scholarly journals Vacuum polarization by a scalar field in de Sitter spacetime in the presence of a global monopole

2010 ◽  
Vol 16 (2) ◽  
pp. 92-104
Author(s):  
E. R. Bezerra de Mello
Keyword(s):  
Scalar Field ◽  
Vacuum Polarization ◽  
De Sitter Spacetime ◽  
Global Monopole ◽  
De Sitter ◽  
Sitter Spacetime

scholarly journals Light in dielectric media and scalar fields in a de Sitter spacetime

2021 ◽  
Vol 81 (8) ◽  
Author(s):  
I. A. Pedrosa ◽  
B. F. Ramos ◽  
K. Bakke
Keyword(s):  
Scalar Field ◽  
Coherent States ◽  
Scalar Fields ◽  
Dielectric Medium ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Expectation Values ◽  
Dielectric Media ◽  
Sitter Spacetime ◽  
Constant Rate

AbstractIn the present work we discuss the behavior of light in a linear dielectric medium with a time-varying electric permittivity that increases exponentially at a constant rate and of a scalar field in a de Sitter spacetime, in both the classical and quantum contexts. Notably, we find that the behavior of these two systems are identical and can be described by similar Hamiltonians. By using the Lewis–Riesenfeld invariant method together with Fock states we solve the time-dependent Schrödinger equation for this problem and use its solutions to construct coherent states for the scalar field. Finally, we employ both the Fock and coherent states to evaluate some important properties of the quantized scalar field, such as expectation values of the amplitude and momentum of each mode their variances and the respective uncertainty principle.

scholarly journals AMPLITUDE OF COULOMB SCATTERING FOR CHARGED SCALAR FIELD IN DE SITTER SPACETIME

2010 ◽  
Vol 25 (20) ◽  
pp. 1679-1687 ◽  
Author(s):  
COSMIN CRUCEAN
Keyword(s):  
Scalar Field ◽  
Gordon Equation ◽  
Coulomb Scattering ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Scattering Process ◽  
Charged Scalar ◽  
Sitter Spacetime ◽  
Klein Gordon ◽  
Charged Scalar Field

The scattering of a charged scalar field on Coulomb potential is studied using solutions of the Klein–Gordon equation which have a definite momentum. One obtains that the modulus of momentum is not conserved in the scattering process on de Sitter space.

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