scholarly journals Ground-state wave functions of general filling factors in the lowest Landau level

1998 ◽  
Vol 58 (16) ◽  
pp. R10163-R10166 ◽  
Author(s):  
J. H. Han ◽  
S.-R. Eric Yang
Keyword(s):  
Landau Level ◽  
Ground State ◽  
Wave Functions ◽  
State Wave ◽  
Lowest Landau Level

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.

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

scholarly journals Solution of The Schrödinger Equation for Trigonometric Scarf Plus Poschl-Teller Non-Central Potential Using Supersymmetry Quantum Mechanics

2016 ◽  
Vol 4 (01) ◽  
pp. 1 ◽  
Author(s):  
Cari C ◽  
Suparmi S ◽  
Antomi Saregar
Keyword(s):  
Ground State ◽  
Energy Eigenvalue ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
State Wave ◽  
Shape Invariant ◽  
Raising Operator ◽  
Invariant Properties ◽  
Lowering Operator ◽  
Exact Energy

<span>In this paper, we show that the exact energy eigenvalues and eigen functions of the Schrödinger <span>equation for charged particles moving in certain class of noncentral potentials can be easily <span>calculated analytically in a simple and elegant manner by using Supersymmetric method <span>(SUSYQM). We discuss the trigonometric Scarf plus Poschl-Teller systems. Then, by operating <span>the lowering operator we get the ground state wave function, and the excited state wave functions <span>are obtained by operating raising operator repeatedly. The energy eigenvalue is expressed in the <span>closed form obtained using the shape invariant properties. The results are in exact agreement with <span>other methods.</span></span></span></span></span></span></span><br /></span>

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