Parametric time-coherent states for the hydrogen atom
PHYSICAL REVIEW A, cilt.63, sa.5, 2001 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 63 Sayı: 5
- Basım Tarihi: 2001
- Doi Numarası: 10.1103/physreva.63.052105
- Dergi Adı: PHYSICAL REVIEW A
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Akdeniz Üniversitesi Adresli: Hayır
Özet
We obtained coherent states for the hydrogen atom by transforming the problem into four oscillators in the parametric time at a classical level, and quantizing these oscillators by using path integration over their holomorphic coordinates. We showed that for the negative- (positive-) energy coherent states the mean values of the physical position of the electron satisfy the Keplerian ellipses (hyperbolas) and that their dispersions oscillate (increase) in parametric time.