T. B. Prayitno
Universitas Negeri Jakarta

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Gauge Transformation of the Gross-Pitaevskii Equation Coupled by Time- Dependent Potential Prayitno, T. B.
Jurnal Spektra Vol 14, No 1 (2013): Spektra: Jurnal Fisika dan Aplikasinya
Publisher : Jurnal Spektra

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Abstract

We have presented some appropriate gauge transformations for the three-dimensional Gross-Pitaevskii equation coupled by time-dependent potential. The purpose of this paper is to determine both explicitly and implicitly all the functions to keep the present Gross-Pitaevskii equation by initially introducing the modified Gross-Pitaevskii and then imposing the condition of transformations which is adopted from the gauge transformation of classical electrodynamics. This work can be done since the present Gross-Pitaevskii equation can be manipulated to be gauge invariance after the wave function has been transformed through the local phase transformation. In this case, we only discuss its mathematical aspects and ignore the physical interpretation to open all the possibilities. However we have still imposed that all the lengths of vectors must be positive real to agree with the mathematical concept and found that only two cases can be explored since it is not possible to obtain the appropriate transformations, except we set the potential vector-like vectorto be zero and the phase to be an arbitrary function of time.Keywords: gauge transformations, Gross-Pitaevskii equation, gain-loss term.
MASSA KLASIK SOLITON PERSAMAAN SCHRÖDINGER NONLINEAR Prayitno, T. B.
BERKALA FISIKA Vol 14, No 3 (2011): Berkala Fisika
Publisher : BERKALA FISIKA

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Abstract

We have calculated classical mass of soliton of nonlinear Schrödinger equation in thecase of (1+1) space-time dimension. The equation describes the propagation of electromagneticwave in combination of dispersive-nonlinear medium. The propagation itself will create a stableelectromagnetic pulse. The first thing that must be done is to calculate analytical solution of onesoliton of nonlinear Schrödinger equation by transforming wave function and continuing byapplying direct integration. The definition of its classical mass is based on classical field theory bybeginning the construction of Lagrangian density and continuing Hamiltonian density of thatnonlinear equation. The Lagrangian density is obtained by trial function relating by Euler Lagrange that creates appropriate nonlinear Schrödinger equation.Keywords:Soliton,Nonlinear Schrödinger.
The Effect of External Electric Field on The Electrical and Magnetic Properties of NiCl2 Monolayer with Density Functional Theory Abdillah, M. A.; Prayitno, T. B.; Suprayoga, E.
Current STEAM and Education Research Vol. 1 No. 2 (2023): Current STEAM and Education Research, Volume 1 Issue 2, December 2023
Publisher : MJI Publisher by PT Mitra Jurnal Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58797/cser.010203

Abstract

The study utilized density functional theory (DFT) to investigate the impact of spin-orbit interaction and external electric fields on the NiCl2 monolayer. The results demonstrated a reduction in the energy band gap and a transition from an indirect semiconductor to a metal when different electric fields were applied. Additionally, the combination of external electric fields and spin-orbit interactions altered the band structure of the NiCl2 monolayer, leading to a transition from a semiconducting state to a metallic state. These findings have significant implications for spintronic device design, as they suggest the potential for controlling the electrical and magnetic properties of the NiCl2 monolayer, making it suitable for use in alternative spintronic devices.