Автор |
Dae-Yup Song |
Дата выпуска |
1999-05-07 |
dc.description |
For a harmonic oscillator with time-dependent (positive) mass and frequency, a unitary operator is shown to transform the quantum states of the system to those of a harmonic oscillator system of unit mass and time-dependent frequency, as well as operators. For a driven harmonic oscillator, a unitary transformation which relates the driven system and a system of the same mass and frequency without a driving force is given, as a generalization of previous results, in terms of the solution of classical equation of motion of the driven system. Thus transformations give a simple way of finding exact wavefunctions of a driven harmonic oscillator system, provided the quantum states of the corresponding system of unit mass are given. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Unitary relations in time-dependent harmonic oscillators |
Тип |
paper |
DOI |
10.1088/0305-4470/32/18/318 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
32 |
Первая страница |
3449 |
Последняя страница |
3456 |
Аффилиация |
Dae-Yup Song; Department of Physics, Sunchon National University, Sunchon 540-742, Korea |
Выпуск |
18 |