On the Eigenvalue Problem in One-Dimensional Mesoscopic Rings with Electron-Phonon Coupling
WANG Xiao-guang1,2, YU Rong-jin1, XIE Cheng-jun3
1Changchun Institute of Physics, Chinese Academy of Sciences, Changchun 130021
2Department of Computer Engineering, Changchun University, Changchun 130022
3Department of Physics, Jilin Teachers Colleage, Jilin 132011
On the Eigenvalue Problem in One-Dimensional Mesoscopic Rings with Electron-Phonon Coupling
WANG Xiao-guang1,2;YU Rong-jin1;XIE Cheng-jun3
1Changchun Institute of Physics, Chinese Academy of Sciences, Changchun 130021
2Department of Computer Engineering, Changchun University, Changchun 130022
3Department of Physics, Jilin Teachers Colleage, Jilin 132011
Abstract： By invoking the concept of displaced number state in quantum optics, the complete eigen-states in one-dimensional mesoscopic rings with electron-phonon coupling are abtained and the eignevalues followed. It is shown that the eigenvalues and persistent current depend on both coupling strength and phonon number.
WANG Xiao-guang;YU Rong-jin;XIE Cheng-jun. On the Eigenvalue Problem in One-Dimensional Mesoscopic Rings with Electron-Phonon Coupling[J]. 中国物理快报, 1997, 14(6): 401-404.
WANG Xiao-guang, YU Rong-jin, XIE Cheng-jun. On the Eigenvalue Problem in One-Dimensional Mesoscopic Rings with Electron-Phonon Coupling. Chin. Phys. Lett., 1997, 14(6): 401-404.
1997, Vol. 14 
