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Results tagged with reference-request
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user 18261
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
1
answer
384
views
semi-classical Green's function
I am reading Gutzwiller's papers on the relation between Hamiltonian flows and solution to Schrodinger equations.
In the two papers, he gave a semi-classical approximation of the Green's function to …
- 587
3
votes
1
answer
349
views
bounded analytic function as a power series
Suppose $$f(x)=\sum_{k=0}^\infty a_k\frac{(i x)^k}{k!}$$ where $$a_k=k!\int_0^1 p_k(y_{k-1})\int_0^{y_{k-1}}p_{k-1}(y_{k-2})\cdots \int_0^{y_1}p_1(y_0) dy_0\cdots dy_{k-2}\;dy_{k-1}$$ for functions $p …
- 587
3
votes
1
answer
216
views
Duistermaat-Heckman integral formula on compact manifold with boundary
Let a compact Lie group $G$ acts on a closed symplectic manifold $(M,\omega)$. If the action is Hamiltonian with $\mu$ the moment map, then the integral $$\int_M e^{i\mu (X)+\omega}$$ is equal to the …
- 587
3
votes
1
answer
160
views
Reference of $\hbar$-differential operator from symplectic geometry perspective
I am reading Bates and Weinstein's book 'Lectures on the Geometry of Quantization'. In Chapter 6, they defined the $\hbar$-differential operator, and showed (Theorem 6.7) that the Lagrangian submanifo …
- 587