59 citations · 895 across the 77 of their papers we have counts for
11 papers · 1 filter
Repulsive Casimir force at zero and finite temperature
S. C. Lim, L. P. Teo
We study the zero and finite temperature Casimir force acting on a perfectly conducting piston with arbitrary cross section moving inside a closed cylinder with infinitely permeabl…
Conformal weldings and Dispersionless Toda hierarchy
Lee-Peng Teo
Given a homeomorphism of the unit circle , let and be respectively the normalized conformal maps from the unit disc and its exterior so that on…
Finite temperature Casimir effect in piston geometry and its classical limit
S. C. Lim, L. P. Teo
We consider the Casimir force acting on a -dimensional rectangular piston due to massless scalar field with periodic, Dirichlet and Neumann boundary conditions and electromagnet…
Three dimensional Casimir piston for massive scalar fields
S. C. Lim, L. P. Teo
We consider Casimir force acting on a three dimensional rectangular piston due to a massive scalar field subject to periodic, Dirichlet and Neumann boundary conditions. Exponential…
The Weil--Petersson geometry of the moduli space of Riemann surfaces
Lee-Peng Teo
In [4], Z. Huang showed that in the thick part of the moduli space of compact Riemann surfaces of genus , the sectional curvature of the Weil--Petersson metric i…
Gaussian fields and Gaussian sheets with generalized Cauchy covariance structure
S. C. Lim, L. P. Teo
Two types of Gaussian processes, namely the Gaussian field with generalized Cauchy covariance (GFGCC) and the Gaussian sheet with generalized Cauchy covariance (GSGCC) are consider…
On the minima and convexity of Epstein Zeta function
S. C. Lim, L. P. Teo
Let be the Epstein zeta function defined as the meromorphic continuation of the function \sum_{k\in\Z^n\setminus\{0\}}(\sum_{i=1}^n [a_i k_i]^2)^{-s}, \text{…
Finite temperature Casimir energy in closed rectangular cavities: a rigorous derivation based on zeta function technique
S. C. Lim, L. P. Teo
We derive rigorously explicit formulas of the Casimir free energy at finite temperature for massless scalar field and electromagnetic field confined in a closed rectangular cavity…
Finite Temperature Casimir Effect for a Massless Fractional Klein-Gordon field with Fractional Neumann Conditions
C. H. Eab, S. C. Lim, L. P. Teo
This paper studies the Casimir effect due to fractional massless Klein-Gordon field confined to parallel plates. A new kind of boundary condition called fractional Neumann conditio…
Topological symmetry breaking of self--interacting fractional Klein--Gordon field on toroidal spacetime
S. C. Lim, L. P. Teo
Quartic self--interacting fractional Klein--Gordon scalar massive and massless field theories on toroidal spacetime are studied. The effective potential and topologically generated…
Fractional oscillator process with two indices
S. C. Lim, L. P. Teo
We introduce a new fractional oscillator process which can be obtained as solution of a stochastic differential equation with two fractional orders. Basic properties such as fracta…