Time eigenvectors and time operator are constructed from energy eigenvectors of system.Some features of them are described.Their applications to harmonic oscillating system and to double wave description of system are...Time eigenvectors and time operator are constructed from energy eigenvectors of system.Some features of them are described.Their applications to harmonic oscillating system and to double wave description of system are discussed.展开更多
By an exact renormalization method the trail problem on a regular fractal for the diffusion-limited aggregation is considered,and the mean square end-toend distance critical exponent v is obtained.It is indicated that...By an exact renormalization method the trail problem on a regular fractal for the diffusion-limited aggregation is considered,and the mean square end-toend distance critical exponent v is obtained.It is indicated that self-avoiding trails and self-avoiding walks are in different universality classes on this irreversible kinetic growth fractal.展开更多
基金Supported by the National Natural Science Foundation of China.
文摘Time eigenvectors and time operator are constructed from energy eigenvectors of system.Some features of them are described.Their applications to harmonic oscillating system and to double wave description of system are discussed.
基金supported by the Chinese Foundation of Doctor Education.
文摘By an exact renormalization method the trail problem on a regular fractal for the diffusion-limited aggregation is considered,and the mean square end-toend distance critical exponent v is obtained.It is indicated that self-avoiding trails and self-avoiding walks are in different universality classes on this irreversible kinetic growth fractal.