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Quantum Mechanics on S^1, S^2 and Lorentz Group
Hyuncheol Song,조상규 한국물리학회 2011 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.59 No.6
We discuss the process to quantize systems of a charged particle on S^1 and S^2. We also add magnetic fields to allow a diversity of resulting quantum structures. The commutator algebras are shown to be the Lorentz algebras so(1, 2) and so(1, 3). However, in the case of S^2 where the magnetic field is due to a magnetic monopole at the center, we show that the constraints, expressed as operator equations, depend on the quantum number of the monopole. Therefore, the representation spaces are classified by using the monopole number.
Jae Hak Sohn,Hyuncheol Oh,Jee H. Jung,Song-Ja Bae 한국식품영양과학회 2005 Preventive Nutrition and Food Science Vol.10 No.3
Marine sponges are known to produce a number of cytotoxic secondary metabolites. In the course of searching for cytotoxic metabolites from marine organisms, we have evaluated cytotoxic activities of six marine secondary metabolites isolated from various sponges. The cytotoxic compounds 1~6 were isolated by the application of various chromatographic methods, including column chromatography and HPLC. The molecular structures were mostly determined using mass spectrometry (MS) and Nuclear Magnetic Resonance (NMR) Spectroscopy. Furanosestererpenes (compounds 1~3) from Psammocinia sp., cyclitol derivatives (compounds 4 and 5) from Sarcotragus sp., and bromotyrosine-type compound (6) from an association of two sponges Jaspis wondoensis and Poecillastra wondoensis were evaluated for their cytotoxic activity against three cancer cell lines; Hep G2, HeLa, and MCF-7. All tested compounds exhibited cyctoxicity at concentrations ranging from 5 ㎍/mL to 25 ㎍/mL. Particularly, among the tested compounds, compound 6 showed the highest potency displaying at least 80% of cytotoxicity at 5 ㎍/mL level against all three cancer cell lines.