dextercioby said:Well, so you know to separate the PDE in cylindrical coordinates ?
The Schrodinger equation is a fundamental equation in quantum mechanics that describes how the quantum state of a physical system changes with time. It is named after Austrian physicist Erwin Schrodinger and is used to predict the probability of finding a particle in a certain position at a certain time.
The semi-inverse-law potential is a type of potential energy function that is commonly used in quantum mechanics to model the behavior of particles in a system. It is significant because it allows for the calculation of the energy levels of a system and provides insights into the behavior of quantum particles.
The Schrodinger equation is a differential equation that can be solved to obtain the energy levels of a particle in a semi-inverse-law potential. This involves applying boundary conditions and using mathematical techniques such as separation of variables and the eigenvalue equation.
The semi-inverse-law potential is a simplified model that is often used in quantum mechanics to study the behavior of particles in a system. While it may not accurately represent all real-world systems, it can provide useful insights and predictions for certain physical phenomena.
The Schrodinger equation and semi-inverse-law potential are powerful tools in quantum mechanics, but they do have limitations. They assume that particles are point-like and do not take into account relativistic effects. Additionally, they may not accurately describe certain systems with strong interactions or at very small or very large length scales.