%0 Journal Article %T Finite Time Domain Dynamics of Scalar Fields %A Emmanouil George Thrapsaniotis %J Journal of Applied Mathematics and Physics %P 454-464 %@ 2327-4379 %D 2025 %I Scientific Research Publishing %R 10.4236/jamp.2025.132024 %X In the present paper, we study the finite time domain dynamics of a scalar field interacting with external sources. We expand both the scalar field and the corresponding Hamiltonian in annihilation and creation operators and evaluate the relevant path integral. So, we get the Green function within a finite time interval. We apply the solution to the relevant Cauchy problem and further, we study the dynamics of scalar fields coupled with electromagnetic fields via perturbative methods. %K Scalar Fields %K Finite Time Evolution %K Electromagnetic Field %K Perturbative Methods %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=140655