Solution of Schrödinger Equation Based on State Transition Matrix
Xing Yifan, Xiao Qinwen, Diyang Chu, Xice Sun, Jun Yong Wu · 2006
Based on the systematic discussion of normalization and the matrix representation of operator, we use state transition matrix to derive the solutions for stationary and non-stationary Schrodinger equation. Unlike the matrix representation of eigenstate in quantum information, this paper presents a matrix solution theory for superposition state, and provides a theoretical basis for applying the means of control to quantum systems.