• Bulletin of the Korean Chemical Society
• /
• 제32권12호
• /
• pp.4233-4238
• /
• 2011

Based on the exact quantization rule for the nonrelativistic Schrodinger equation, the exact quantization rule for the relativistic one-dimensional Klein-Gordon equation is suggested. Using the new quantization rule, the exact relativistic energies for exactly solvable potentials, e.g. harmonic oscillator, Morse, and Rosen-Morse II type potentials, are obtained. Consequently the new quantization rule is found to be exact for one-dimensional spinless relativistic quantum systems. Though the physical meanings of the new quantization rule have not been fully understood yet, the present formal derivation scheme may shed light on understanding relativistic quantum systems more deeply.

• Bulletin of the Korean Chemical Society
• /
• 제35권12호
• /
• pp.3443-3446
• /
• 2014

We present the solution of Klein Gordon equation with new generalized Morse-like potential using SUSYQM formalism. We obtained approximately the energy eigenvalues and the corresponding wave function in a closed form for any arbitrary l state. We computed the numerical results for some selected diatomic molecules.

• Journal of applied mathematics & informatics
• /
• 제28권5_6호
• /
• pp.1227-1237
• /
• 2010

In this paper, a Klein-Gordon equation is solved by using the homotopy analysis method (HAM), homotopy perturbation method (HPM) and modified homotopy perturbation method (MHPM). The approximation solution of this equation is calculated in the form of series which its components are computed easily. The uniqueness of the solution and the convergence of the proposed methods are proved. The accuracy of these methods are compared by solving an example.

• Bulletin of the Korean Chemical Society
• /
• 제31권12호
• /
• pp.3573-3578
• /
• 2010

Recently it is suggested that it may be possible to obtain the approximate or exact bound state solutions of nonrelativistic Schr$\ddot{o}$dinger equation from relativistic Klein-Gordon equation, which seems to be counter-intuitive. But the suggestion is further elaborated to propose a more detailed method for obtaining nonrelativistic solutions from relativistic solutions. We demonstrate the feasibility of the proposed method with the Morse potential as an example. This work shows that exact relativistic solutions can be a good starting point for obtaining nonrelativistic solutions even though a rigorous algebraic method is not found yet.

• 호남수학학술지
• /
• 제40권4호
• /
• pp.771-783
• /
• 2018

This paper, we investigate a strongly damped nonlinear Klein-Gordon equation with nonlinearities of variable exponent type $$u_{tt}-{\Delta}u-{\Delta}u_t+m^2u+{\mid}u_t{\mid}^{p(x)-2}u_t={\mid}u{\mid}^{q(x)-2}u$$ associated with initial and Dirichlet boundary conditions in a bounded domain. We obtain a nonexistence of solutions if variable exponents p (.), q (.) and initial data satisfy some conditions.

• 대한수학회보
• /
• 제60권6호
• /
• pp.1697-1704
• /
• 2023

We study a multidimensional nonlinear variational sine-Gordon equation, which can be used to describe long waves on a dipole chain in the continuum limit. By using the method of characteristics, we show that a solution of a nonlinear variational sine-Gordon equation with certain initial data in a multidimensional space has a singularity in finite time.

• Journal of Chest Surgery
• /
• 제52권4호
• /
• pp.205-220
• /
• 2019

Near-infrared (NIR) fluorescence imaging provides a safe and cost-efficient method for immediate data acquisition and visualization of tissues, with technical advantages including minimal autofluorescence, reduced photon absorption, and low scattering in tissue. In this review, we introduce recent advances in NIR fluorescence imaging systems for thoracic surgery that improve the identification of vital tissues and facilitate the resection of tumorous tissues. When coupled with appropriate NIR fluorophores, NIR fluorescence imaging may transform current intraoperative thoracic surgery methods by enhancing the precision of surgical procedures and augmenting postoperative outcomes through improvements in diagnostic accuracy and reductions in the remission rate.

• Advances in Traditional Medicine
• /
• 제3권3호
• /
• pp.157-162
• /
• 2003

Various extracts of higher plants have been used in traditional medicine systems for centuries. While tropical and sub-tropical plants have received considerable attention from the researchers for evaluation of their bioactivity, temeperate plants have always been neglected somewhat. Similarly, seeds of the plants have not been considered seriously compared to other plant parts, e.g. leaves, stems, roots, flowers, etc. as a potential source for biologically active compounds. As part of our on-going evaluation of the extracts of the seeds of temperate plants, especially from Scotland, for biological activity, Achillea millefolium, Angelica sylvestris and Phleum pratense have been chosen for the present study. Both A. millefolium and A. sylvestris are well known for their traditional medicinal uses in Europe and also in the orient, but there is no report on any medicinal properties of P. pratense available to date. Extracts of the seeds of these plants have been assessed for their antioxidant and antibacterial potential and also for general toxicity. Both DCM and MeOH extracts of A. millefolium showed the most significant broad spectrum antibacterial activity among the three plants and inhibited the growth of almost all test strains of bacteria. The DCM extracts of all three species were active against methicillin resistant Staphylococcus aureus (MRSA) and Citrobacter freundii $(MIC=6.25{\times}10^{-1}\;mg/mL)$. While the MeOH extracts of A. millefolium and P. pratense were active against C. freundii, that of P. pratense was also active against MRSA. The MeOH extract of A. sylvestris did not show any antibacterial activity against any of the eight bacterial strains at test concentrations. The MeOH extract of P. pratense showed the most prominent antioxidant activity $(IC_{50}=145\;{\mu}g/ml)$ and there was no antioxidant activity observed with the DCM extract of A. millefolium. The DCM extract of P. pratense was the most toxic $(LC_{50}=20\;{\mu}g/ml)$ among the extracts.

• 한국가정과교육학회지
• /
• 제12권3호
• /
• pp.1-17
• /
• 2000

The purpose of this research was to apply and conduct a class with Gordon’s Creative Problem Solving Method(Synectics) to the area of ’human development and family relations’among male students in a jr. high school. Subject matters which were appropriate for applying Gordon’s Creative Problem Solving method were selected from ’human development and family relations’area, with problem circumstances set to reflect to the highest degree the interests of individuals and families. An 8 hour teaching instructional guide was constructed with $\boxdr$strategy 1$\boxul$of Gordon’s Creative Problem Solving method in order to solve creatively the established problem. This was practically implied to 70 students(each class had 34 and 36 students respectively) in K middle school located in Seoul. The period of this application was for 3 months during March through May of 1999. The perception of this method was examined by the teachers and students through open-ended questions. The record of perception showed that 56 students out of 70(with no response from 5 students) through that the class done by the creativity problem solving method was good. The majority of reasons mentioned for the positive answers were ’being able to receive different thoughts which were unusual of daily life’. In addition the students who participated in the class were able to foster a joint experience which improved their understanding of relationships and sens of community. moreover students who did not do well n the class or were diffident were encouraged to participate which in result showed that there was even an internal effect.

• 한국콘텐츠학회논문지
• /
• 제18권12호
• /
• pp.372-382
• /
• 2018

본 연구는 고든의 음악 학습 이론을 스즈키 바이올린 교육에 통합하여 어린이들을 위한 바이올린 교수 학습모델을 만드는 것에 그 목적을 두고 있다. 스즈키 교육에 음악 학습 이론의 원리를 적용하는 주된 목적을 학생들의 오디에이션 개발에 두고 있으며, 스즈키 바이올린 교육과 고든의 음악 학습 이론 원리와의 관련성을 토대로, 스즈키 철학과 커리큘럼의 틀 안에서 오디에이션을 어떻게 가르칠 수 있는지 수업예시로 보여 줄 수 있도록 하였다. 이번 연구는 음악 학습 이론을 적용 할 수 있는 방법들 중 한 가지 가능성만을 제시하고 있으며, 스즈키 바이올린 교육에 음악 학습 이론을 체계적으로 적용하기 위해서는 제시된 수업 계획의 효과와 강점에 대한 추가 연구가 필요하며 스즈키 레퍼토리에서 사용 된 조성 및 리듬 패턴에 대한 보다 완벽한 안내서가 필요하다. 악기를 연주하는 학생들의 오디에이션 능력이 함양된다면, 기계적인 움직임이 아닌, 그들이 듣고, 연주하고, 작곡하는 음악에 대한 이해를 더 깊이 할 수 있을 것으로 기대된다.