Stationarity of resonant pole trajectories in complex scaling. [Reciprocity, virial theorem, Stark broadening, perturbation theory]

Journal Article · Sun Oct 01 00:00:00 EDT 1978 · Int. J. Quant. Chem.; (United States)

DOI:https://doi.org/10.1002/qua.560140407· OSTI ID:6336001

Canuto, S; Goscinski, O

A reciprocity theorem relating the real parameters eta and ..cap alpha.. that define the complex scaling transformation r ..-->.. eta r e/sup i..cap alpha../ in the theory of complex scaling for resonant states is demonstrated. The virial theorem is used in connection with the stationarity of the pole trajectory. The Stark broadening in the hydrogen atom using a basis set generated by Rayleigh--Schroedinger perturbation theory is treated as an example. 18 references.

• Research Organization: Uppsala Univ., Sweden
• OSTI ID: 6336001
• Journal Information: Int. J. Quant. Chem.; (United States), Vol. 14:4
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
HYDROGEN
ENERGY LEVELS
LINE BROADENING
PERTURBATION THEORY
RAYLEIGH-SCHROEDINGER FORMULA
RESONANCE
SCALE INVARIANCE
STARK EFFECT
TRAJECTORIES
VIRIAL THEOREM
CRYOGENIC FLUIDS
ELEMENTS
FLUIDS
INVARIANCE PRINCIPLES
NONMETALS
640302* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Properties & Theory