We present a mathematical framework for Galerkin formulations of path integrals in lattice field theory. The framework is based on using the degrees of freedom (DOFs) associated to a Galerkin ...
We present a method for the path integral formulation of electronic structure simulation. The time evolution operator is represented as matrix in a basis consisting of Deslauriers-Dubuc or Daubechies ...
New technologies are enabling scientists to tackle previously elusive physics problems. The macroscopic realm, which consists of everything from falling balls to orbiting planets, can be explained by ...
Abstract: In this work, we present a generalized formulation of the Transformer algorithm by reinterpreting its core mechanisms within the framework of Path Integral formalism. In this perspective, ...
ABSTRACT: We examined the fractional second-order singular Lagrangian systems. We wrote the action principal function and equations of motion as fractional total differential equations. Also, we ...
Abstract: The Vehicle Routing Problem (VRP) is a crucial combinatorial optimization problem in transportation, logistics, and supply chain management. Quantum computing has gained interest in solving ...
Currently, most ophthalmic drugs are administered in the form of eye-drops. With a single eye-drop, only about 5% of the drug administered is absorbed by ocular tissue, and the rest is lost through ...
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