2015/10/06 by Thomas Garm Pedersen, Héctor Mera, Branislav K. Nikolić
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic physics #Curse of dimensionality #Electric field #Hydrogen #Ion #Ionization #Laser-Matter Interactions and Applications #Mathematics #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum mechanics #Series (stratigraphy) #Spectroscopy and Quantum Chemical Studies #Stark effect #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.93.013409
published as Phys. Rev. A 93, 013409 (2016)
arxiv created 2015/10/06 · openalex publication_date 2016/01/12 · arxiv updated 2016/01/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Studies of atomic systems in electric fields are challenging because of the diverging perturbation series. However, physically meaningful Stark shifts and ionization rates can be found by analytical continuation of the series using appropriate branch cut functions. We apply this approach to low-dimensional hydrogen atoms to study the effects of reduced dimensionality. We find that modifications by the electric field are strongly suppressed in reduced dimensions. This finding is explained from a Landau-type Wentzel--Kramers--Brillouin analysis of the ionization process.