抄録
Equations for solving a quantum beat problem in a three-level system, which determine two complex variables of time dependence, are rewritten in terms of four real functions constructed from the two complex variables. The Minkowski space is reasonably introduced in order to represent the time evolution of the four real functions as the motion of a four-dimensional vector, though the equations are irrelevant to the special theory of relativity. It is found that the four-dimensional vector precesses around the zeroth axis on the cone which is constructed from all of the points whose norms are zero in the Minkowski space, and that the Euclidean norm of the vector decreases with the increase of time. Though the visualized motion of the vector is similar to those in the well-known magnetic resonance precession model, the picture obtained from the equations for quantum beats cannot be connected with such a phenomenon as photon echo.
| 元の言語 | 英語 |
|---|---|
| ページ（範囲） | 4387-4393 |
| ページ数 | 7 |
| ジャーナル | The Journal of Chemical Physics |
| 巻 | 92 |
| 発行部数 | 7 |
| DOI | |
| 出版物ステータス | 出版済み - 1 1 1990 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry
これを引用
Geometrical representation of the equations for solving quantum beat problems. / Furuya, Kenji; Gondo, Yasuhiko.
：: The Journal of Chemical Physics, 巻 92, 番号 7, 01.01.1990, p. 4387-4393.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Geometrical representation of the equations for solving quantum beat problems
AU - Furuya, Kenji
AU - Gondo, Yasuhiko
PY - 1990/1/1
Y1 - 1990/1/1
N2 - Equations for solving a quantum beat problem in a three-level system, which determine two complex variables of time dependence, are rewritten in terms of four real functions constructed from the two complex variables. The Minkowski space is reasonably introduced in order to represent the time evolution of the four real functions as the motion of a four-dimensional vector, though the equations are irrelevant to the special theory of relativity. It is found that the four-dimensional vector precesses around the zeroth axis on the cone which is constructed from all of the points whose norms are zero in the Minkowski space, and that the Euclidean norm of the vector decreases with the increase of time. Though the visualized motion of the vector is similar to those in the well-known magnetic resonance precession model, the picture obtained from the equations for quantum beats cannot be connected with such a phenomenon as photon echo.
AB - Equations for solving a quantum beat problem in a three-level system, which determine two complex variables of time dependence, are rewritten in terms of four real functions constructed from the two complex variables. The Minkowski space is reasonably introduced in order to represent the time evolution of the four real functions as the motion of a four-dimensional vector, though the equations are irrelevant to the special theory of relativity. It is found that the four-dimensional vector precesses around the zeroth axis on the cone which is constructed from all of the points whose norms are zero in the Minkowski space, and that the Euclidean norm of the vector decreases with the increase of time. Though the visualized motion of the vector is similar to those in the well-known magnetic resonance precession model, the picture obtained from the equations for quantum beats cannot be connected with such a phenomenon as photon echo.
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UR - http://www.scopus.com/inward/citedby.url?scp=36549096550&partnerID=8YFLogxK
U2 - 10.1063/1.457748
DO - 10.1063/1.457748
M3 - Article
AN - SCOPUS:36549096550
VL - 92
SP - 4387
EP - 4393
JO - Journal of Chemical Physics
JF - Journal of Chemical Physics
SN - 0021-9606
IS - 7
ER -