2000/09/06 by C. Y. Chen, Cunxiao Chen, Chen, C. Y.
Physics and Astronomy · #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0009023
11 pages, 2 figures, Latex
arxiv created 2000/09/06 · arxiv updated 2009/12/01
The textbook treatment in that the wave function of a dynamical system is expanded in an eigenfunction series is investigated. With help of an elementary example and some mathematical theorems, it is revealed that in terms of solving the time-dependent Schrödinger equation the treatment involves in divergence trouble . The root reason behind the trouble is finally analyzed.