How to make relativistic correction to perturbation?

In summary, a relativistic correction in perturbation theory is a mathematical adjustment made to account for the effects of special relativity on a system. These corrections are necessary in perturbation calculations to accurately reflect the behavior of systems with high speeds or strong gravitational fields. To calculate these corrections, special relativity equations are used to adjust the Hamiltonian of the system. Some examples of systems that require relativistic corrections include particles moving at high speeds and systems with strong gravitational fields. However, these corrections are not always necessary and can be neglected for systems with low speeds and weak gravity.
  • #1
zhanhai
69
0
I want to know about relativistic correction to perturbation.

I searched but failed to find any teaching on this topic. Is it true that we just need to replace the non-relativistic Hamiltonian perturbation terms with the relativistic ones while leaving the perturbation formulae unchanged?

Thank for all reply and comments.

Regards,
 
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  • #2
What calculation do you have on mind?
 

Related to How to make relativistic correction to perturbation?

1. What is a relativistic correction in perturbation theory?

A relativistic correction in perturbation theory is a mathematical adjustment made to account for the effects of special relativity on a system. This correction takes into consideration the speed of an object approaching the speed of light and the resulting changes in time and space measurements.

2. Why is it necessary to make relativistic corrections in perturbation calculations?

Relativistic corrections are necessary in perturbation calculations to account for the high speeds and energies involved in certain physical systems. Neglecting these corrections can lead to inaccuracies in the results and may not accurately reflect the behavior of the system.

3. How do you calculate relativistic corrections in perturbation theory?

To calculate relativistic corrections in perturbation theory, one must use special relativity equations to adjust the Hamiltonian of the system. This new Hamiltonian, which includes relativistic effects, can then be used to calculate the perturbation corrections in the usual manner.

4. What are some examples of systems that require relativistic corrections in perturbation theory?

Some examples of systems that require relativistic corrections in perturbation theory include particles moving at high speeds, such as electrons in an atom or particles in a particle accelerator. Other examples include systems with strong gravitational fields, such as black holes or neutron stars.

5. Are relativistic corrections always necessary in perturbation theory?

No, relativistic corrections are not always necessary in perturbation theory. They are only needed when the system involves high speeds or strong gravitational fields. For systems with low speeds and weak gravity, the effects of special relativity are negligible and do not need to be considered in perturbation calculations.

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