Quantum Spectra and Classical Orbits in Nano-Microstructure
A kind of new classical-quantum correspondence principle is proposed using the idea of closed-orbit theory. The quantum spectrum function is introduced by means of the eigenvalues and the eigenfunctions in the system of one-dimensional nano-microstructure. The Fourier transformation of the quantum spectrum function is found corresponding with the classical orbits in the system. These results give new evidence about the classical-quantum correspondence. All the methods and results can be used in a lot of other systems, including some two-dimensional and three-dimensional systems. The researches about these systems are very important in the field of applied science, for example, molecular reaction dynamics and quantum information.
Guojun Zhang and Jessica Xu
J. Lu and X. M. Wang, "Quantum Spectra and Classical Orbits in Nano-Microstructure", Advanced Materials Research, Vols. 160-162, pp. 625-629, 2011