Fips said:Hi
I was hoping someone could advise me on a textbook/platform where I can learn more about the perturbation theory applied to helium and the perturbation theory time depedant. Thanks
Perturbation theory is a mathematical method used to approximate the solutions of a complex problem by breaking it down into simpler, solvable parts. It is often used in physics and engineering to analyze systems that have small deviations from a known solution.
Perturbation theory has a wide range of applications, including in quantum mechanics, celestial mechanics, fluid dynamics, and electronics. It is also used in the study of chaos and non-linear systems.
Perturbation theory is based on the assumption that the perturbation, or deviation from the known solution, is small. This means that it may not be accurate for systems with large perturbations. Additionally, it may not work for systems with strong non-linearities or when the perturbation is not well-defined.
In quantum mechanics, perturbation theory is used to approximate the energy levels and wavefunctions of a system that has a small perturbation, such as an external electric or magnetic field. It allows for the calculation of these quantities without having to solve the Schrodinger equation exactly.
There are two main types of perturbation theory: time-independent and time-dependent. Time-independent perturbation theory is used when the perturbation is constant, while time-dependent perturbation theory is used when the perturbation varies with time. There are also higher-order perturbation theories that take into account larger perturbations and multiple perturbations simultaneously.