Very curious integral (overlap integral)

  • Thread starter Thread starter Ahmad Kishki
  • Start date Start date
  • Tags Tags
    Curious Integral
Click For Summary
SUMMARY

The discussion centers on the placement of "dx" in integral notation, clarifying that it can be positioned either at the front or back of the integrand without altering the meaning of the integral. Participants confirm that this flexibility in notation does not affect the mathematical outcome, emphasizing the equivalence of both placements. The conversation highlights a common misconception among learners regarding the significance of "dx" in integral calculus.

PREREQUISITES
  • Understanding of integral calculus concepts
  • Familiarity with mathematical notation
  • Basic knowledge of quantum mechanics terminology
  • Experience with calculus textbooks
NEXT STEPS
  • Research the properties of integrals in calculus
  • Explore the implications of notation in mathematical expressions
  • Study the role of "dx" in different types of integrals
  • Learn about common misconceptions in calculus education
USEFUL FOR

Students of mathematics, educators teaching calculus, and anyone interested in clarifying integral notation and its implications in mathematical contexts.

Ahmad Kishki
Messages
158
Reaction score
13
The dx actually precedes the function! What does that mean, please explain it simply, my qm book just brushed over it.
 
Physics news on Phys.org
Ahmad Kishki said:
The dx actually precedes the function! What does that mean, please explain it simply, my qm book just brushed over it.

Duke Ellington: "It don't mean a thing..."

You can put "dx" at the front or at the back of the integrand; there is no difference. They mean the same thing.
 
  • Like
Likes Ahmad Kishki
Quantum Defect said:
Duke Ellington: "It don't mean a thing..."

You can put "dx" at the front or at the back of the integrand; there is no difference. They mean the same thing.

My life is a lie :D thanks.
 

Similar threads

Undergrad What kind of integration is Berezin integration?
  • · Replies 7 ·
Replies
7
Views
1K
High School Does QM Use n-Dimensional or Infinite Dimensional Integrals?
  • · Replies 1 ·
Replies
1
Views
870
Undergrad What is the Complex Conjugate of a Hermitian Integral in QM?
  • · Replies 7 ·
Replies
7
Views
1K
Graduate Converting momentum sums to integrals in curved spacetime
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Lagrangian in the Path Integral
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad Do Bell Experiments Show Local Overlap of Wave Functions Before Measurement?
  • · Replies 72 ·
3
Replies
72
Views
6K
Graduate Probability flux integrated over all space is mean momentum?
  • · Replies 2 ·
Replies
2
Views
2K
Should the Units of a Constant Match the Integral Boundary Conditions?
  • · Replies 5 ·
Replies
5
Views
1K
Graduate What happens when an operator maps a vector out of the Hilbert space?
  • · Replies 59 ·
2
Replies
59
Views
5K
Undergrad "Packing of energy" question related to the ultraviolet catastrophe
  • · Replies 6 ·
Replies
6
Views
1K