Group theory is a branch of mathematics that studies the properties and interactions of groups, which are sets of elements that follow certain rules or operations.
Group theory is used in quantum mechanics to describe the symmetries and transformations of systems, such as atoms and molecules, in order to make predictions about their behavior and properties.
Some examples of groups in quantum mechanics include the rotation group, which describes the rotational symmetries of a system, and the permutation group, which describes the rearrangements of identical particles.
Group theory is important in quantum mechanics because it helps us understand the underlying symmetries and patterns in physical systems, allowing us to make predictions and solve complex problems more efficiently.
Group theory is used in various areas of quantum mechanics, such as in the study of molecular structure, atomic nuclei, and particle interactions. It also has applications in fields such as chemistry, materials science, and condensed matter physics.