منابع مشابه
Laughlin’s wave functions, Coulomb gases and expansions of the discriminant
Laughlin's wave functions, Coulomb gases and expansions of the discriminant. In the context of the fractional quantum Hall effect, we investigate Laughlin's celebrated ansatz for the ground state wave function at fractional filling of the lowest Landau level. Interpreting its normalization in terms of a one component plasma, we find the effect of an additional quadrupolar field on the free ener...
متن کاملGeneralized Laughlin wave functions including the effect of Coulomb interaction.
We present improved wave functions for the ground state, Laughlin quasihole and quasiparticle excitations of the fractional quantum Hall effect. These depend explicitly on the effective strength of Coulomb interaction and reproduce Laughlin’s original result in the limit of no Coulomb interaction. PACS numbers: 73.40.Hm, 72.20.My Typeset using REVTEX 1 The fractional quantum Hall effect (FQHE) ...
متن کاملThird-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin
We compute the third-order correction to the S-wave quarkonium wave functions |ψn(0)| 2 at the origin from non-Coulomb potentials in the effective non-relativistic Lagrangian. Together with previous results on the Coulomb correction and the ultrasoft correction computed in a companion paper, this completes the thirdorder calculation up to a few unknown matching coefficients. Numerical estimates...
متن کاملUniform WKB approximation of Coulomb wave functions for arbitrary partial wave
Coulomb wave functions are difficult to compute numerically for extremely low energies, even with direct numerical integration. Hence, it is more convenient to use asymptotic formulas in this region. It is the object of this paper to derive analytical asymptotic formulas valid for arbitrary energies and partial waves. Moreover, it is possible to extend these formulas for complex values of param...
متن کاملPhotoelectron wave function in photoionization: plane wave or Coulomb wave?
The calculation of absolute total cross sections requires accurate wave functions of the photoelectron and of the initial and final states of the system. The essential information contained in the latter two can be condensed into a Dyson orbital. We employ correlated Dyson orbitals and test approximate treatments of the photoelectron wave function, that is, plane and Coulomb waves, by comparing...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Australian Journal of Physics
سال: 1959
ISSN: 0004-9506
DOI: 10.1071/ph590094