What does * mean and how is it used

  • Context: Undergrad 
  • Thread starter Thread starter chrismariesan
  • Start date Start date
  • Tags Tags
    Mean
Click For Summary

Discussion Overview

The discussion revolves around the notation of the asterisk (*) used in the context of hermitian operators and complex functions, specifically focusing on its meaning and application in equations involving wavefunctions.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the meaning of the asterisk (*) in equations involving functions, particularly in the context of hermitian operators.
  • Another participant proposes that the asterisk denotes complex conjugation, explaining that if f(x) is a wavefunction, then f*(x) represents its complex conjugate.
  • A participant clarifies that complex conjugation involves changing the sign of the imaginary part of the function, noting that it could become positive or remain zero.
  • A later reply reiterates the explanation of complex conjugation, emphasizing the change in the sign of the imaginary part to avoid any misunderstanding.

Areas of Agreement / Disagreement

Participants generally agree on the interpretation of the asterisk as indicating complex conjugation, but there is some variation in the clarity of the explanation regarding the implications of this operation.

Contextual Notes

The discussion does not resolve the participant's initial confusion about the application of the asterisk in equations, and there may be assumptions about prior knowledge that are not explicitly stated.

Who May Find This Useful

Students studying quantum mechanics or related fields who are encountering hermitian operators and complex functions may find this discussion relevant.

chrismariesan
Messages
3
Reaction score
0
I'm studying hermitian operators and in the equations it keeps using a * after a function i.e. f(x)*
I don't understand what it means and how it's used and why they keep moving it all around the equation...I know it's probably pretty easy and I just missed it in lecture but it's driving me crazy.
pleeeese help!:cry:
 
Physics news on Phys.org
The * stands for complex conjugatation. So, if f(x) is the wavefunction, then f*(x) is the complex conjugate of the wavefunction.

If you're still unsure, then give an example of it "moves around an equation" and someone can clear it up for you.
 
Complex conjugate means the imaginary part of the function becomes negative, in case you didn't know that.
 
CaptainQuaser said:
Complex conjugate means the imaginary part of the function becomes negative, in case you didn't know that.

Just to remove any possible room for error: conjugation changes the sign of the imaginary part, so it could become positive as well (or, indeed, remain zero).
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 15 ·
Replies
15
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 22 ·
Replies
22
Views
3K
  • · Replies 27 ·
Replies
27
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
18
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K