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Des ponts

Cécile Dewitt-Morette (1998)

Publications Mathématiques de l'IHÉS

Evaluation formulas for a conditional Feynman integral over Wiener paths in abstract Wiener space

Kun Soo Chang, Dong Hyun Cho, Il Yoo (2004)

Czechoslovak Mathematical Journal

In this paper, we introduce a simple formula for conditional Wiener integrals over C 0 ( 𝔹 ) , the space of abstract Wiener space valued continuous functions. Using this formula, we establish various formulas for a conditional Wiener integral and a conditional Feynman integral of functionals on C 0 ( 𝔹 ) in certain classes which correspond to the classes of functionals on the classical Wiener space introduced by Cameron and Storvick. We also evaluate the conditional Wiener integral and conditional Feynman integral...

From multi-instantons to exact results

Jean Zinn-Justin (2003)

Annales de l’institut Fourier

In these notes, conjectures about the exact semi-classical expansion of eigenvalues of hamiltonians corresponding to potentials with degenerate minima, are recalled. They were initially motivated by semi-classical calculations of quantum partition functions using a path integral representation and have later been proven to a large extent, using the theory of resurgent functions. They take the form of generalized Bohr--Sommerfeld quantization formulae. We explain here their...

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