Complex conjugate of wave function

In summary, the complex conjugate of a wave function (psi*) describes the time-reversed wave function and is not exactly the same as psi. It has mathematical significance and no physical significance. The time reversal operator, being an anti-unitary operator, preserves fundamental commutation relations.
  • #1
Amith2006
427
2
A wave function(psi) is a mathematical quantity which gives complete information about the state of a system at a particular instant of time. But what information does the complex conjugate of a wave function(psi*) give? Does it represent the same state as psi? Or does it just have a mathematical significance and no physical significance?
 
Physics news on Phys.org
  • #2
it's the same thing
 
  • #3
thanx.
 
  • #4
Amith2006 said:
thanx.


It's not exactly the "same thing". The c.c. wavefunction describes the time-reversed wavefunction (travelling backward in time).
 
  • #5
Maaneli said:
It's not exactly the "same thing". The c.c. wavefunction describes the time-reversed wavefunction (travelling backward in time).

Thats great! After u mentioned about time reversal, I had a look at time reversal operator and noticed the same thing. Also, time reversal operator being an anti-unitary operator preserves fundamental commutation relations, isn't it?
 

FAQ: Complex conjugate of wave function

What is the complex conjugate of a wave function?

The complex conjugate of a wave function is a mathematical operation that involves taking the complex conjugate of each component of the wave function. In simpler terms, it is the process of changing the sign of the imaginary part of the wave function.

Why is the complex conjugate of a wave function important?

The complex conjugate of a wave function is important because it allows us to calculate certain physical properties of a quantum system, such as the probability of finding a particle in a certain location. It also plays a crucial role in quantum mechanics equations and calculations.

What is the difference between a wave function and its complex conjugate?

The wave function and its complex conjugate have the same magnitude but differ in phase. This means that they have the same amplitude but their peaks and troughs are in opposite positions, resulting in a different overall shape.

How is the complex conjugate of a wave function represented mathematically?

The complex conjugate of a wave function is represented by adding a bar (or asterisk) to the symbol of the wave function, such as Ψ* for the complex conjugate of the wave function Ψ.

What is the physical significance of the complex conjugate of a wave function?

The complex conjugate of a wave function represents the probability amplitude or likelihood of finding a particle in a certain state or location. It is used in calculations to determine the probability of a particle's position or momentum in quantum mechanics.

Similar threads

Replies
14
Views
3K
Replies
9
Views
2K
Replies
5
Views
2K
Replies
17
Views
2K
Replies
61
Views
4K
Replies
5
Views
925
Replies
7
Views
2K
Replies
16
Views
2K
Replies
21
Views
1K
Back
Top