A bstract We embed Nelson’s theory of stochastic quantization in the Schwartz-Meyer second order geometry framework. The result is a non-perturbative quantum mechanics on (pseudo-)Riemannian manifolds. Within this approach, we derive differential equations for massive spin-0 test particles charged under scalar potentials, vector potentials and gravity. Furthermore, associated Schrödinger equati...

 Casimir entropy is an important aspect of casimir effect and at the nanoscale is visible. In this paper, we employ the path integral method to ‎obtain a‎ ‎general‎ relation for casimir entropy and ‎i‎nternal energy of arbitrary shaped objects in the presence of two, three and four dimension scalar fields and ‎the‎ electromagnetic field. For this purpose, using Lagrangian and based on a perturb...

The present paper aims at investigating the manner of two dissipative massive scalar fields. Two massive scalar fields that interact with a reservoir were considered and a reservoir was modeled by continuum Klein-Gordon fields. The Lagrangian of the total system was canonically quantized and the dynamics of the system was determined using the Euler-Lagrange equation. Then, the explicit form of the...

Abstract Scalar Fields (SF) have emerged as natural candidates for dark energy quintessential or phantom fields, they are the main ingredient of inflation theories. Instead assuming some form scalar field potential, however, this work reconstructs SF potential directly from observational data, namely, Hubble and SNe Ia data. We show that two popular forms potentials, power-law quadratic free-fi...

In this paper, a non-interacting scalar field cosmology with an arbitrary potential using the f-deviser method that relies on differentiability properties of is investigated. Using alternative mathematical approach, unified dynamical system analysis at field's background and perturbation levels potentials presented. For illustration, monomial double exponential considered. These two classes com...