General procedure of solving the time-dependent Schrödinger equation

Details General procedure of solving the time-dependent Schrödinger equation General procedure of solving the time-dependent Schrödinger equation

2000-09-04

arxiv.org/abs/quant-ph/0009015v2

Physics

Quantum Physics

15 pages, 2 figures, latex, Changed content

Scientific paper

A nonperturbative procedure of solving the time-dependent Schr\"odinger equation, called the multi-projection approach or phase dynamics of quantum mechanics, is derived and illustrated. In addition to introducing a method with that time-dependent systems become solvable (under the assumption that corresponding time-independent systems are solvable), the new approach unveils several misconcepts related to the usual wavefunction expansion and the standard perturbation theory.

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