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For questions about mathematical problems arising from quantum mechanics, a branch of physics describing the behaviour of nature at very small scales, at the level of atoms and subatomic particles.
2
votes
Accepted
How to evaluate the wiener measure of sets?
First let $t$ be fixed and look at the set $\{ w \mid w(t) \in U\}$. Take a sequence of continuous functions $f_k$ that are uniformly bounded and converge to the indicator function of a set $U$ in the …
1
vote
Witten index non-trivial in the context of Quantum Mechanics?
In cases where you consider differential operators on compact manifolds instead of $\mathbb{R}^n$, this is related to the Atiyah-Singer Theorem. It turns out that in many cases, the index of your oper …