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International Conference on Computer Research and Development

Process of information transmission in one-dimensional nano-microstructure

Xuemei Wang, Jun Lu

Published Mar 1, 2011• 0 citations
Publisher

Abstract

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.

DOI
10.1109/iccrd.2011.5764280

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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.
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.
A new quantum spectrum function is defined using the energy eigenvalues and eigenfunctions of a one-dimensional nana-microstructure system.As an example of the calculation of quantum spectrum function,the one-dimensional closed orbits motion of a billiard was considered.It is found that the Fourier transform of the quantum spectrum function corresponds with the classical closed-orbits in the system.These results give new evidence about the classical-quantum correspondence in the system of one-dimensional nana-microstructure.
The quantum spectrum function is introduced by means of the eigenvalues and the eigenfunctions in the system of varying 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. The researches about these systems are very important in the field of applied science, for example, quantum computer, quantum calculation, and quantum information.
Two-dimensional nanomaterials are becoming the focus of intensive research due to their novel physical properties and the potential applications in nanodevices. We define a quantum spectrum function using the eigenvalues and the eigenfunctions in the system of two-dimensional nanomaterials. We find that the Fourier transform of the quantum spectrum function reveals a lot of information of the classical orbits from one point to another for a particle in the two-dimensional nanomaterials. 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 one-dimensional and three-dimensional systems. The researches about these systems are very important in the field of applied science.