Physics – Quantum Physics
Scientific paper
2008-12-22
Physics
Quantum Physics
14 pages
Scientific paper
We have developed a simple method to solve anharmonic oscillators equations. The idea of our method is mainly based on the partitioning of the potential curve into (n+1) small intervals, solving the Schr\"odinger equation in each subintervals, and writing the continuity conditions of each solutions at each subintervals boundary, which leads to the energy quantification condition, so to the energy levels, and finally, one can calculate the exact wave function associated to each energy level. Our method has been applied to three examples: the well-known square well, the bounded and unbounded harmonic oscillators, the Morse potential, and some anharmonic oscillators bounded by two infinite walls. Our method is more realistic, simpler, with high degree of accuracy, both satisfactory and not computationally complicated, and applicable for any forms of potential. Our results agree very well with the preceding ones.
Maiz F.
Nasr Mustafa
No associations
LandOfFree
The Bounded Anharmonic Oscillators: a simple approach 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 Bounded Anharmonic Oscillators: a simple approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Bounded Anharmonic Oscillators: a simple approach will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-538285