Yunlong Lian

67 reputation

bio	website
	location	Germany/France
	age
visits	member for	10 months
	seen	Feb 11 at 8:35
stats	profile views	40

3rd year =_= master student. Interests: CFT, QHE, Chern-Simons.

	67 reputation	bio	website		visits	member for	10 months
5 badges		location	Germany/France		seen	Feb 11 at 8:35

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Jan 9	asked	Does quantum manybody theory with 2nd quantization completely equivalent to 1st quantization formulation?
Dec 18	comment	Has the concept of non-integer $(n+m)$-dimensional spacetime ever been investigated by theoretical physicists? how do you define another "time direction" in your illustration?
Dec 3	asked	Are there any good reading materials for variational approach in many-body theory?
Dec 2	revised	The cleverest way to calculate $\left[\hat{a}^{M},\hat{a}^{\dagger N}\right]$ with $\left[\hat{a},\hat{a}^{\dagger}\right]=1$ added 372 characters in body
Nov 29	revised	Asking for references on the variational treatment of spin wave added 316 characters in body
Nov 29	asked	Asking for references on the variational treatment of spin wave
Nov 28	revised	Isn't it incorrect for the minimal gauge coupling and related calculations in Prof. Ezawa's book on quantum Hall effect? added 150 characters in body
Nov 26	awarded	Commentator
Nov 26	comment	The cleverest way to calculate $\left[\hat{a}^{M},\hat{a}^{\dagger N}\right]$ with $\left[\hat{a},\hat{a}^{\dagger}\right]=1$ Yes, you are right. The canonical transformation should preserve the commutator, not transforming $i\hbar$ to $1$. I have to construct a proof to show the algebraic isomorphism between std oscillator ladder operator algebra and differential operators on polynomial space $\mathbb{C}[x]$
Nov 25	revised	The cleverest way to calculate $\left[\hat{a}^{M},\hat{a}^{\dagger N}\right]$ with $\left[\hat{a},\hat{a}^{\dagger}\right]=1$ added 1348 characters in body
Nov 25	accepted	The cleverest way to calculate $\left[\hat{a}^{M},\hat{a}^{\dagger N}\right]$ with $\left[\hat{a},\hat{a}^{\dagger}\right]=1$
Nov 25	comment	The cleverest way to calculate $\left[\hat{a}^{M},\hat{a}^{\dagger N}\right]$ with $\left[\hat{a},\hat{a}^{\dagger}\right]=1$ @Prathyush If so, the correspondence should be $\hat{a}\sim x+\frac{d}{dx}\,,\,\hat{a}^{\dagger}\sim x-\frac{d}{dx}$, right?
Nov 25	comment	The cleverest way to calculate $\left[\hat{a}^{M},\hat{a}^{\dagger N}\right]$ with $\left[\hat{a},\hat{a}^{\dagger}\right]=1$ I tried to map this commutator to the problem $\left[\frac{d}{dx},x\right]\circ f\left(x\right)=1\circ f\left(x\right),\,\hat{a}\sim\frac{d}{dx}\,,\,\hat{a}^{\dagger}\sim x$ but I don't know how to make this correspondence mathematically rigorous, i.e. to proof the existence of such a correspondence.
Nov 25	asked	The cleverest way to calculate $\left[\hat{a}^{M},\hat{a}^{\dagger N}\right]$ with $\left[\hat{a},\hat{a}^{\dagger}\right]=1$
Nov 24	comment	Isn't it incorrect for the minimal gauge coupling and related calculations in Prof. Ezawa's book on quantum Hall effect? To further save my N-page calculation based on Ezawa, I came up with another idea - not to flip the B field, but to do a spatial reflection, or change the handness of the xyz-coord frame. Hope you know it :D
Nov 23	awarded	Supporter
Nov 23	accepted	Isn't it incorrect for the minimal gauge coupling and related calculations in Prof. Ezawa's book on quantum Hall effect?
Nov 23	comment	Isn't it incorrect for the minimal gauge coupling and related calculations in Prof. Ezawa's book on quantum Hall effect? Thanks a lot for the hint to flip the B field. I got it. P.S. [X,Y] should be proportional to $l_{B}^2$ always, not the inverse.
Nov 23	awarded	Editor
Nov 23	revised	Isn't it incorrect for the minimal gauge coupling and related calculations in Prof. Ezawa's book on quantum Hall effect? added 2 characters in body