- #1
alemsalem
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are there examples in non-relativistic scattering off a central potential where the S-matrix can be calculated exactly?
Thanks!
Thanks!
The Exact S-matrix for Potential Scattering is a mathematical tool used in quantum mechanics to describe the scattering of particles in a potential field. It calculates the probability of a particle being scattered in a particular direction, taking into account the potential energy of the system.
The Exact S-matrix is calculated using the Schrödinger equation, which describes the evolution of a particle's wave function in a potential field. The S-matrix is then obtained by solving this equation for a specific scattering problem.
The Exact S-matrix is significant because it provides a complete and exact description of the scattering process in a potential field. This allows for precise predictions about the behavior of particles in a given potential, which is crucial for understanding various physical phenomena.
The Exact S-matrix is limited to non-relativistic systems and does not take into account the effects of quantum field theory. It also assumes a single potential field, which may not accurately represent more complex systems.
The Exact S-matrix has many applications, including in particle physics, atomic and molecular physics, and nuclear physics. It is used to study the properties of particles, understand the behavior of atoms and molecules, and even predict the structure of nuclei. It is also used in the development of new technologies, such as in the design of semiconductors and lasers.