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

  • Thread starter vaibhavtewari
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In summary, there is a new equation, 5.10, that uses the same definition as equation 5.6. However, in equation 5.10, the a_1^{\dagger}(k) becomes time dependent, while it was time independent in equation 5.6. The conversation also mentions a new a_1^{\dagger}(t) that explicitly depends on time, but it is not explained why it is not included. The conversation also refers to a complication where a†(k) becomes time dependent and asks for clarification on understanding a paragraph on page 39.
  • #1
vaibhavtewari
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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 :)
 
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  • #2
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.
 
  • #3
thankyou for pointing out, I should read between the lines..
 
  • #4
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
 
  • #5
try to work it out, i have no idea where you are stuck
 
  • #6
I am working on it, thanks for you help :)
 

What is the Srednicki equation 5.10?

The Srednicki equation 5.10 is a mathematical equation developed by physicist Mark Srednicki to describe the time evolution of a quantum system.

What does the equation represent?

The equation represents the change in the quantum state of a system over time. It takes into account the Hamiltonian operator, which describes the energy of the system, and the initial state of the system.

What is the significance of the Srednicki equation in quantum mechanics?

The Srednicki equation is significant in quantum mechanics as it allows for the prediction of the future state of a quantum system based on its initial state and the Hamiltonian operator. It is also used in many quantum field theories to describe the behavior of particles and fields.

How is the Srednicki equation 5.10 derived?

The Srednicki equation 5.10 is derived using the Schrödinger equation, which describes the time evolution of a quantum system. Srednicki's equation is a simplified version of the Schrödinger equation that is specifically applicable to systems with a large number of particles.

What are some applications of the Srednicki equation 5.10?

The Srednicki equation 5.10 has applications in various fields such as quantum mechanics, quantum field theory, and statistical mechanics. It is used to study the behavior of complex systems, such as many-body systems and quantum gases. It is also used in theoretical studies of quantum entanglement and quantum information processing.

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