scholarly journals Chern-Simons matrix model: Coherent states and relation to Laughlin wave functions

2001 ◽  
Vol 64 (24) ◽  
Author(s):  
Dimitra Karabali ◽  
B. Sakita
Keyword(s):  
Matrix Model ◽  
Coherent States ◽  
Wave Functions ◽  
Chern Simons

Composite Coherent States Approximation for One-Dimensional Multi-Phased Wave Functions

2012 ◽  
Vol 11 (3) ◽  
pp. 951-984 ◽  
Author(s):  
Dongsheng Yin ◽  
Chunxiong Zheng
Keyword(s):  
Fourier Transform ◽  
Coherent States ◽  
Numerical Experiments ◽  
Wave Length ◽  
Wave Functions ◽  
Parameter Recovery ◽  
Characteristic Wave ◽  
One Dimensional ◽  
Windowed Fourier Transform ◽  
Recovery Algorithm

AbstractThe coherent states approximation for one-dimensional multi-phased wave functions is considered in this paper. The wave functions are assumed to oscillate on a characteristic wave length 0(ε) with ε ≪ 1. A parameter recovery algorithm is first developed for single-phased wave function based on a moment asymptotic analysis. This algorithm is then extended to multi-phased wave functions. If cross points or caustics exist, the coherent states approximation algorithm based on the parameter recovery will fail in some local regions. In this case, we resort to the windowed Fourier transform technique, and propose a composite coherent states approximation method. Numerical experiments show that the number of coherent states derived by the proposed method is much less than that by the direct windowed Fourier transform technique.

scholarly journals Chern-Simons theory on Seifert manifold and matrix model

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Arghya Chattopadhyay ◽  
Suvankar Dutta ◽  
Neetu
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Seifert Manifold ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals HIERARCHICAL WAVE FUNCTIONS OF FRACTIONAL QUANTUM HALL EFFECT ON THE TORUS

1993 ◽  
Vol 07 (14) ◽  
pp. 2655-2665 ◽  
Author(s):  
DINGPING LI
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Wave Functions ◽  
Simons Theory ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Chern Simons ◽  
Chern Simons Theory

One kind of hierarchical wave functions of Fractional Quantum Hall Effect on the torus is constructed. We find that the wave functions are closely related to the wave functions of generalized Abelian Chern-Simons theory.

Coherent states of Landau–Aharonov–Casher levels

2016 ◽  
Vol 30 (06) ◽  
pp. 1650022 ◽  
Author(s):  
J. Lemos de Melo ◽  
I. A. Pedrosa ◽  
C. Furtado
Keyword(s):  
Coherent States ◽  
Wave Functions ◽  
Neutral Particles ◽  
Uncertainty Product

In this paper, we study the coherent states of Landau–Aharonov–Casher (LAC) levels. These LAC levels are an analogue of the Landau quantization for neutral particles. Afterwards, we investigate some properties of the coherent states, evaluate the uncertainty product and derive the wave functions for our problem. We also discuss the coherent states for the Landau–He–McKellar–Wilkens (LHMW) levels by using the Maxwell duality.

scholarly journals Orthosymplectic Chern-Simons matrix model and chirality projection

2016 ◽  
Vol 2016 (4) ◽  
pp. 1-19 ◽  
Author(s):  
Sanefumi Moriyama ◽  
Takao Suyama
Keyword(s):  
Matrix Model ◽  
Chern Simons

scholarly journals Giambelli identity in super Chern-Simons matrix model

2017 ◽  
Vol 58 (3) ◽  
pp. 032301 ◽  
Author(s):  
Satsuki Matsuno ◽  
Sanefumi Moriyama
Keyword(s):  
Matrix Model ◽  
Chern Simons ◽  
Giambelli Identity

scholarly journals MULTIPLE CHERN–SIMONS FIELDS ON A TORUS

1994 ◽  
Vol 09 (06) ◽  
pp. 969-989 ◽  
Author(s):  
DENNE WESOLOWSKI ◽  
YUTAKA HOSOTANI ◽  
CHOON-LIN HO
Keyword(s):  
Hilbert Space ◽  
Gauge Field ◽  
Wilson Line ◽  
Wave Functions ◽  
Effective Theory ◽  
Gauge Fields ◽  
Vacuum Structure ◽  
Vacuum Degeneracy ◽  
Chern Simons

Intertwined multiple Chern–Simons gauge fields induce matrix statistics among particles. We analyze this theory on a torus, focusing on the vacuum structure and the Hilbert space. The theory can be mimicked, although not completely, by an effective theory with one Chern–Simons gauge field. The correspondence between the Wilson line integrals, vacuum degeneracy and wave functions for these two theories are discussed. Further, it is found in both of these cases that the two total momenta and Hamiltonian commute only in the physical Hilbert space.

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