Scattering length and capacity
Annales de l'Institut Fourier, Volume 25 (1975) no. 3-4, p. 317-321

An expression in terms of the Wiener integral for the “scattering length” is given and used to discuss the relation between this quantity and electrostatic capacity.

En exprimant la longueur de diffusion (scattering length) comme limite d’une intégrale de Wiener nous mettons en évidence la liaison intime entre cette longueur et la capacité électrostatique.

@article{AIF_1975__25_3-4_317_0,
     author = {Kac, M. and Luttinger, J. M.},
     title = {Scattering length and capacity},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {25},
     number = {3-4},
     year = {1975},
     pages = {317-321},
     doi = {10.5802/aif.586},
     zbl = {0303.28011},
     mrnumber = {53 \#5902},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1975__25_3-4_317_0}
}
Kac, M.; Luttinger, J. M. Scattering length and capacity. Annales de l'Institut Fourier, Volume 25 (1975) no. 3-4, pp. 317-321. doi : 10.5802/aif.586. http://www.numdam.org/item/AIF_1975__25_3-4_317_0/

[1] M. Kac, Aspects Probabilistes de la Théorie du Potentiel, Les Presses de l'Université de Montréal, 1970. | MR 45 #2798 | Zbl 0216.10205

[2] F. Spitzer, Electrostatic Capacity, Heat Flow, and Brownian Motion, Z. für Wahrsch., 3 (1965-1966), 110-121. | Zbl 0126.33505

[3] G. Louchard, Hitting Probabilities for Brownian Motion, J. Math. and Phys., 44 (1965), 177-181.