Process of information transmission in one-dimensional nano-microstructure

Closed-orbit theory is extended to interpret a kind of new classical-quantum correspondence principle, in term of eigenvalues and the eigenfunctions. The relation of the classical orbit and the quantum mechanics of dynamical behavior is examined in the system of one-dimensional nano-microstructure. The research proposed that the Fourier transformation of the quantum spectrum function contains a lot of information about the classical orbits of a particle from one point to another. In this paper, we describe the physical ideas under-lying the closed-orbit theory, and we present our calculations based upon the theory.