Chaos In A Potential Well And Its Quantum Manifestation

After the middle of the 20th century, the theory of chaos had developed rapidly. Chaos theory breaks the map of motion determination in classical physics, and points out that the world is unpredictable even Newton laws can be used. Not only on physics and mathematics, but also on other subjects, such as social science, chaos theory has made a greet success.From 1980s, researchers began to study quantum manifestation in quantum system. Though some achievements have been made on spectrum statistic and wave function analyses, we still can't explain what the essence of quantum chaos is clearly. We have done following work in this paper1. With the help of Poincare section, we study chaos characters' of a system in a well, with different parameters.2. We used the numerical computation to study the spectrum statistic of the system that we referred.3. Comparing the wave function with the unstable periodic orbits, we tried to study the "SCARS"...