New aspects of the Casimir energy theory for a piecewise uniform string

Journal Article · Sun May 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.5319· OSTI ID:7206923

Brevik, I; Elizalde, E ^[1]

---

1. Department of Applied Mechanics, University of Trondheim, NTH, N-7034 Trondheim (Norway)

The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The string consists of two parts (I and II) each having in general different tension and mass density but adjusted in such a way that the velocity of sound always equals the velocity of light. This model was introduced by Brevik and Nielsen, and the present paper contains new developments of the theory, in particular, a very simple regularization of the energy density. Using the technique introduced by van Kampen, Nijboer, and Schram, the Casimir energy is written as a contour integral, from which the energy can be readily calculated, for arbitrary length [ital s]=[ital L][sub II]/[ital L][sub I] and tension [ital x]=[ital T][sub I]/[ital T][sub II] ratios. Also, the finite temperature version of the theory is constructed.

• OSTI ID: 7206923
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CASIMIR EFFECT
COMPOSITE MODELS
ENERGY
ENERGY DENSITY
EXTENDED PARTICLE MODEL
MASS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
STRING MODELS
TEMPERATURE DEPENDENCE