| タイトル | Coherent states for the relativistic harmonic oscillator |
| 本文（外部サイト） | http://hdl.handle.net/2060/19950016576 |
| 著者（英） | Aldaya, Victor; Guerrero, J. |
| 著者所属（英） | Granada Univ. |
| 発行日 | 1995-01-01 |
| 言語 | eng |
| 内容記述 | Recently we have obtained, on the basis of a group approach to quantization, a Bargmann-Fock-like realization of the Relativistic Harmonic Oscillator as well as a generalized Bargmann transform relating fock wave functions and a set of relativistic Hermite polynomials. Nevertheless, the relativistic creation and annihilation operators satisfy typical relativistic commutation relations of the Lie product (vector-z, vector-z(sup dagger)) approximately equals Energy (an SL(2,R) algebra). Here we find higher-order polarization operators on the SL(2,R) group, providing canonical creation and annihilation operators satisfying the Lie product (vector-a, vector-a(sup dagger)) = identity vector 1, the eigenstates of which are 'true' coherent states. |
| NASA分類 | THERMODYNAMICS AND STATISTICAL PHYSICS |
| レポートNO | 95N22993 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/108297 |
|
