Judul: Solusi Semi Analitik Persamaan Schrödinger dari Osilator Harmonik dan Anharmonik yang Dipengaruhi Potensial Delta
Abstrak: In this research a simple modeling will be made for BCS to the BEC crossover so it can be observed in dimension of space. Explanation of BCS to the BEC crossover will be modeled on the harmonic oscillator or anharmonik oscillator which influenced by delta potential and pairing constant (g) so the particles can be studied in dimensions of space . The purpose of this study is to observed the changes in the eigenfunctions and eigenvalues of the harmonic oscillator and the anharmonik oscillator due the influence of delta potensial on several g values . The results obtained in the ground state are the increase in the g values will make the eigenfunction localized at the point of equilibrium and it’s eigenvalues will drop. In other energy levels , increase in the g values will drop the eigenfunctions and eigenvalues to a saturation point with exception at odd level of the harmonic oscillator eigenfunction. Futhermore, in anharmonic oscillator, usage of g over a certain values can bring new eigenvalues and eigenfunctions.
Keyword: Bogor Agricultural University (IPB), Morse potential, harmonic oscillator, eigenvalues, eigenfunctions, delta potential

Judul: Solusi Problem Gaussian Pairing Dalam Basis Osilator Harmonik Menggunakan Teori Perturbasi Dan Metode Numerik
Abstrak: This study aims to determine the profile of the energy and the wave function of a harmonic oscillator system under the effect of a Gaussian potential. This function can be used to model such fermions. The solution of this problem can be described by more efficiently using a perturbation theory based on the harmonic oscillator. The first four levels of energy and the wave function has been described using the analytical method and Numerical Methods . These results are displayed in graphical form . Wave function is shown in graphic form relation between the wave function and atomic distance, whereas energy shown in the form of relation between energy and the pairing constant g. From the graph shows that the ground state and the first excitation energy of the system will decrease with increasing pairing constant g, whereas for the higher excitation energy of the system increases with increasing pairing constant g. This is because when the system is in the ground state and the first excitation, the system tends to be localized in one place, whereas at higher excitation , the system will often be not only in one place, but some places are indicated by the peaks of density of system . Energy system obtained from the analytical and numerical methods haven’t significant. This is mean that to analize a higher excitation state can use numerical methods such as Numerov Method and Shooting Method to be more efficient
Keyword: Shooting Method, Harmonic Oscillator, Numerov Method, Gaussian Pairing

Judul: Performa Produksi dan Kualitas Telur Ayam yang Diberi Imunisasi Lipase Menggunakan Adjuvan Quil A.
Abstrak: Pemberian imunisasi serta penambahan adjuvan dapat meningkatkan sistem kekebalan tubuh ayam. Penelitian bertujuan untuk mengetahui pengaruh imunisasi menggunakan lipase pankreas dan adjuvan Quil A dengan dosis bertingkat terhadap performa produksi serta kualitas telur. Rancangan percobaan yang digunakan adalah rancangan acak lengkap. Dua puluh empat ekor ayam petelur umur 16 minggu dibagi menjadi 4 kelompok yaitu kelompok A 0.25 mg lipase, B 0.50 mg lipase, C 1.00 mg lipase dan K sebagai kontrol. Tiap kelompok terdiri dari 6 ekor ayam. Pemberian imunisasi dilakukan pada minggu ke-6, 10 dan 14. Pengamatan produksi pada bobot telur dilakukan setiap hari mulai dari minggu ke-10 hingga minggu ke-16, penimbangan bobot badan dilakukan 4 minggu sekali pada minggu 1-16 setelah chick in. Pengamatan kualitas telur dilakukan pada minggu ke-11 dan minggu ke-15. Hasil penelitian menunjukan pemberian lipase dengan dosis 1.00 mg menurunkan performa produksi serta kualitas telur secara signifikan. Kesimpulan penelitian ini adalah: pemberian lipase dengan dosis 1.00 mg menurunkan bobot badan, bobot telur, tinggi putih telur dan Haugh Unit. Pemberian lipase dengan dosis maksimal 1 mg + Quil A tidak memberikan pengaruh signifikan terhadap penurunan bobot kuning telur, bobot kerabang serta tebal kerabang telur.
Keyword: adjuvan Quil A, ayam petelur, imunisasi, kualitas telur, performa produksi