365 reputation
214
bio website WWW.PRINCETON.EDU/~rghanta
location Princeton, NJ
age 18
visits member for 3 years, 5 months
seen Dec 31 '12 at 8:29

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


Jul
2
awarded  Curious
Oct
19
awarded  Popular Question
Sep
5
awarded  Notable Question
Dec
31
accepted Looser Conditions on Casorati-Weierstrass
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)
Jun
16
awarded  Nice Answer
Apr
16
awarded  Yearling
Apr
8
awarded  Popular Question
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
14
revised Martingales huh?
awkward language
Dec
14
suggested suggested edit on Martingales huh?
Dec
14
answered Martingales huh?
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.
Dec
4
asked Extension of Uncertainty Relations to a specific potential in Schrödinger Equation
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.