Title :
The Transformation of Exponential Operators in Quantum Mechanics
Author :
Ao, Zhang ; Jia-Ling, Pu
Author_Institution :
Sci. Educ. Dept., Beijing Inst. of Graphic Commun., Beijing, China
Abstract :
It is very important to transform exponential operator to analytic equation in quantum mechanics. The general functions can be expressed as linear combinations of the exponential operators. It is regarded as the method of linear superposition. Three-dimensional Lie algebra is very useful for the transformation of exponential operator. By the way, one can obtain the diffusion constant which is very important for molecular crystal.
Keywords :
Lie algebras; differential equations; diffusion; quantum theory; differential equation; diffusion constant; exponential operator transformation; linear combinations; linear superposition method; molecular crystal; quantum mechanics; three-dimensional Lie algebra; Algebra; Crystals; Differential equations; Equations; Mathematical model; Quantum mechanics; Lie algebra; commutation relation; differential equation;
Conference_Titel :
Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2011 Tenth International Symposium on
Conference_Location :
Wuxi
Print_ISBN :
978-1-4577-0327-0
DOI :
10.1109/DCABES.2011.100
