Question about Schrodinger equation

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Discussion Overview

The discussion revolves around understanding the Schrödinger equation, specifically the notation used in it, particularly the symbol ∂, which denotes partial derivatives. Participants are exploring the implications of this notation within the context of the equation.

Discussion Character

  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the meaning of the symbol ∂ in the Schrödinger equation.
  • Another participant identifies ∂ as representing a partial derivative and notes that the Schrödinger equation is a partial differential equation (PDE).
  • A later reply suggests that understanding partial derivatives requires knowledge of calculus, particularly multivariable calculus.
  • Further clarification is provided that a partial derivative involves differentiating a function with respect to one variable while treating other variables as constants.

Areas of Agreement / Disagreement

Participants appear to agree on the definition of ∂ as a partial derivative, but there is no consensus on the level of understanding of calculus required to grasp the concept fully.

Contextual Notes

Some participants assume familiarity with calculus concepts, which may limit the accessibility of the discussion for those without that background.

3m0k177y
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Ok, I understand the Schrödinger equation for the most part, the thing is though, I don't understand what ∂ means...
In the equation:(∂^2ψ/∂x^2)+8(pi)m/h^2(E-V)ψ=0
It pops up two times. The rest of the equation is kinda self explanatory, but I don't know what on Earth ∂ means
please, tell me, the ignorance is killing me.
 
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Partial derivative.
The Schrödinger equation is a partial differential equation (PDE).
As for what it means, I guess I'll leave it to you to explore yourself :)
 
here is a good description of the equation
 
Last edited by a moderator:
3m0k177y said:
Ok, I understand the Schrödinger equation for the most part, the thing is though, I don't understand what ∂ means...
In the equation:(∂^2ψ/∂x^2)+8(pi)m/h^2(E-V)ψ=0
It pops up two times. The rest of the equation is kinda self explanatory, but I don't know what on Earth ∂ means
please, tell me, the ignorance is killing me.

Partial derivative. Do you know calculus? Its part of calculus, multivariable that is.
 
Partial derivative i.e. if ψ is a function of two variables x and y, then it will be differentiated only with respect to x and the part of the function consisting of variable y will be treated as a constant. You may need to read up on it to fully grasp the concept of partial derivatives
 

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