Time dependent perturbation(determination of order)

In summary, time dependent perturbation is a mathematical technique used to study the behavior of physical systems subjected to a time-varying perturbation. It is often used in quantum mechanics to determine the order of perturbation, which is done by analyzing the time-dependent Schrödinger equation and examining the resulting series expansion. It can be applied to any physical system as long as it meets certain criteria, and has various applications in fields such as quantum mechanics and condensed matter physics. However, there are limitations and assumptions in its use, such as the perturbation being small enough for the series expansion to converge and the system being in a state of equilibrium before the perturbation. It may also not accurately describe highly non-linear or strongly coupled systems.
  • #1
gaus12777
12
1
I have a question about time dependent perturbation.
In time dependent perturbation, unlike time independent perturbation, there is no lamda which is used for comparing order.
So, I`m confused how can I determine order.
Is there any explanation which use lambda or some other method for transparent order comparision?
 
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Related to Time dependent perturbation(determination of order)

1. What is time dependent perturbation and how does it relate to the determination of order?

Time dependent perturbation is a mathematical technique used to study the behavior of a physical system that is subjected to a time-varying perturbation. It is often used in quantum mechanics to determine the order of perturbation, which refers to the number of times the perturbation is applied to the system.

2. How is the order of perturbation determined using time dependent perturbation?

The order of perturbation is determined by analyzing the time-dependent Schrödinger equation, which describes the behavior of a quantum system. By solving this equation with the perturbation term included, the order of perturbation can be determined by examining the resulting series expansion.

3. Can time dependent perturbation be applied to any physical system?

Yes, time dependent perturbation can be applied to any physical system as long as the perturbation is time-dependent and the system can be described by the Schrödinger equation.

4. What are some real-world applications of time dependent perturbation?

Time dependent perturbation has many applications in various fields, such as quantum mechanics, atomic and molecular physics, and condensed matter physics. It is used to study the behavior of atoms and molecules in external fields, as well as to understand the dynamics of particles in a solid state system.

5. Are there any limitations or assumptions in the use of time dependent perturbation?

One limitation of time dependent perturbation is that it assumes the perturbation is small enough for the resulting series expansion to converge. It also assumes that the system is in a state of equilibrium before the perturbation is applied. Additionally, time dependent perturbation may not accurately describe systems that are highly non-linear or strongly coupled.

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