Question

Function of wave vector in case of free particle is

Answer 1

 physics, a free particle is a particle that, in some sense, is not bound by an external force, or equivalently not in a region where its potential energy varies. In classical physics, this means the particle is present in a "field-free" space. In quantum mechanics, it means a region of uniform potential, usually set to zero in the region of interest since potential can be arbitrarily set to zero at any point (or surface in three dimensions) in space.

Classical free particle

The classical free particle is characterized simply by a fixed velocity v. The momentum is given by



and the kinetic energy (equal to total energy) by



where m is the mass of the particle and v is the vector velocity of the particle.