Creation operator problem

In summary, the conversation revolves around finding a solution for problem 3a) in a file that is difficult to read. The question also arises if integrating away the x-dependence in the number operator affects the Heisenberg equation.
  • #1
43
0
Anyone having an idea of how to solve problem 3a) file:///C:/Users/Administrator/Downloads/handin1%20(2).pdf ?

I've been stuck for a great while but have not idea.
 
Physics news on Phys.org
  • #2
on part 3b) is it correct to argue that since you integrate away the x-dependence in the number operator that according to the Heisenberg equation [H,N]=0 since both the partial derivative and total derivative of N is zero?
 
  • #3
You know, I'm having a great deal of difficulty reading that file. :w Maybe you could hold it up a little closer to *my* screen?
 
  • #4
Why can't you read the file? file:///C:/Users/administrator/Downloads/handin1%20(2).pdf
 
  • #5
befj0001 said:
Why can't you read the file? file:///C:/Users/administrator/Downloads/handin1%20(2).pdf
Because it's on your computer!
 

1. What is the creation operator problem?

The creation operator problem is a mathematical issue that arises in quantum mechanics when trying to define the creation operator for a system of particles. This operator represents the process of adding a new particle to the system, but it is difficult to define and can lead to inconsistencies in calculations.

2. Why is the creation operator problem important?

The creation operator problem is important because it affects the accuracy and reliability of calculations in quantum mechanics. If not properly addressed, it can lead to incorrect results and hinder the development of new theories and models in quantum physics.

3. How is the creation operator problem typically addressed?

The creation operator problem is typically addressed by using regularization techniques, which involve modifying the definition of the operator in a way that avoids mathematical inconsistencies. Another approach is to use alternative formulations of quantum mechanics, such as second quantization, which can provide a more rigorous treatment of the creation operator.

4. What are some potential solutions to the creation operator problem?

Some potential solutions to the creation operator problem include using different regularization methods, exploring alternative formulations of quantum mechanics, and developing new mathematical techniques specifically designed to address the issue. It is an ongoing area of research and there is no one definitive solution at this time.

5. How does the creation operator problem impact our understanding of the universe?

The creation operator problem has a significant impact on our understanding of the universe, particularly in the field of quantum mechanics. It highlights the limitations of our current mathematical models and the need for further research and development to better understand the fundamental building blocks of our universe.

Suggested for: Creation operator problem

Replies
11
Views
1K
Replies
0
Views
448
Replies
17
Views
1K
Replies
2
Views
798
Replies
8
Views
748
Replies
1
Views
1K
Back
Top