• Title/Summary/Keyword: Gordon model

Search Result 32, Processing Time 0.027 seconds

ON SEMILOCAL KLEIN-GORDON-MAXWELL EQUATIONS

  • Han, Jongmin;Sohn, Juhee;Yoo, Yeong Seok
    • Journal of the Korean Mathematical Society
    • /
    • v.58 no.5
    • /
    • pp.1131-1145
    • /
    • 2021
  • In this article, we study the Klein-Gordon-Maxwell equations arising from a semilocal gauge field model. This model describes the interaction of two complex scalar fields and one gauge field, and generalizes the classical Klein-Gordon equation coupled with the Maxwell electrodynamics. We prove that there exist infinitely many standing wave solutions for p ∈ (2, 6) which are radially symmetric. Here, p comes from the exponent of the potential of scalar fields. We also prove the nonexistence of nontrivial solutions for the critical case p = 6.

Molecular Spinless Energies of the Morse Potential Energy Model

  • Jia, Chun-Sheng;Cao, Si-Yi
    • Bulletin of the Korean Chemical Society
    • /
    • v.34 no.11
    • /
    • pp.3425-3428
    • /
    • 2013
  • We solve the Klein-Gordon equation with the Morse empirical potential energy model. The bound state energy equation has been obtained in terms of the supersymmetric shape invariance approach. The relativistic vibrational transition frequencies for the $X^1{\sum}^+$ state of ScI molecule have been computed by using the Morse potential model. The calculated relativistic vibrational transition frequencies are in good agreement with the experimental RKR values.

Information Security Investment Model and Level in Incomplete Information (불완전 정보 하의 정보보호 투자 모델 및 투자 수준)

  • Lee, Yong-pil
    • Journal of the Korea Institute of Information Security & Cryptology
    • /
    • v.27 no.4
    • /
    • pp.855-861
    • /
    • 2017
  • Gordon & Loeb[1] suggested that the optimal level of investment decision of an enterprise is the point that the marginal benefit(MB) of information security investment is equal to the marginal cost(MC). However, many companies suffering from information security incidents are not aware of the fact that they are experiencing information security accidents and can not measure how much they are affected. In this paper, I propose a model of information security investment decision making under the incomplete information situation by modifying the Gordon & Loeb[1] model and compare the differences in investment level. Under the incomplete information situation the expected return from the information security investment tends to be lower than that of actual information security investment, and the level of investment is also less. This shows that if a third party such as the government gives accurate information such as the rate of incidents of information security accidents and the amount of damages, companies can expand their investment in information security.

OPTIMAL ERROR ESTIMATE OF A DECOUPLED CONSERVATIVE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE KLEIN-GORDON-SCHRÖDINGER EQUATIONS

  • YANG, HE
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.24 no.1
    • /
    • pp.39-78
    • /
    • 2020
  • In this paper, we propose a decoupled local discontinuous Galerkin method for solving the Klein-Gordon-Schrödinger (KGS) equations. The KGS equations is a model of the Yukawa interaction of complex scalar nucleons and real scalar mesons. The advantage of our scheme is that the computation of the nucleon and meson field is fully decoupled, so that it is especially suitable for parallel computing. We present the conservation property of our fully discrete scheme, including the energy and Hamiltonian conservation, and establish the optimal error estimate.

Molecular Spinless Energies of the Modified Rosen-Morse Potential Energy Model

  • Jia, Chun-Sheng;Peng, Xiao-Long;He, Su
    • Bulletin of the Korean Chemical Society
    • /
    • v.35 no.9
    • /
    • pp.2699-2703
    • /
    • 2014
  • We solve the Klein-Gordon equation with the modified Rosen-Morse potential energy model. The bound state energy equation has been obtained by using the supersymmetric shape invariance approach. The relativistic vibrational transition frequencies for the $6^1{\Pi}_u$ state of the $^7Li_2$ molecule have been computed by using the modified Rosen-Morse potential model. The calculated relativistic vibrational transition frequencies are in good agreement with the experimental RKR values.

Suzuki Methods for the Beginners, Applying Gordon's Music Learning Theory (Edwin E. Gordon의 음악학습 이론을 적용한 스즈키 지도법)

  • Lee, Ka-won
    • The Journal of the Korea Contents Association
    • /
    • v.18 no.12
    • /
    • pp.372-382
    • /
    • 2018
  • Understanding is the foundation of music appreciation, the ultimate goal of music learning. The purpose of this research was to create a model for the integration and implementation of Gordon's music learning theory principles into Suzuki violin instruction. This research shows how audiation can be taught within the framework of the Suzuki philosophy and curriculum. It is expected that Gordon's music learning theory can provide Suzuki teachers with unique capabilities for teaching musical understanding, specifically through the development of audiation. Through an audiation-based approach to Suzuki instruction, thus, young violinists will be able to learn to comprehend the tonal and rhythmic aspects of the music they perform. Future researchers may wish to assemble a more complete guide to the tonal and rhythm patterns used in the Suzuki repertoire. Furthermore, additional lesson plans and activities can and should be developed that represent the application of music learning theory to Suzuki violin instruction.

Analysis of Loss Expectancy on Personal Information leakage using Quantitative Invest Decision Model (투자결정 모델을 활용한 개인정보유출의 기대손실 분석)

  • Kim, Jeong Yeon
    • The Journal of Society for e-Business Studies
    • /
    • v.20 no.2
    • /
    • pp.93-106
    • /
    • 2015
  • Providing trading partners with personal information to establish an e-commerce financial transaction is inevitable. Most e-commerce companies keep personal information and transaction data for user's convenience and develop additional services as their applications. However, keeping personal information increases the likelihood of identity theft causing direct or indirect damage while it may simplify repetitive financial transactions. This study introduces risk management methods based on quantitative and qualitative analysis including demand-supply curve model and Gordon & Loeb model to analyze the risks for security management. The empirical analysis with survey results from KISA (Korea Information Security Agency) shows that the root cause of different statistics of personal information leakage incidents according to core business of internet companies is the difference in their Loss Expectancy caused by them. Also we suggest disciplinary compensation and higher standard for personal information protection as a solution to prevent the variation of investment on it between individual companies.

The Spillover from Asset Determinants to Ship Price (자산가격결정요인의 선박가격에 대한 파급효과 분석)

  • Choi, Youngjae;Kim, Hyunsok
    • Journal of Korea Port Economic Association
    • /
    • v.32 no.2
    • /
    • pp.59-71
    • /
    • 2016
  • This study empirically examines the dynamic specification of the ship price model based on a vector autoregressive model and data covering from January 2000 to October 2014. Our results are summarized as follows: first, the relationship between ship price and interest rate shows significantly negative and the relationship between ship price and freight rate shows positive. It provides consistent implication that ship price depends on interest rate and freight rate under the dynamic Gordon model. Second, we apply an impulse response analysis to ship price and find the responses of the ship price from both factors, interest rate and freight rate, which affect during seven periods approximately. Finally, the results of a variance decomposition indicate that freight rate is more important than interest rate on the ship price.

Gordon 모형을 이용한 DNA칩 기술수준의 국제비교 분석

  • 박수동;홍순기;김승동;정근하;한성구
    • Journal of Technology Innovation
    • /
    • v.9 no.1
    • /
    • pp.21-35
    • /
    • 2001
  • The main purpose of this study is to measure and compare the state of the art (SOA) of DNA chips of Korea, Japan and the United States using Gordon's scoring model. From the comparison, Korea's SOAs of DNA chip were estimated to be 70% and 62% of those of the United States in terms of functional and technical parameters, whereas Japan's SOAs were 79% and 77%, respectively. The results of this study could be applied to the strategic technology planning for narrowing the technology gap, and used as one of the key criteria for resource allocation in national R&D programs and the fundamental information to formulate the biotechnology policy for the Korean government.

  • PDF