Sum rules and expansion formula for Stark radiative transitions in the hydrogen atom

Journal Article · Sat Nov 01 04:00:00 EST 1975 · Phys. Rev., A, v. 12, no. 5, pp. 1949-1953

DOI:https://doi.org/10.1103/PhysRevA.12.1949· OSTI ID:4146924

Herrick, D R

An expansion formula for Stark effect transition probabilities is derived in terms of field-free (spherical) transition probabilities. Expansion coefficients are squares of Clebsch-Gordan coefficients from the SO(4) = SU(2) x SU(2) description of the hydrogen atom. The method provides new sum rules for Stark transitions which explain regularities in previous calculations. Accurate formulas for average Stark transition probabilities obtain from application of the method to an empirical model for field-free transition probabilities. The approximation permits estimation of Stark lifetimes in the large-n regime. (AIP)

• Research Organization: Bell Laboratories, Murray Hill, New Jersey 07974
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-010266
• OSTI ID: 4146924
• Journal Information: Phys. Rev., A, v. 12, no. 5, pp. 1949-1953, Journal Name: Phys. Rev., A, v. 12, no. 5, pp. 1949-1953; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

*HYDROGEN-- STARK EFFECT
640302* --Physics Research--Atomic
Molecular & Chemical Physics--Atomic & Molecular Properties
CLEBSCH-GORDAN COEFFICIENTS
ENERGY-LEVEL TRANSITIONS
N60200* --Physics (Atomic & Molecular)--Atomic & Molecular Properties
QUANTUM NUMBERS
SUM RULES