THEORY OF THE QUANTIZED ADIABATIC PARTICLE TRANSPORT

1991 ◽  
Vol 05 (14n15) ◽  
pp. 923-931 ◽  
Author(s):  
QIAN NIU
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Size Effects ◽  
Particle Transport ◽  
Quantum Fluctuation ◽  
Quantum Hall ◽  
Finite Size ◽  
Finite Size Effects ◽  
Gauge Invariant ◽  
Realistic Geometry

A localized formulation is presented for the quantized adiabatic particle transport (APT) induced by a slow and cyclic potential variation. Finite size effects are studied for the ring geometry and a realistic geometry. The localized description of APT is shown to be equivalent to the Laughlin's gauge invariant argument for the quantum Hall effect. The effect of quantum fluctuation and the possibility of fractionally quantized APT are also discussed.

a0(980) AND f0(980) MESONS AS HADRONIC MOLECULES

2009 ◽  
Vol 24 (02n03) ◽  
pp. 568-571 ◽  
Author(s):  
T. BRANZ ◽  
T. GUTSCHE ◽  
V. E. LYUBOVUTSKIJ
Keyword(s):  
Size Effects ◽  
Bound States ◽  
Finite Size ◽  
Finite Size Effects ◽  
Gauge Invariant ◽  
Electromagnetic Decay ◽  
Invariant Model ◽  
Scalar Mesons ◽  
Decay Properties ◽  
Good Agreement

We discuss a possible interpretation of the scalar mesons f0(980) and a0(980) as hadronic molecules - bound states of K and [Formula: see text] mesons. Using a phenomenological Lagrangian approach we calculate strong as well as the electromagnetic decay properties of both scalars. The covariant and gauge invariant model, which also allows for finite size effects of the hadronic molecule, delivers results in good agreement with experimental data.

EXPERIMENTAL FINITE-SIZE SCALING IN THE QUANTUM HALL EFFECT

1992 ◽  
Vol 06 (01) ◽  
pp. 1-8 ◽  
Author(s):  
S. KOCH ◽  
R.J. HAUG ◽  
K. v. KLITZING ◽  
K. PLOOG
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Localization Length ◽  
Finite Size ◽  
Landau Levels ◽  
Spin Splitting ◽  
Theoretic Approach ◽  
Lowest Landau Level ◽  
Experimental Findings

The critical exponent ν of the localization length in the integral quantum Hall regime can be measured directly using small Hall-bar geometries with different sizes. We obtain a universal behaviour for the three lowest Landau levels. This is in agreement with the universality prediction of the field-theoretic approach to the metal-insulator-transition in the quantum Hall effect. The value of ν=2.3±0.1 agrees with recent numerical studies for the lowest Landau level. We review recent experimental findings on the basis of these results and discuss the situation in Landau levels where spin-splitting is not resolved.

Localization and many-body interactions in the quantum Hall effect determined by polarized optical emission

1991 ◽  
Vol 44 (8) ◽  
pp. 4006-4009 ◽  
Author(s):  
B. B. Goldberg ◽  
D. Heiman ◽  
M. Dahl ◽  
A. Pinczuk ◽  
L. Pfeiffer ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Optical Emission ◽  
Many Body ◽  
Many Body Interactions
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