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Decomposition and estimation of gauge transformation for Chern-Simons-Antoniadis-Savvidy forms Hamdan, Suhaivi; Amiruddin, Erwin
Science, Technology and Communication Journal Vol. 2 No. 3 (2022): SINTECHCOM Journal (June 2022)
Publisher : Lembaga Studi Pendidikan and Rekayasa Alam Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59190/stc.v2i3.9

Abstract

Cartan's extended homotopy formula is set to obtain the Chern-Simons-Antoniadis-Savvidy (ChSAS) measurement form transformation. This indicates a change in each of the results that the quasi-invariance nature of the gauge with a closed shape under the meter transformation. The results of the initial calculation of the ChSAS form then show a singlet anomaly for each value of n as a dimension variation. These results have illustrated the relationship with the Chern-Simon form theory. The results of the final calculation of the ChSAS shape on the gauge transformation are then described in relation to the Zumino anomaly which reaches an anomaly variation that depends on the p and n terms.
Schrödinger's equation as a Hamiltonian system Hamdan, Suhaivi; Amiruddin, Erwin
Science, Technology and Communication Journal Vol. 3 No. 1 (2022): SINTECHCOM Journal (October 2022)
Publisher : Lembaga Studi Pendidikan and Rekayasa Alam Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59190/stc.v3i1.221

Abstract

This article describes the concept of the time-dependent Schrödinger equation (TDSE) as a review to add a detailed understanding of the steps to formulate TDSE which can be seen from the classical mechanic's concept as a mechanical wave function. In this article, a comprehensive approach to the concepts of momentum and energy in particles will be described using operators working on wave functions. The results show that the use of momentum and energy operators can show that TDSE is a Hamiltonian system.