What is the physical meaning of this eqn

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In summary, the conversation is about a research on the wave function, specifically on changing the power on the variable x. There is a question about the physical meaning when x is raised to a certain power, with a response noting that if the power is odd and not equal to 1, it can be referred to as a non-linear oscillator. Lastly, there is a correction on the terminology of the variable, which should not be called a wavefunction.
  • #1
MarkB
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I am doing a research about the wave function. I am planning on take ing teh way function and changing the power on the x.
m(d^(2)x/dt^(2)) + kx^n =0

What is the physical meaning when you do make the x rasied to some power?

Thanks
 
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  • #2
If n is not 1, but odd, you could call it a non-linear oscillator.
 
  • #3
MarkB said:
I am doing a research about the wave function. I am planning on take ing teh way function and changing the power on the x.
m(d^(2)x/dt^(2)) + kx^n =0

What is the physical meaning when you do make the x rasied to some power?

Thanks
Arildno gave a good answer.
Note: you should not call x(t) a "wavefunction". A wavefunction would be, say y(x,t) for a transverse wave on a string (as one example).
 

What is the physical meaning of this equation?

The physical meaning of an equation refers to the relationship between the different variables and quantities involved in the equation. It describes how these variables are related to each other in a real-world scenario.

Why is it important to understand the physical meaning of an equation?

Understanding the physical meaning of an equation is crucial in order to apply it correctly and interpret the results accurately. It also helps in making connections between different concepts and theories in science.

How can one determine the physical meaning of an equation?

To determine the physical meaning of an equation, one must carefully examine the units and symbols used in the equation. This can provide clues about the quantities being described and how they are related to each other.

Can the physical meaning of an equation change?

Yes, the physical meaning of an equation can change depending on the context in which it is being used. For example, the same equation may have a different physical meaning in the field of mechanics compared to thermodynamics.

What happens if one does not understand the physical meaning of an equation?

If one does not understand the physical meaning of an equation, they may misuse it or misinterpret the results. This can lead to incorrect conclusions and hinder progress in scientific research.

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