365 reputation
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bio website WWW.PRINCETON.EDU/~rghanta
location Princeton, NJ
age 18
visits member for 3 years, 4 months
seen Dec 31 '12 at 8:29

Hi, my name is Bob and I approve this message!


Dec
31
comment Applications of Operator Algebras to modern physics
Quantum Information Theory and Statistical Mechanics. Check out the Vanderbilt math department's website (Center for Operator Algebras and Noncommutative Geometry)
Jan
14
comment Mathematical places to visit
Princeton university
Dec
31
comment Why don't we define the class of $C^{\infty}$ in this way?
Can those who down-vote questions please specify why they down-voted them. As obvious as it may be to you, it may or may not be apparent to the user, and he/she can make more sense out of these down-votes.
Dec
16
comment Expectation of function of random variable?
Just for trivia, the rule you would use is called the "law of unconscious statistician", as you don't actually know the distribution of $g$.
Dec
15
comment Martingales huh?
yes. that's an important point that I forgot to state in my proof. Of course, $Y_n+1$ and $A$ are independent, because $A$ is in the sigma algebra that is not generated by $Y_n+1$.
Dec
14
comment Martingales huh?
@Didier Does my answer below make sense?
Dec
13
comment Is category theory useful in higher level Analysis?
depends on how you want to study qm- although this probably does injustice to classify work this way, there seems to be two ways to do qm rigorously: constructive quantum field theory and algebraic quantum field theory. I've only heard about category theory in the context of AQFT. I recommend looking at a book called "Deep Beauty" edited by Hans Halvorson.
Dec
4
comment Extension of Uncertainty Relations to a specific potential in Schrödinger Equation
I know that my question is a bit long, but I wanted to give some motivation for where this question came up for me. There may be people on this site who may not know much about physics, but who may be familiar with the analysis necessary to help me.
Oct
2
comment What is the best approach when things seem hopeless?
Also, this approach tends to make the exercises a bit easier, atleast in my experience.
Sep
16
comment Is the derivative of this function bounded?
I think $f'(t) \leq C(f + f^(3/2))$ shows that $f'(t) \rightarrow 0$ as $ t \rightarrow \infty$. Because $f \in C^1$, we know that $f'(t)$ is continuous. This helps see that $f'(t)$ is bounded on some interval $(a,\infty)$. Is there a flaw in my reasoning here?
Sep
13
comment Book advice to brush up on Calculus and PDEs
I'm glad you find this of some help!
Sep
13
comment suggest textbook on calculus
@george: I am glad that you have found Titu's book helpful. I think it is also a good way for you to get introduced to analysis.
Sep
7
comment Quantum mechanics for mathematicians
I am using Takhtajan's book right now. Dirac's book is indeed very frustrating.
Jul
30
comment A problem about Field extension
I think people here will be generally more willing to help you if you show them that you've sufficiently thought about this question by telling them how you would go about or start the proof. Otherwise, it just looks like a homework problem you're just throwing at us to solve on your behalf.
Jul
25
comment Riesz Lemma to the Riesz Representation Theorem
Thanks Theo. Do you then think there is any point in proving the converse I stated above: for each y∈H, then there exists an unique Ty∈H such that Ty(x)=(y,x) ∀x∈H. ?
Jul
11
comment What is a Form Domain of an Operator?
Thanks Theo. I was looking in the second volume, because in the book I was reading the chapter on Self-Adjointness, and the second volume of Reed-Simon series is about Fourier Analysis and Self-Adjointness.
Jul
11
comment What is a Form Domain of an Operator?
I believe it might have something to do with quadratic forms...
Jul
10
comment How could contour integration be represented as a number?
Also, if you are dealing with a meromorphic function (a function with isolated poles [which are singularities where f $\rightarrow \infty$]) in some region, then the countour integration can be seen as the the number of zeroes - the number of poles.
Jul
9
comment Motivating linear algebra for economics students?
Think about Control Theory as the light at the (somewhat) end of the tunnel.
Jul
9
comment Teaching Introductory Real Analysis
"If a problem involves something that could be thought of as a new idea" - can you be more specific? A lot of the problems just put together different theorems to solve a problem.