A new way to calculate the nonzero temperature quantum fluctuations of the time-dependent harmonicoscillator is proposed and the properties of squeezing are exactly given. The method is applied to the capacitive coupl...A new way to calculate the nonzero temperature quantum fluctuations of the time-dependent harmonicoscillator is proposed and the properties of squeezing are exactly given. The method is applied to the capacitive coupledelectric circuit. It is explicitly shown that squeezing can appear and the squeezing parameters are related to the physicalquantities of the coupled circuit.展开更多
With the strong-field scheme and trigonal bases, by diagonalizing the complete d^3 energy matrix in a trigonally distorted cubic-field, the energy spectra and wavefunctions of YAl3（BO3）4：Cr^3＋ have been calculated...With the strong-field scheme and trigonal bases, by diagonalizing the complete d^3 energy matrix in a trigonally distorted cubic-field, the energy spectra and wavefunctions of YAl3（BO3）4：Cr^3＋ have been calculated. The rates of change of levels with respect to various parameters and the contributions to levels from various parameters are calculated, and the physical origins of various levels or splittings have been clearly and quantitatively shown. By using the wavefunctions obtained from diagonalizing the complete energy matrix, the g factors of the ground state of YAl3 （BO3 ）4;Cr^3＋ have been evaluated. The calculated results are in good agreement with the optical-spectral and EPR experimental data. It is demonstrated that the bonding between Cr^3＋ and ligands （O^2-） is ionic.展开更多
文摘A new way to calculate the nonzero temperature quantum fluctuations of the time-dependent harmonicoscillator is proposed and the properties of squeezing are exactly given. The method is applied to the capacitive coupledelectric circuit. It is explicitly shown that squeezing can appear and the squeezing parameters are related to the physicalquantities of the coupled circuit.
基金The author would like to thank professor Ma DongPing for his kind guidance and helpful discussions.
文摘With the strong-field scheme and trigonal bases, by diagonalizing the complete d^3 energy matrix in a trigonally distorted cubic-field, the energy spectra and wavefunctions of YAl3（BO3）4：Cr^3＋ have been calculated. The rates of change of levels with respect to various parameters and the contributions to levels from various parameters are calculated, and the physical origins of various levels or splittings have been clearly and quantitatively shown. By using the wavefunctions obtained from diagonalizing the complete energy matrix, the g factors of the ground state of YAl3 （BO3 ）4;Cr^3＋ have been evaluated. The calculated results are in good agreement with the optical-spectral and EPR experimental data. It is demonstrated that the bonding between Cr^3＋ and ligands （O^2-） is ionic.
