APPLICATION OF BEAM PROPAGATION METHOD IN QUANTUM MECHANICS AND ITS NUMERICAL SIMULATION

Wave propagation algorithm is a common method to study electromagnetic field propagation. Quantum wave propagation algorithm is an improved algorithm based on wave propagation algorithm to calculate the evolution of schrodinger equation in quantum mechanics. This paper mainly introduces the general idea of quantum wave propagation algorithm, and presents the general analysis process by taking one-dimensional infinite deep potential well, one-dimensional square potential barrier and time-dependent Schrodinger equation as examples. By comparing with the strict analytical solution of Schrodinger equation, the evolution image of probability wave function of micro particles with time is given, which verifies the correctness and effectiveness of the algorithm. The programming of quantum wave algorithm is not complicated, and has the characteristics of simple structure and strong practicability.