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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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Solusi Persamaan Klein-Gordon Nonlinear untuk Partikel Bebas Prayitno, Teguh Budi
Jurnal Fisika dan Aplikasinya Vol 8, No 1 (2012)
Publisher : Lembaga Penelitian dan Pengabdian Kepada Masyarakat, LPPM-ITS

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (48.852 KB) | DOI: 10.12962/j24604682.v8i1.863

Abstract

Pada makalah ini telah dikaji persamaan Klein-Gordon nonlinear yang dirumuskan melalui dua persamaan hukum kekekalan energi klasik, yaitu persamaan Hamilton-Jacobi dan kontinuitas. Secara umum, persamaan ini diturunkan melalui analogi yang sama pada penurunan persamaan nonlinear Schrodinger yang tidak menggunakan dua postulat di dalam mekanika kuantum, yaitu postulat Einstein dan de Broglie mengenai kuantisasi energi dan momentum linear. Asumsi yang digunakan pada penurunan persamaan tersebut adalah mengambil postulat bahwa persamaan Hamilton-Jacobi tetap berlaku dalam sistem mikroskopik. Solusi partikel bebas untukpersamaan Klein-Gordon nonlinear ini mempunyai solusi  khusus berupa solusi gelombang bidang monokromatik. Di samping itu, telah di bahas pula bentuk umum persamaan Klein-Gordon nonlinear yang memasukkan unsur potensial eksternal.
ANALISIS KUALITAS INTENSITAS LASER ATOM TERKOPEL LEMAH Teguh Budi Prayitno; Iwan Sugihartono
POSITRON Vol 5, No 2 (2015)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam, Univetsitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (163.81 KB) | DOI: 10.26418/positron.v5i2.12861

Abstract

Dalam makalah ini telah dikaji beberapa profil intensitas laser atom terkopel lemah untuk beberapa parameter yang didapatkan dengan menyelesaikan persamaan Schrödinger yang merepresentasikan persamaan gerak laser atom. Persamaan Schrödinger ini hasil reduksi dari persamaan Gross-Pitaevskii yang terkopel antara kondensat dan atom laser, dimana laser atom tersebut dikeluarkan dari kondensat. Pada kasus ini, kita hanya meninjau perambatan laser atom dalam arah longitudinal karena kita mengambil kasus perangkap berbentuk cerutu (cigar-shaped trap).  
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
Publisher : UI Scholars Hub

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Abstract

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
Publisher : UI Scholars Hub

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Abstract

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
Publisher : UI Scholars Hub

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Abstract

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
Publisher : UI Scholars Hub

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Abstract

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.
KARAKTERISASI MORFOLOGI DAN KOMPOSISI LAPISAN KOMPOSIT NI-TIN-ALN/SI3N4 DENGAN METODE ELEKTRODEPOSISI RAPAT ARUS PULSA Maulida, Alayya Binta; Budi, Esmar; Prayitno, Teguh Budi
PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Vol. 12 (2024): PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) SNF2023
Publisher : Program Studi Pendidikan Fisika dan Program Studi Fisika Universitas Negeri Jakarta, LPPM Universitas Negeri Jakarta, HFI Jakarta, HFI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/03.1201.FA29

Abstract

Abstrak Pelapisan logam banyak dilakukan oleh industrialis untuk menyesuaikan morfologi permukaan, kinerja keausan, daya rekat dan kekuatan bahan substrat tanpa mengubah sifat asli substrat. Pembentukan lapisan komposit Ni-TiN-AlN/Si3N4 pada Tungsten Karbida (WC) telah dilakukan untuk menganalisis pengaruh rapat arus pulsa sebesar 0,4 mA/mm2 terhadap morfologi, komposisi, dan tebal lapisan komposit Ni-TiN-AlN/Si3N4. Pelapisan menggunakan metode elektrodeposisi pada suhu 40ºC dengan laju pengadukan 600 rpm selama 30 menit. Komposisi yang digunakan adalah NiCl2.6H2O 0,17 M, Ni2SO4.6H2O 0,38 M, TiN 6 g/L, AlN 6 g/L, Si3N4 0,6 g/L, H3BO3 0,49 M dan SDS (Sodium Dodecyl Sulfate) 0,6 g/L. Hasil penelitian menunjukkan adanya kandungan unsur logam Ni, Ti, Al, serta Si dengan tebal lapisan komposit yang terbentuk yaitu 1,121 μm. Pemindaian morfologi menunjukkan permukaan yang kasar serta terjadinya aglomerasi pada permukaan substrat. Kata-kata kunci: lapisan komposit Ni-TiN-AlN/Si3N4, elektrodeposisi, rapat arus pulsa, morfologi permukaan. Abstract Metal coatings are widely used by industrialists to adjust the surface morphology, wear performance, adhesion and strength of the substrate material without changing the original properties of the substrate. The formation of the Ni-TiN-AlN/Si3N4 composite layer on Tungsten Carbide (WC) was carried out to analyze the effect of the pulse current density of 0,4 mA/mm2 on the morphology, composition, and thickness of the Ni-TiN-AlN/Si3N4 composite layer. The coating was deposited using the electrodeposition technique at 40ºC with a stirring rate of 600 rpm for 30 minutes. The compositions used NiCl2.6H2O 0,17 M, Ni2SO4.6H2O 0,38 M, TiN 6 g/L, AlN 6 g/L, Si3N4 0,6 g/L, H3BO3 0,49 M and SDS (Sodium Dodecyl Sulfat) 0,6 g/L. The results showed the presence of metal elements Ni, Ti, Al, and Si with the thickness of the composite layer formed was 1.121 μm. Morphological scanning showed a rough surface as well as agglomeration on the surface of the substrate. Keywords: Ni-TiN-AlN/Si3N4 composite layer, electrodeposition, pulse current density, surface morphology.
ANALISIS MORFOLOGI DAN KOMPOSISI LAPISAN KOMPOSIT NI-ALN MENGGUNAKAN METODE ELEKTRODEPOSISI DENGAN RAPAT ARUS PULSA Rosadi, Muhammad Rayhan; Budi, Esmar; Prayitno, Teguh Budi
PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Vol. 12 (2024): PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) SNF2023
Publisher : Program Studi Pendidikan Fisika dan Program Studi Fisika Universitas Negeri Jakarta, LPPM Universitas Negeri Jakarta, HFI Jakarta, HFI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/03.1201.FA30

Abstract

Abstrak Pada penelitian ini telah dilakukan pendeposisian lapisan komposit Ni-AlN pada logam Tungsten Karbida (WC) dengan menggunakan rapat arus pulsa sebesar 0,4 mA/mm2. Pendeposisian lapisan komposit Ni-AlN dilakukan dengan metode elektrodeposisi selama 30 menit pada suhu 40ºC dengan laju pengadukan 600 rpm. Berdasarkan hasil karakterisasi SEM-EDS, lapisan komposit Ni-AlN dengan perbesaran 1000x menunjukkan bahwa adanya retakan pada permukaan substrat dan hanya merata pada beberapa bagian sehingga permukaan lapisan komposit Ni-AlN terlihat kasar. Hasil pemindaian EDS juga menunjukkan keberhasilan lapisan komposit Ni-AlN yang terbentuk dengan adanya kandungan logam Ni dan Al. Kata-kata kunci: Elektrodeposisi, Kandungan Unsur, Morfologi, Komposit Ni-AlN, Rapat Arus Pulsa. Abstract In this study, Ni-AlN composite coatings have been deposited on Tungsten Carbide by using a pulse current density of 0,4 mA. The Ni-AlN composite coatings were carried out by using the electrodeposition method for 30 minutes at 40°C with a stirring rate of 600 rpm. The SEM-EDS characterization results confirmed that the Ni-AlN composite coatings with a magnification of 1000x show that there were cracks on the surface of the substrate and were only evenly distributed in some parts so that the Ni-AlN composite coatings exhibit rough surface morphology. The corresponding EDS scan also shows the Ni-AlN composite coatings formed in the presence of Ni and Al metals successfully. Keywords: Electrodeposition, Element Content, Morphology, Ni-AlN Composite, Pulse Current Density.
FABRIKASI LAPISAN KOMPOSIT NI-TIN PADA TUNGSTEN KARBIDA DENGAN METODE ELEKTRODEPOSISI RAPAT ARUS PULSA Maulana, Ajis; Budi, Esmar; Prayitno, Teguh Budi
PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Vol. 12 (2024): PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) SNF2023
Publisher : Program Studi Pendidikan Fisika dan Program Studi Fisika Universitas Negeri Jakarta, LPPM Universitas Negeri Jakarta, HFI Jakarta, HFI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/03.1201.FA31

Abstract

Abstrak Lapisan Ni-TiN dapat meningkatkan kekerasan, menghalangi difusi ke substrat, dan mencegah oksidasi saat suhu tinggi. Ni dan TiN dipilih karena dapat meningkatkan sifat tangguh dan kekuatan deformasi pada substrat. Tungsten karbida dilapisi untuk menyesuaikan permukaan, keausan, daya rekat, dan kekuatan substrat tanpa mengubah sifat asli. Pembentukan lapisan komposit Ni-TiN dilakukan pada tungsten karbida untuk menganalisis pengaruh rapat arus pulsa 0,4 mA/mm2 terhadap morfologi dan komposisi lapisan komposit Ni-TiN. Elektrodeposisi pulsa menggunakan rangkaian astable multivibrator dengan IC 555 sebagai pulse generator dan melalui osiloskop akan terbaca output berupa gelombang arus kotak dengan panjang gelombang tertentu. Proses elektrodeposisi dilakukan selama 30 menit pada suhu 40ºC dengan laju pengadukan 600 rpm. Pemindaian morfologi menggunakan Scanning Electron Microscope (SEM) dengan skala 20 μm menunjukkan permukaan yang kasar, sebaran atom-atom tidak merata serta adanya retakan pada permukaan substrat. Hasil pemindaian Energy Dispersive X – Ray Spectroscopy (EDS) menunjukkan keberhasilan lapisan yang terbentuk dengan adanya kandungan unsur logam Ni dan TiN. Kata-kata kunci: Tungsten Karbida, Pelapisan, Elektrodeposisi, SEM. Abstract The Ni-TiN coating can increase hardness, inhibit diffusion to the substrate, and prevent oxidation at high temperatures. Ni and TiN were chosen because they can increase the toughness and deformation strength of the substrate. Tungsten carbide is coated to match the surface, wear, adhesion and strength of the substrate without changing the original properties. The formation of the Ni-TiN composite layer was carried out on tungsten carbide to analyze the effect of the pulse current density of 0.4 mA/mm2 on the morphology and composition of the Ni-TiN composite layer. The pulse electrodeposition uses an astable multivibrator circuit with IC 555 as a pulse generator and through an oscilloscope the output will be read in the form of a square current wave with a certain wavelength. The electrodeposition process was performed at 40° C. for 30 minutes with a stirring speed of 600 rpm. Morphological examination using a Scanning Electron Microscope (SEM) with a scale of 20 μm revealed a rough substrate surface with an inhomogeneous distribution of atoms and cracks on the surface. The results of Energy Dispersive X-Ray Spectroscopy (EDS) scans indicated the successful formation of the coating in the presence of the metallic elements Ni and TiN. Keywords: Tungsten Carbide, Coating, Electrodeposition, SEM.
SOLUSI PERSAMAAN SCHRÖDINGER UNTUK MOLEKUL DIATOMIK SEDERHANA MENGGUNAKAN FUNGSI GELOMBANG SATU PARAMETER SLATER-TYPE ORBITAL Riyanto, Fiqri Aditya; Prayitno, Teguh Budi; Sarwono, Yanoar Pribadi
PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Vol. 12 (2024): PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) SNF2023
Publisher : Program Studi Pendidikan Fisika dan Program Studi Fisika Universitas Negeri Jakarta, LPPM Universitas Negeri Jakarta, HFI Jakarta, HFI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/03.1201.FA37

Abstract

Abstrak Dalam paper ini kami menyajikan solusi persamaan Schrödinger untuk molekul diatomik sederhana menggunakan fungsi gelombang satu parameter Slater-type orbital. Fungsi gelombang disusun dengan pendekatan orbital molekul, dan dilanjutkan dengan optimasi eksponen orbital. Kami mengevaluasi 128 suku integral orbital molekul secara analitik untuk memperoleh energi total, dan kami menyajikan kurva energi potensial untuk bonding configuration dan menganalisis bagaimana proses disosiasi kedua atom. Hasil kami mendekati dengan perhitungan yang akurat dan menunjukkan peningkatan dari perhitungan standar. Kami juga membandingkan penggunaan Slater-type orbital dan Gaussian-type orbital serta perilakunya terhadap fungsi orbital 1s. Kata-kata kunci: Persamaan Schrödinger, Slater-Type Orbital, Pendekatan MO, Solusi analitik. Abstract In this paper we present the solution of Schrödinger equation for simple diatomic molecules using the one-parameter Slater-type orbitals wave function. The wave function is constructed with the molecular orbital approach, and continued by orbital exponent optimization. We evaluating 128 molecular orbital integral terms analytically to obtain total energy, and we serve the potential energy curves for the bonding configuration and analyze how the dissociation process of two atoms. Our results are in good agreement with the accurate calculations and show good improvement than the standard calculations. We also compare the use of Slater-type and Gaussian-type orbitals and its behavior to the 1s orbital functions. Keywords: Schrödinger equation, Slater-Type Orbital, MO approaches, Analytical solution.
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