Spin and identical particles

Wolfgang Ernst Friederich Pauli

Man Bao, Y. M. Zhao, A. Arima

In this paper we study the number of states with given spin for identical particles, denoted as ${D}_{I}^{n}(l)$ for bosons and as ${\mathcal{D}}_{I}^{n}(j)$ for fermions, where $I$ is the total angular momentum of the system, $n$ is the particle number, $l$ is the spin of a single boson, and $j$ is the spin of a single fermion. We derive relations of ${D}_{I}^{n}(l)$ and ${\mathcal{D}}_{I}^{n}(j)$; in particular, we obtain recursive and explicit formulas of ${D}_{I}^{n}(l)$ and ${\mathcal{D}}_{I}^{n}(j)$ in terms of those for $n\ensuremath{-}1$ particles and apply them to systems of two, three, and five identical particles.

Xing Li

Scattering is an important phenomenon of microscopic particle's interaction. The identical particles are the particles with inherent identical character in mass,electric charge,spin,etc. They show some special characteristic in their scattering. In this paper,the identical particles' scattering has been analysed from the symmetry of wave function, scattering cross - section and probabiliy. A comparison is made betwwen scattering of the identical particles and that of the non - identical particles.

S. Rajasekar, R. Velusamy

Two particles are said to be identical when it is not possible to distinguish one particle from the other particle with their inherent physical properties such as mass, charge, spin, etc. Study of identical particles is important for two reasons: 1. Many-body systems contain usually identical particles and 2. they give rise quantum mechanical phenomena that have no classical analogues.