Casimir energy of Sierpinski triangles

Shajesh, K.V. ; Parashar, P. ; Cavero-Peláez, I. ; Kocik, J. ; Brevik, I.

Resumen: Using scaling arguments and the property of self-similarity we derive the Casimir energies of Sierpinski triangles and Sierpinski rectangles. The Hausdorff-Besicovitch dimension (fractal dimension) of the Casimir energy is introduced and the Berry-Weyl conjecture is discussed for these geometries. We propose that for a class of fractals, comprising compartmentalized cavities, it is possible to establish a finite value to the Casimir energy even while the Casimir energy of the individual cavities consists of divergent terms.

Idioma: Inglés

DOI: 10.1103/PhysRevD.96.105010

Año: 2017

Publicado en: PHYSICAL REVIEW D 96, 10 (2017), 105010 [7 pp]
ISSN: 2470-0010

Factor impacto JCR: 4.394 (2017)

Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 15 / 66 = 0.227 (2017) - Q1 - T1
Categ. JCR: PHYSICS, PARTICLES & FIELDS rank: 7 / 29 = 0.241 (2017) - Q1 - T1

Factor impacto SCIMAGO: 1.801 - Physics and Astronomy (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-2
Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2015-12

Tipo y forma: Article (Published version)