On the basis of the quantum invariant theory, we study the light propagating in the general optical fiber and obtain the exact solution of the Schrodinger-like equation for the sustem .

On the basis of the quantum invariant theory, we study the double quantum wells and find the exact solution for the system.

The dynamical evolution of mesoscopic LC[WTBZ] circuit with alternating source is discussed by quantum invariant theory.

The mesoscopic RLC circuit with a alternationg voltage source was discussed by quantum invariant theory.

According to the LR invariant theory, the mesoscopic RLC circuit driven by a alternating current source was discussed.

The relation between the solutions of the Schrdinger equation for a non-degenerate parametric down-conversion system is investigated,one was obtained by the Lewis-Riesenfeld invariant theory,and another one by the entangled state representation in Fan et al.

By using the Lewis-Riesenfeld invariant theory,we study the dynamical and geometric phases factors in a generalized time-dependent Jaynes-Cummings model.

Energy spectrum of non-identical coupled harmonic oscillators is given by using quantum transformation theory.

Using the canonical transformation and Lewis and Riesenfeld quantum invariant theory,the excat wave function of a harmonic oscillator with time-dependent coefficient of damping is obtained.

Using the Lewis-Riesenfeld′s quantum invariant theory,the Lewis-Riesenfeld phases for a time-dependent frequency harmonic oscillator,which is confined in an infinite well with a moving wall,are calculated.

The important influence of Einstein to the development of the quantum theory;

Couple the Quantum Theory and Gray System Theory in Software Radio Technology;

This paper discusses the nature of relativity theory, promotive actions of space-time symmetry’s principles and geometrodynamical ideas on the developments of quantum theory and cosmology.