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Buzz
  • Member for 4 years
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  • The American South
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Is $A^2 + (A^2)^t$ Positive Semidefinite?
fixed latex... but should probably be migrated anyway...
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Question on Artin's Gamma function on $\operatorname{SO}(2,0)(\mathbb R)$
I feel stupid, because I thought $SO(2,0)(\mathbf{R})$ was just $U(1)$.
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$L^\infty$ bound of $x^m \psi_n(x)$ where $\psi_n$ is a Hermite function and $m,n \in \mathbb{N}$ - extension from Cramer's inequality
It seems like there should a reasonable bound for each $m$ and $n$, coming from the expansion $x^{m}\psi_{n}(x)=\sum_{j}c_{j}\psi_{n+m-j}(x)$.
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"Next steps" after TQFT?
The holy grail of TQFT would be a prescription for the duality that interchanges the operator quantum numbers and topological quantum numbers of an arbitrary QFT. More prosaically, there is the sub-problem of finding dualities between classes of perturbative intractable QFTs and (inherently nonperturbative) TQFTs.
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First Dirichlet eigenvalue of the harmonic oscillator on a bounded interval $(-a,a)$?
What makes you think $H$ has eigenfunctions with compact support? Naively it looks like any functions with compact support are square integrable on $\mathbb{R}$, and all the square integrable eigenfunctions of $H$ are known. They are just the usual harmonic oscillator wave functions, none of which has compact support.
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