Transition Decomposition of Quantum Mechanical Evolution

Details Transition Decomposition of Quantum Mechanical Evolution Transition Decomposition of Quantum Mechanical Evolution

2011-01-21

arxiv.org/abs/1101.4180v1

Physics

Quantum Physics

Accepted for publication in Int. J. Theor. Phys

Scientific paper

We show that the existence of the family of self-adjoint Lyapunov operators introduced in [J. Math. Phys. 51, 022104 (2010)] allows for the decomposition of the state of a quantum mechanical system into two parts: A past time asymptote, which is asymptotic to the state of the system at t goes to minus infinity and vanishes at t goes to plus infinity, and a future time asymptote, which is asymptotic to the state of the system at t goes to plus infinity and vanishes at t goes to minus infinity. We demonstrate the usefulness of this decomposition for the description of resonance phenomena by considering the resonance scattering of a particle off a square barrier potential. We show that the past time asymptote captures the behavior of the resonance. In particular, it exhibits the expected exponential decay law and spatial probability distribution.

Affiliated with

Also associated with

No associations

Rating

Transition Decomposition of Quantum Mechanical Evolution 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 Transition Decomposition of Quantum Mechanical Evolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transition Decomposition of Quantum Mechanical Evolution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19524