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1d

awarded  Commentator 
1d

comment 
translation invariance of the Laughlin wave function
Isn't the quantity defined in question 1 just the probability to find k particles in D? Then the answer is evidently no, for the same naive reason. That is, if you put the disk where the density is small, the above probability is small. 
1d

comment 
translation invariance of the Laughlin wave function
This is no problem: a droplet centered at $z_0$ may be obtained by adding a factor $e^{z_iz_0/2}$ for each coordinate, which retains the desired properties of the Laughlin state but shifts the density. 
1d

comment 
translation invariance of the Laughlin wave function
If I could chip in: the question being posed is more basic, and is concerned with whether the density of the Laughlin state is translationally invariant. It is not, on account of the Gaussian factor, and this leads to a circular Quantum Hall droplet even for low $q$. 
Oct 31 
revised 
Nature of separatrix in FokkerPlanck Hamiltonian with two degrees of freedom
Added figure 
Oct 30 
asked  Nature of separatrix in FokkerPlanck Hamiltonian with two degrees of freedom 
May 4 
comment 
Reference request: a differential equation in elementary geometry
If I map each circle of the torus stereographically to the line, then by your P.S. the equation becomes the equation for a straight line through the origin. 
Mar 7 
comment 
A mysterious Heisenberg algebra identity from Sylvester, 1867
Very interesting! Graves essentially had the form of the star product. 
Dec 2 
comment 
CalogeroMoser system: relationship between dual variables and the KKS construction
Yes, it appears in: Alexander G Abanov et al 2009 J. Phys. A: Math. Theor. 42 135201 (for the case of periodic boundary conditions) and Michael Stone et al 2008 J. Phys. A: Math. Theor. 41 275401. 
Oct 24 
awarded  Yearling 
Oct 1 
revised 
CalogeroMoser system: relationship between dual variables and the KKS construction
edited body 
Sep 30 
revised 
CalogeroMoser system: relationship between dual variables and the KKS construction
edited tags 
Sep 30 
asked  CalogeroMoser system: relationship between dual variables and the KKS construction 
Sep 11 
awarded  Tumbleweed 
Jun 18 
revised 
Similarity solutions of the imaginary time BenjaminOno equation
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revised 
Similarity solutions of the imaginary time BenjaminOno equation
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Jun 11 
revised 
Similarity solutions of the imaginary time BenjaminOno equation
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Jun 1 
revised 
Similarity solutions of the imaginary time BenjaminOno equation
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Jun 1 
revised 
Similarity solutions of the imaginary time BenjaminOno equation
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Jun 1 
asked  Similarity solutions of the imaginary time BenjaminOno equation 