Автор |
Yu I Heller |
Автор |
V S Malinovsky |
Автор |
D A Shapiro |
Дата выпуска |
1986-05-28 |
dc.description |
The analogy between the evolution of a quasi-closed (decaying) two-level quantum system and the relativistic spin-<sup>1</sup>/<sub>2</sub> motion in electric and magnetic fields is shown. The non-stationary equations for the 4-vector of a pseudo-spin describing the two-level system evolution are derived. In contrast with the well known three-dimensional model, the description is valid for arbitrary relaxation constant relations. In some limits the four-dimensional equations reduce to the optical Bloch ones. The 'energetic space' Lorentz invariance allows one to describe all possible solutions. Simple approximate quasi-stationary solutions are given for dephasing collisions and the region of their validity is determined. The Lorentz invariance of a Schrodinger equation with a non-Hermitian Hamiltonian is found and a set of four-component orthogonal eigenstates of the Dirac-type is constructed. Several examples of the utilisation of the four-dimensional formalism in laser-induced autoionisation, optics of anisotropic media, magnetic phenomena and K<sub>0</sub> meson, decay are present. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Four-dimensional vector theory of interaction and decay of two quasi-stationary states |
Тип |
paper |
DOI |
10.1088/0022-3700/19/10/012 |
Print ISSN |
0022-3700 |
Журнал |
Journal of Physics B: Atomic and Molecular Physics |
Том |
19 |
Первая страница |
1425 |
Последняя страница |
1435 |
Аффилиация |
Yu I Heller; L.V. Kirensky Inst. of Phys., Acad. of Sci., Krasnoyarsk, USSR |
Аффилиация |
V S Malinovsky; L.V. Kirensky Inst. of Phys., Acad. of Sci., Krasnoyarsk, USSR |
Аффилиация |
D A Shapiro; L.V. Kirensky Inst. of Phys., Acad. of Sci., Krasnoyarsk, USSR |
Выпуск |
10 |