Petar Mali said:[tex]\sum^{3N}_{i=1}\frac{p^2_i}{2m}\leq E[/tex]
Why I can write this inequality? Is this [tex]E[/tex] energy of system?
A system of identical particles refers to a collection of particles that have the same physical properties, such as mass, charge, and spin. These particles can be either atoms, molecules, or subatomic particles, and their behavior is governed by the same laws of physics.
The main characteristic of a system of identical particles is that each particle in the system has the same properties, and therefore, they are indistinguishable from each other. This means that one cannot track the individual motion of each particle, and the system must be analyzed as a whole.
Systems of identical particles are used in many areas of scientific research, such as in the study of quantum mechanics, statistical mechanics, and fluid dynamics. These systems allow scientists to understand the behavior of complex systems and make predictions about their properties and interactions.
The main difference between these two types of systems is that identical particles have the same physical properties, while distinguishable particles have different properties. This means that identical particles cannot be differentiated from each other, while distinguishable particles can be tracked and studied individually.
Scientists use mathematical models and theories, such as the Bose-Einstein statistics or the Fermi-Dirac statistics, to describe and understand the behavior of systems of identical particles. These theories take into account the indistinguishability of the particles and allow for a more accurate analysis of their behavior.