Gaussian wave packets for quantum statistical mechanics

Salomon Sylvain Mizrahi

Salomon Sylvain Mizrahi

Zharko Tasev, Gjorgji Ivanovski

Salomon Sylvain Mizrahi

Kurt Schönhammer

The time dependence of one-dimensional quantum mechanical probability densities is presented when the potential in which a particle moves is suddenly changed, called a quench. Quantum quenches are mainly addressed, but a comparison with results for the dynamics in the framework of classical statistical mechanics is useful. Analytical results are presented when the initial and final potentials are harmonic oscillators. When the final potential vanishes, the problem reduces to the broadening of wave packets. A simple introduction to the concept of the Wigner function is presented, which allows a better understanding of the dynamics of general wave packets. It is pointed out how special the broadening of Gaussian wave packets is, the only example usually presented in quantum mechanics textbooks.

A.S. Majumdar, S.V. Mousavi, D. Home

Violation of the gravitational weak equivalence principle in quantum mechanics (WEQ) has been earlier studied using Gaussian wave packets in free fall.Here we study the effect of quantum statistics on the -Gaussian as well as non rrival time distribution of quantum particles computed through the probability current density.We show that a symmetrization or asymmetrization of the wave function impacts the arrival time distribution of wavepackets.The . the mass of the particles, and varies according to the statistics mean arrival time is dependent on