantum effects - different parts of a macroscopic membrane would have different eigenfrequencies and the whole lot would average out to the classical behavior.
 
Simon Bridge said:
You'd get eigenfrequencies as modes in a quantized oscillator.
Look up "eigenvalue".

I'd imagine that an organism will be on the large side for quantum effects - different parts of a macroscopic membrane would have different eigenfrequencies and the whole lot would average out to the classical behavior.

Well it doesn't need to be a quantized oscillator at all. Just solving the classical harmonic oscillator the frequency solutions are eigenvalues (since you're essentially diagonalizing a matrix).
 
Yeah - I had my hind brain nudging me on that ever since I wrote down "modes".
I think I am mixing up the two parts of the question.
 
QM effects on the scale of a cell would be highly improbable, to an extent that most people would regard as impossible.

There's a bit of confusion here because the term eigenfrequency applies to any oscillating system - not just QM. So the answer is 'yes' or 'no' depending on how you interpret the question.
 

Similar threads

  • · Replies 131 ·
5
Replies
131
Views
10K
  • · Replies 31 ·
2
Replies
31
Views
9K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 18 ·
Replies
18
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K