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All Journal POSITRON JFA (Jurnal Fisika dan Aplikasinya) Spektra: Jurnal Fisika dan Aplikasinya Communications in Science and Technology PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Makara Journal of Science Mitra Teras: Jurnal Terapan Pengabdian Masyarakat
Teguh Budi Prayitno
Department Of Physics, Faculty Of Mathematics And Natural Sciences, Universitas Negeri Jakarta, Jakarta 13220, Indonesia
Aerospace Engineering Humanities Electrical & Electronics Engineering Energy Engineering Materials Science & Nanotechnology Physics Other

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Journal : Makara Journal of Science

 1 
Discrete Energies of a Weakly Outcoupled Atom Laser Beam Outside the Bose–Einstein Condensate Region Prayitno, Teguh Budi
Makara Journal of Science Vol. 18, No. 4
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We consider the possibility of a discrete set of energies of a weakly outcoupled atom laser beam to the homogeneous Schrödinger equation with anisotropic harmonic trap in Cartesian coordinates outside the Bose–Einstein condensate region. This treatment is used because working in the cylindrical coordinates is not really possible, even though we implement the cigar-shaped trap case. The Schrödinger equation appears to replace a set of two-coupled Gross– Pitaevskii equations by enabling the weak-coupling assumption. This atom laser can be produced in a simple way that only involves extracting the atoms in a condensate from by using the radio frequency field. We initially present the relation between condensates as sources and atom laser as an output by exploring the previous work of Riou et al. in the case of theoretical work for the propagation of atom laser beams. We also show that even though the discrete energies are obtained by means of an approaching harmonic oscillator, degeneracy is only available in two states because of the anisotropic external potential
The Partition Function of the Bose-Einstein Condensation in Parabolic Trap Prayitno, Teguh Budi; Latifa, Sinta
Makara Journal of Science Vol. 16, No. 2
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We have discussed the partition function of the Bose-Einstein condensation in parabolic trap associated to the one dimensional Gross-Pitaevskii equation. The partition function itself is constructed by considering all the energy levels of the macroscopic quantum oscillator which is similar to statistical mechanics. The solutions of the energy levels for this case can be derived by pursuing the method that applies the time-independent perturbation theory. In this case, the one-dimensional Gross Pitaevskii equation can be treated as the one-dimensional macroscopic quantum oscillator on condition that the nonlinearity is very small. Moreover, the analytical expression for the ground state energy can be obtained by applying the method. However, the higher level states were not explicitly provided. In this research we followed up on the former work to derive explicitly the other states in order to formulate the partition function. However, we did not find the closed form of the partition function since the results of nonlinear term integral could not form the recursion relation. As a consequence, not only should the partition function but also the Helmholtz free energy and entropy should be reevaluated to check their convergences.
CORRECTION OF THE GROUND STATE ENERGY OF ONE-DIMENSIONAL GROSS-PITAEVSKII EQUATION WITH GAIN-LOSS TERM Prayitno, Teguh Budi
Makara Journal of Science Vol. 15, No. 2
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We consider the correction of ground state energy of one-dimensional Gross-Pitaevskii equation by adding a gain-loss term as a time-dependent external potential. The interesting purpose of this term is that it can be used to explain the experimental results especially in the nonlinear fiber optics regarding the pulse propagation and collapse-revival of the condensate in the Bose-Einstein condensation. In the Bose-Einstein condensation itself, the function can represent that condensate can interact with the normal atomic cloud. Some analytical solutions have been obtained by choosing an ansatz solution of the wave function and its solution can be dark or bright soliton. Since the Gross-Pitaevskii equation can be treated as a macroscopic quantum oscillator, we can use time-dependent perturbation theory as in ordinary quantum mechanics to find the ground state energy correction if we assume other terms to be very small. In addition, time-dependent potential allows a transition from one energy level to others. In this case, we expand the solution of nonstationary one-dimensional wave function as a linear superposition of harmonic oscillator normalized eigen functions. To get the recursive formulas, we suggest an option to formulate the coefficients after inserting the initial condition which must be satisfied such as in quantum mechanics.
INFLUENCE OF THE HIGHER ORDER DERIVATIVES ON THE PLANET PERIHELION PRECESSION IN THE EINSTEIN FIELD EQUATIONS FOR VACUUM CONDITION Prayitno, Teguh Budi
Makara Journal of Science Vol. 15, No. 1
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This paper studies the effect of higher order derivative tensor in the Einstein field equations for vacuum condition on the planet perihelion precession. This tensor was initially proposed as the space-time curvature tensor by Deser and Tekin on discussions about the energy effects caused by this tensor. However, they include this tensor to Einstein field equations as a new model in general relativity theory. This is very interesting since there are some questions in cosmology and astrophysics that have no answers. Thus, they hoped this model could solve those problems by finding analytical or perturbative solution and interpreting it. In this case, the perturbative solution was used to find the Schwarzschild solution and it was also applied to consider the planetary motion in the solar gravitational field. Furthermore, it was proven that the tensor is divergence-free in order to keep the Einstein field equations remain valid.
Co-Authors Achmad Jaelani Arsyan Fadilah Bayyinah Budiawan , Muhammad Ardi Budiawan, Muhammad Ardi Dhea Laila Putri Afifah Dwi Susanti Esmar Budi Esmar Budi Hakim, Difa Farhani Haris Suhendar Haris Suhendar Irsya Luthfiah Ramadhyagita Iwan Sugihartono Latifa, Sinta Maulana, Ajis Maulana, Slamet Maulida, Alayya Binta Muhammad Rizky Anugrah Nurhasanah, Gina Riyanto, Fiqri Aditya Rosadi, Muhammad Rayhan Sabrina, Putri Marsha Sarwono, Yanoar Pribadi Sinta Latifa Upik Rahma Fitri, Upik Rahma Vivi Fitriyani