The effect of linear terms in a quadratic Hamiltonian

Details The effect of linear terms in a quadratic Hamiltonian The effect of linear terms in a quadratic Hamiltonian

2009-06-19

arxiv.org/abs/0906.3571v1

Physics

Quantum Physics

3 pages

Scientific paper

For a non-relativistic particle subject to a Hamiltonian that is quadratic in position and momentum, with coefficients that may vary with time, it is shown that the effect of the linear terms in the Hamiltonian is just a spatial translation of the wave function and a change in its phase. The shifts in position and phase can be expressed in terms of classical trajectories. This simple effect of the linear terms is related to the fact that all moments about the centroid of the wave function evolve independently of the linear terms.

Affiliated with

Also associated with

No associations

Rating

The effect of linear terms in a quadratic Hamiltonian does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The effect of linear terms in a quadratic Hamiltonian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The effect of linear terms in a quadratic Hamiltonian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-400845