Parametric time-coherent states for the hydrogen atom

Unal N.

PHYSICAL REVIEW A, cilt.63, sa.5, 2001 (SCI-Expanded) identifier identifier

  • 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.