Why is there no time dependent a_1^{\dagger}(t) in the Srednicki equation 5.10?

  • Context: Graduate 
  • Thread starter Thread starter vaibhavtewari
  • Start date Start date
  • Tags Tags
    Srednicki
Click For Summary

Discussion Overview

The discussion revolves around the absence of a time-dependent operator \( a_1^{\dagger}(t) \) in Srednicki's equation 5.10, contrasting it with the time-independent operator defined in equation 5.6. Participants seek clarification on the implications of this difference and its relevance to the equations presented.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant notes that in equation 5.10, Srednicki uses the same definition as in equation 5.6, which is time-independent, and questions why a new time-dependent \( a_1^{\dagger}(t) \) is not introduced.
  • Another participant mentions that just before equation 5-8, \( a^{\dagger}(k) \) becomes time-dependent, implying that \( a_1^{\dagger} \) should also reflect this change.
  • A participant expresses gratitude for the clarification and acknowledges the need to interpret the material more deeply.
  • Another participant requests an explanation of a specific paragraph related to the implications of certain conditions in the equations.
  • One participant suggests that another should attempt to work through the problem independently, indicating a lack of clarity on the issue at hand.
  • A participant expresses their ongoing effort to understand the material and appreciates the assistance offered by others.

Areas of Agreement / Disagreement

Participants appear to have differing levels of understanding regarding the time dependence of the operators, with some expressing confusion and others attempting to clarify the situation. The discussion remains unresolved as participants seek further explanations.

Contextual Notes

There are indications of missing assumptions regarding the definitions of the operators and their time dependence, as well as unresolved questions about specific paragraphs in the text that may affect understanding.

vaibhavtewari
Messages
63
Reaction score
0
In equation 5.10, second line srednicki uses the same definition as eq 5.6, while 5.6 is time independent [tex]a_1^{\dagger}(k)[/tex] and in 5.10 we have to use the new time dependent [tex]a_1^{\dagger}(t)[/tex] . Why don't we have a new [tex]a_1^{\dagger}(t)[/tex], which say explicitly depends on t ?

I will be glad if someone can explain :)
 
Physics news on Phys.org
just before eq 5-8:

One complication is that a†(k) will no longer be time independent, and so a†1, eq. (5.6),
becomes time dependent as well.
 
thankyou for pointing out, I should read between the lines..
 
It will be very kind if you can also explain how to understand paragraph starting with "We would like ... is not zero" on page 39, after equation 5.17
 
try to work it out, i have no idea where you are stuck
 
I am working on it, thanks for you help :)
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
7K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K