Transition form factor of the hydrogen Rydberg atom

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.55.1674· OSTI ID:467339

Bersons, I; Kulsh, A ^[1]

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1. Institute of Atomic Physics and Spectroscopy, University of Latvia, Raina boul. 19, Riga, LV-1586 (Latvia)

The form factor for the transition between the hydrogenic states with parabolic quantum numbers n{sub 1}n{sub 2}m and n{sub 1}{sup {prime}}n{sub 2}{sup {prime}}m{sup {prime}} is obtained in a closed analytic form. The asymptotic limit of the transition form factor at large parabolic quantum numbers is derived, and a comparison with exact quantum calculations shows that the asymptotic limit is accurate in a wide region of parabolic quantum numbers and the momentum p transferred to electrons. A simple quasiclassical formula for the transition probability is given, and the range of quantum numbers corresponding to quasiclassically forbidden transitions are defined. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 467339
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 3 Vol. 55; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ENERGY-LEVEL TRANSITIONS
FORM FACTORS
HYDROGEN
LIFETIME
QUANTUM MECHANICS
RYDBERG STATES