Temperature inversion symmetry in the Casimir effect

1989 ◽  
Vol 40 (12) ◽  
pp. 4191-4192 ◽  
Author(s):  
F. Ravndal ◽  
D. Tollefsen
Keyword(s):  
Casimir Effect ◽  
Temperature Inversion ◽  
Inversion Symmetry

scholarly journals Modular invariance in finite temperature Casimir effect

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Francesco Alessio ◽  
Glenn Barnich
Keyword(s):  
Partition Function ◽  
Chemical Potential ◽  
Casimir Effect ◽  
Temperature Inversion ◽  
Massless Scalar ◽  
Partition Functions ◽  
Parallel Plates ◽  
Modular Transformations ◽  
Real Analytic ◽  
Set Up

Abstract The temperature inversion symmetry of the partition function of the electromagnetic field in the set-up of the Casimir effect is extended to full modular transformations by turning on a purely imaginary chemical potential for adapted spin angular momentum. The extended partition function is expressed in terms of a real analytic Eisenstein series. These results become transparent after explicitly showing equivalence of the partition functions for Maxwell’s theory between perfectly conducting parallel plates and for a massless scalar with periodic boundary conditions.

Temperature inversion symmetry in the Gross-Neveu model

1990 ◽  
Vol 249 (2) ◽  
pp. 266-268 ◽  
Author(s):  
F. Ravndal ◽  
C. Wotzasek
Keyword(s):  
Temperature Inversion ◽  
Inversion Symmetry ◽  
Gross Neveu Model

scholarly journals Confined Maxwell field and temperature inversion symmetry

2000 ◽  
Vol 482 (1-3) ◽  
pp. 323-328 ◽  
Author(s):  
F.C. Santos ◽  
A.C. Tort
Keyword(s):  
Temperature Inversion ◽  
Maxwell Field ◽  
Inversion Symmetry

Determination of the lattice translation across {110} APBs in GaAs

1988 ◽  
Vol 46 ◽  
pp. 600-601
Author(s):  
D.R. Rasmussen ◽  
N.-H. Cho ◽  
C.B. Carter
Keyword(s):  
Grain Boundaries ◽  
Lower Energy ◽  
Antiphase Boundary ◽  
The Other ◽  
Boundary Structure ◽  
Interface Plane ◽  
Inversion Symmetry ◽  
High Angle ◽  
Equilibrium Distance

Domains in GaAs can exist which are related to one another by the inversion symmetry, i.e., the sites of gallium and arsenic in one domain are interchanged in the other domain. The boundary between these two different domains is known as an antiphase boundary [1], In the terminology used to describe grain boundaries, the grains on either side of this boundary can be regarded as being Σ=1-related. For the {110} interface plane, in particular, there are equal numbers of GaGa and As-As anti-site bonds across the interface. The equilibrium distance between two atoms of the same kind crossing the boundary is expected to be different from the length of normal GaAs bonds in the bulk. Therefore, the relative position of each grain on either side of an APB may be translated such that the boundary can have a lower energy situation. This translation does not affect the perfect Σ=1 coincidence site relationship. Such a lattice translation is expected for all high-angle grain boundaries as a way of relaxation of the boundary structure.

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