Aba Teleki | Searcharxiv

arXiv2015

The Role of Dimensional Analysis in Teaching Physics

Dimensional analysis is a simple qualitative method for determining essential connections between physical quantities. It is applicable to a multitude of physics problems, many of which canbe introduced early on in a university physics curriculum. Despite the relative simplicity of theapproach, it is rarely included in physics curricula. Here, we apply dimensional analysis to find the radiated power from an electric dipole. Employing dimensional analysis, we demonstrate a straightforward way to derive the latter without the need for complex mathematical treatments.

physics.ed-ph↗

arXiv2006

On Quantum Field Theories in Operator and Functional Integral Formalisms

Relations and isomorphisms between quantum field theories in operator and functional integral formalisms are analyzed from the viewpoint of inequivalent representations of commutator or anticommutator rings of field operators. A functional integral in quantum field theory cannot be regarded as a Newton-Lebesgue integral but rather as a formal object to which one associates distinct numerical values for different processes of its integration. By choosing an appropriate method for the integration of a given functional integral, one can select a single representation out of infinitely many inequivalent representations for an operator whose trace is expressed by the corresponding functional integral. These properties are demonstrated with two exactly solvable examples.

hep-th↗