Open AccessExact quantum solution for the general time-dependent linear potential and related problems
Author(s) -
Liang Mai-Lin,
Yu-Jing Sun
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.3663
Subject(s) - wave function , exact solutions in general relativity , quantum , equations of motion , motion (physics) , function (biology) , schrödinger equation , physics , classical mechanics , mathematical physics , quantum mechanics , evolutionary biology , biology
For the general time-dependent linear potential, the exact and complete solution of the Schr?dinger equation was obtained by assuming a form of wave function. Meanwhile, it was pointed out that the matrices φ(t)〉和ψ(t)〉 defined by the two wave functions 〈φ(t)xψ(t)〉和〈φ(t)pψ(t)〉 satisfy classical equations of motion. According to the ensemble theory of quantum mechanics, such classical equations describe the motion of fluid. A further research shows that similar conclusions apply to any linear system.