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Journal of Mathematical and Fundamental Sciences Vol. 46 Issue 3 2014

Vol. 46 No. 3 (2014)

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Explore peer-reviewed research articles published in this issue.

researchpp. 205–223

Bound State Solution of Dirac Equation for Generalized Pöschl-Teller plus Trigomometric Pöschl-Teller Non- Central Potential Using SUSY Quantum Mechanics

The bound state solution of the Dirac equation for generalized Pöschl-Teller and trigonometric Pöschl-Teller non-central potentials was obtained usingSUSY quantum mechanics and the idea of shape invariance potential. Theapproximate relativistic energy spectrum was expressed in the closed form. Theradial and polar wave functions were obtained using raising and lowering ofradial and polar operators. The orbital quantum numbers were found from thepolar Dirac equation, which was solved using SUSY quantum mechanics and theidea of shape invariance.

Keywords
bound state solution Dirac equation generalized Pöschl-Teller potential non-central potentials SUSY quantum mechanics trigonometric Pöschl-Teller potential
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researchpp. 224–234

Antibacterial Curcuma xanthorrhiza Extract and Fractions

An acetone extract of Curcuma xanthorrhiza rhizomes and the n-hexane and chloroform fractions obtained from it were tested on eight pathogenic bacteria. The results showed that the acetone extract and the nhexane fraction exhibited significant activities against Bacillus subtilis, Pseudomonas aeruginosa, and Staphylococcus aureus, and weak activities against Shigella dysenteriae and Vibrio cholerae. They were inactive against Escherichia coli, Enterobacter aerogenes and Salmonella thypi, while the chloroform fraction was devoid of activities. NMR analysis disclosed the presence of…

Keywords
α-curcumene antibacterial Curcuma xanthorrhiza curcumin xanthorrhizol NMR analysis TOCSY-1D
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researchpp. 235–250

Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential Equations

Problems that arise out of an industrial context normally have clear cut objectives, and the results are usually important in context but of limited general interest. Sometimes, however, the investigations lead to results that are both unexpected and of much broader interest. Two such investigations are described here. In the first problem an investigation of the propagation of light rays across the ocean leads to new results concerning optical distortion. In the second problem a surface tension investigation leads to an entirely new technique for solving partial differential equations.

Keywords
Optical refraction boundary tracing partial differential equations exact solutions
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researchpp. 251–268

Modified Convective Stratiform Technique (CSTm) Performance on Rainfall Estimation in Indonesia

This study has analyzed a rainfall estimation using a modified convective stratiform technique (CSTm). Unlike the original convective stratiform technique (CST), which only utilizes infrared (IR) data, CSTm applies not only IR data but also passive microwave (PMW) data. Two major modifications contained in CSTm are: (1) the application of a variability index (VI) method that uses PMW data to perform convective and stratiform separation,and (2) the ability to determine the average extensive coverage of the new areas of each pixel point as a result of the utilization of the PMW data. In this…

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researchpp. 269–277

Litsea cubeba Essential Oil Yield Harvested from Different Habitat Types on Mt. Papandayan, West Java, Indonesia

The objective of this research was to determine the yield and chemical composition of Litsea cubeba essential oil harvested from different habitat types on Mount Papandayan, West Java, Indonesia. The methods used were determination of sample plots at each habitat, followed by laboratory testing. Leaf samples were taken from each plot, the oil was extracted in the laboratory using steam distillation, which was subsequently analyzed by GC-MS. The results showed that the yield of essential oil was high (2.76-9.33%). The three dominant chemical compounds found were eucalyptol (16.97-55.78%),…

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researchpp. 278–289

Marmin of Aegle Marmelos Correa Antagonizes AChM3 Receptors: In Silico and In Vitro Studies on Isolated-Guinea Pig Illeum Smooth Muscle

Marmin is a coumarin derivative compounds isolated from the bark and roots of Aegle Marmelos Correa. Previously, ethanolic extract of leaves of Aegle Marmelos Correa on isolated ileum showed antagonism effect on the contraction induced by histamine. Besides H1 receptor, there is also muscarinic acetylcholine (AChM)receptors involved in the mechanism of ileum contraction. Marmin is predicted to antagonize on AChM3 receptors.This study aimed to determine the effect of marmin on smooth muscle contraction of isolated guinea pig ileum induced by metacholine, an agonist of AChM3 receptor. The…

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researchpp. 290–300

Dynamical Model for Transmission of West Nile Virus in Chicken-Mosquito Interaction

The West Nile virus (WNV) is transmitted through the bites of infected mosquitoes. The spread of WNV in chicken populations is quite unique. Although chickens can contract the virus through a mosquito bite, they immediately build immunity to the virus and do not show physical symptoms of illness and hence chickens are only temporary carriers of the virus. Recently, experimental results have shown that mosquitoes do not change fecundity behavior, yet results indicate that resistance to infection is associated with afitness cost in terms of mosquito survival. We constructed a host-vector type…

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researchpp. 301–312

Induction of Somatic Embryos from Leaf and Stem Nodal Section Explants of Potato (Solanum tuberosum L.)

Somatic embryogenesis can be used as an alternative method to obtain high-quality potato seedlings. This research was conducted in order to evaluate: the potential of different types of explants to produce somatic mbryos;combinations of 2,4-D and BAP for somatic embryo induction; and the ability of BAP to act as growth regulator for the somatic embryo maturation process.Young leaf and stem nodal sections were cultured in MS media supplemented with 2,4-D and BAP. The developing calli were then transferred into media containing several concentrations of 2,4-D and BAP. The embryogenic calli were…

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