scholarly journals Null second order corrections to Casimir energy in weak gravitational field: the Schwinger's approach

2021 ◽  
Vol 2021 (01) ◽  
pp. 056-056
Author(s):  
A.P.C.M. Lima ◽  
G. Alencar ◽  
R.R. Landim
Keyword(s):  
Gravitational Field ◽  
Casimir Energy ◽  
Second Order ◽  
Weak Gravitational Field

scholarly journals Null second order corrections to Casimir energy in weak gravitational field

2019 ◽  
Vol 2019 (07) ◽  
pp. 011-011 ◽  
Author(s):  
A.P.C.M Lima ◽  
G. Alencar ◽  
C.R. Muniz ◽  
R.R. Landim
Keyword(s):  
Gravitational Field ◽  
Casimir Energy ◽  
Second Order ◽  
Weak Gravitational Field

Electromagnetic thermal corrections to Casimir energy

2016 ◽  
Vol 31 (22) ◽  
pp. 1650127 ◽  
Author(s):  
Borzoo Nazari
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Scalar Field ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Parallel Plates ◽  
Weak Gravitational Field

In [B. Nazari, Mod. Phys. Lett. A 31, 1650007 (2016)], we calculated finite temperature corrections to the energy of the Casimir effect of two conducting parallel plates in a general weak gravitational field. The calculations was done for the case a scalar field was present between the plates. Here we find the same results in the presence of an electromagnetic field.

Thermal corrections to the Casimir energy in a general weak gravitational field

2016 ◽  
Vol 31 (02) ◽  
pp. 1650007 ◽  
Author(s):  
Borzoo Nazari
Keyword(s):  
Gravitational Field ◽  
Casimir Effect ◽  
Quantum Statistical Mechanics ◽  
Temperature Limit ◽  
Casimir Energy ◽  
Zero Temperature ◽  
Parallel Plates ◽  
Gravitational Fields ◽  
Weak Gravitational Field ◽  
Klein Gordon

We calculate finite temperature corrections to the energy of the Casimir effect of a two conducting parallel plates in a general weak gravitational field. After solving the Klein–Gordon equation inside the apparatus, mode frequencies inside the apparatus are obtained in terms of the parameters of the weak background. Using Matsubara’s approach to quantum statistical mechanics gravity-induced thermal corrections of the energy density are obtained. Well-known weak static and stationary gravitational fields are analyzed and it is found that in the low temperature limit the energy of the system increases compared to that in the zero temperature case.

scholarly journals Some effects on relativistic quantum systems due to a weak gravitational field

2005 ◽  
Vol 35 (4b) ◽  
pp. 1110-1112 ◽  
Author(s):  
Geusa de A. Marques ◽  
Sandro G. Fernandes ◽  
V. B. Bezerra
Keyword(s):  
Gravitational Field ◽  
Relativistic Quantum ◽  
Quantum Systems ◽  
Weak Gravitational Field
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