Energy Level Sets for the Morse Potential

Details Energy Level Sets for the Morse Potential Energy Level Sets for the Morse Potential

2004-11-21

arxiv.org/abs/quant-ph/0411159v2

Physics

Quantum Physics

Scientific paper

In continuation of our previous work investigating the possibility of the use of the Level Set Method in quantum control, we here present some numerical results for a Morse potential. We find that a proper treatment of the Morse potential eigenfunctions and eigenvalues for the case of a system with a small number of bound energy levels, the anharmonic perturbative approximation is actually invalid. We, therefore, use a Runge-Kutta integration method that gives more plausible results. We also calculate the dipole moment for the transitions between the two levels with our eigenfunctions and find that there is a critical depth of the potential. Finally we find the level sets giving equal expectation values of the energy, and comment on the unitary operators needed to make transitions from any level set to another.

Affiliated with

Also associated with

No associations

Rating

Energy Level Sets for the Morse Potential 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 Energy Level Sets for the Morse Potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy Level Sets for the Morse Potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-590741