scholarly journals H−and He in a uniform magnetic field: Ground-state wave functions, energies, and binding energies for fields below109G

1984 ◽  
Vol 29 (2) ◽  
pp. 442-454 ◽  
Author(s):  
Chang-Hwan Park ◽  
Anthony F. Strace
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
Uniform Magnetic Field ◽  
Binding Energies ◽  
Wave Functions ◽  
State Wave

scholarly journals EXACT GROUND STATE WAVE FUNCTIONS FOR N ANYONS IN A MAGNETIC FIELD ON A TORUS

1993 ◽  
Vol 08 (33) ◽  
pp. 3173-3185 ◽  
Author(s):  
ANSAR FAYYAZUDDIN
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Ground State ◽  
Filling Factor ◽  
Wave Functions ◽  
State Wave ◽  
Exact Ground State ◽  
Lowest Landau Level ◽  
Complete Set ◽  
Chern Simons

The complete set of ground state wave functions for N anyons in an external magnetic field on the torus is found. The cases when the filling factor is less than or equal to one are considered. The single valued description of anyons is employed throughout by coupling bosons to a Chern-Simons field. At the end, the Chern-Simons interaction is removed by a singular gauge transformation as a result of which the wave functions become multi-component in agreement with other studies. It is shown that for statistics of the type θ=πq/p the exactly filled lowest Landau level has a q-fold degeneracy. Statistics of type π/p, which are relevant for the Laughlin theory of the FQHE, are singled out as those with non-degenerate filled ground states.

The binding energies of atomic nuclei III. Nuclear forces and the ground state of oxygen 16

1959 ◽  
Vol 253 (1273) ◽  
pp. 186-198 ◽  
Keyword(s):  
Binding Energy ◽  
Electron Scattering ◽  
Ground State ◽  
Binding Energies ◽  
Wave Functions ◽  
Unperturbed System ◽  
Core Radius ◽  
Nuclear Forces ◽  
Potential Core ◽  
Atomic Nuclei

The r. m. s. radius and the binding energy of oxygen 16 are calculated for several different internueleon potentials. These potentials all fit the low-energy data for two nucleons, they have hard cores of differing radii, and they include the Gammel-Thaler potential (core radius 0·4 fermi). The calculated r. m. s. radii range from 1·5 f for a potential with core radius 0·2 f to 2·0 f for a core radius 0·6 f. The value obtained from electron scattering experiments is 2·65 f. The calculated binding energies range from 256 MeV for a core radius 0·2 f to 118 MeV for core 0·5 f. The experimental value of binding energy is 127·3 MeV. The 25% discrepancy in the calculated r. m. s. radius may be due to the limitations of harmonic oscillator wave functions used in the unperturbed system.

Ground-State Wave Functions for He i andH−Obtained by the Superposition of Central Field Functions

1956 ◽  
Vol 104 (6) ◽  
pp. 1593-1595 ◽  
Author(s):  
Louis C. Green ◽  
Carolyn D. Chandler ◽  
Patricia P. Rush
Keyword(s):  
Ground State ◽  
Wave Functions ◽  
Central Field ◽  
State Wave

Proton Wave Functions in a Uniform Magnetic Field

2011 ◽  
Author(s):  
Dale S. Roberts ◽  
Patrick O. Bowman ◽  
Waseem Kamleh ◽  
Derek B. Leinweber
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Wave Functions
Sign in / Sign up

Export Citation Format

Share Document