GaussianWellenpaket
A Gaussian wave packet is a fundamental concept in quantum mechanics representing a localized wave. It is formed by the superposition of many plane waves, each with a slightly different wave vector. The key characteristic of a Gaussian wave packet is that its amplitude is described by a Gaussian function in both position and momentum space. This property is a direct consequence of the Heisenberg uncertainty principle, which states that a particle cannot simultaneously have a precisely defined position and momentum.
Mathematically, the wave function of a Gaussian wave packet at time t=0 can be represented by a
The Gaussian wave packet is a useful theoretical tool because it is exactly solvable and provides a