• Title/Summary/Keyword: Hamiltonian

Search Result 267, Processing Time 0.025 seconds

The Spin-Rotation Interaction of the Proton and the Fluorine Nucleus in the Tetrahedral Spherical Top Molecules

  • Lee, Sang-Soo;Ozier, Irving;Ramsey, N.F.
    • Nuclear Engineering and Technology
    • /
    • v.5 no.1
    • /
    • pp.38-43
    • /
    • 1973
  • The spin-rotation constants of the proton and tile fluorine nucleus in C $H_4$, Si $H_4$, Ge $H_4$, C $F_4$, Si $F_4$ and Ge $F_4$ were determined experimentally by the molecular beam magnetic resonance method. From the Hamiltonian and the high field approximation, the quantized energy level is given by the following equation. W $m_{I}$ $m_{J}$=- $g_{I}$ $m_{I}$H- $g_{J}$ $m_{J}$H- $C_{av}$ $m_{I}$ $m_{J}$, where $c_{av}$ is one third of the trace of the C tensor. In the nuclear resonance experiment, the proton and the fluorine nuclear resonance curves consist of many unresolved lines given by v=- $g_{J}$H- $C_{av}$ $m_{I}$, and a Gaussian approximation is made to correlate $c_{av}$ to the experimentally obtained half-width of the resonance curve. In the rotational resonance experiment, the five resonance peaks as predicted by v=- $g_{I}$H- $c_{av}$ $m_{I}$, $m_{I}$=0, $\pm$1 and $\pm$2, were all observed. The magnitude of car was determined by measuring the frequency distance between two adjacent peaks. The sign of $c_{av}$ was determined by the side peak suppression technique. The technique is described, and the sign and magnitude of the spin-rotation constant cav are summarized as following: for C $H_4$ -10.3$\pm$0.4tHz(from the rotational resonance), for SiH +3.71$\pm$0.08kHz(from the nuclear resonance), for Ge $H_4$+3.79$\pm$0.13kHz(from the nuclear resonance), for C $F_4$, -6.81$\pm$0.08kHz(from the rotational resonance), for Si $F_4$, -2.46$\pm$0.06kHz(from the rotational resonance), and finally for Ge $F_4$-1.84$\pm$0.04kHz(from the rotational resonance).onal resonance).esonance).

  • PDF

Ground State Energy of Gd3+ Paramagnetic Ion in PbWO4 : Gd Single Crystal (PbWO4 : Gd 단결정 내의 Gd3+ 상자성 이온에 대한 바닥 상태 에너지)

  • Yeom, Tae Ho
    • Journal of the Korean Magnetics Society
    • /
    • v.26 no.2
    • /
    • pp.45-49
    • /
    • 2016
  • Ground state energy levels of $Gd^{3+}$ ion (effective spin S = 7/2) in $PbWO_4$ single crystal doped with $Gd^{3+}$ paramagnetic impurity at tetragonal symmetry are calculated with spectroscopic splitting parameters and zero field splitting parameters using by effective spin Hamiltonian. It turns out that the zero field splitting energies of $Gd^{3+}$ ion were the same regardless of the directions of $PbWO_4$ : Gd single crystal. The calculated energy differences for ${\mid{\pm}7/2}$ > ${\leftrightarrow}{\mid{\pm}5/2}$ >, ${\mid{\pm}5/2}$ > ${\leftrightarrow}{\mid{\pm}3/2}$ >, and ${\mid{\pm}3/2}$ > ${\leftrightarrow}{\mid{\pm}1/2}$ > transitions were 6.9574 GHz, 6.9219 GHz, and 15.8704 GHz, respectively when the applied magnetic field is zero. The calculated energy level diagrams were different for different directions of applied magnetic field. For B // a- and c-axis, the energy level diagrams are calculated and discussed.

시 최적화 제어기구의 설계방법에 관한 비교연구

  • 이양범
    • 전기의세계
    • /
    • v.29 no.3
    • /
    • pp.170-176
    • /
    • 1980
  • 이 논문은 제어신호가 이상적인 포화특성을 갖은 제작조건하의 시불변, 선형 제어계의 시최적화 제어기구의 설계이론을 비교 연구하는데 목적을 두었다. 어떤 초기상태에 있는 계를 특정된 최종상태로, 최단시간내에 이행시켜 가는데 요구되는 제어기구의 설계문제는 여러해 동안 흥미있는 연구과제로 학계에 등장되었고 이러한 문제를 처리하는데에는 여러가지의 설계방법이 제안되어 왔다. 이 논문에서는 이러한 최적화 제어기구의 설계 이론중, 상태천이법에 의한 방법, 최대원리의 적용에 의한 방법 및 동적 프로그래밍기법에 의한 방법들을 서로 비교하여 2차계의 시최적화 설계사례에 이들을 적용시킴으로써 그 설계법상의 문제점을 비교 검토하여 보려는데 목적을 두었다. 설계사례 2차계는 시불변, 선형인 것으로 가정하였으며, 초기상태벡터 및 최종상태벡터는 모두 특정된 값으로 지정되고 제어신호는 이상적인 포화특성으로 제약받으며 스윗칭 시간이 유한크기가 아닌 정규형인 경우에 한정시켜 다루었다. 어느 설계이론을 적용시키나 시최적화를 위한 제어측은 단속제어방식으로 결과되었으나, 시최적화 문제의 특수성때문에 최대원리 및 동적 프로그래밍기법의 적용사례에서는 자연경계조건 및 Transversality 조건 등이 스윗칭시간 또는 최종시간을 직접 결정하여 주는 관건은 되지 못하였으며 계통의 상태방정식 또는 보조상태방정식을 구속제약된 양단상태량을 만족하도록 최적에어측을 적용하여 풀므로써 스윗칭시간과 최종시간이 얻어진다. 따라서 어느 한가지 방법의 적용만으로는 수학적인 처리상의 애로는 피할길이 없었으며 Hamiltonian함수의 변화성질을 보조적으로 활용하여 가면 이러한 번거로움이 덜하여 지긴하나, 다루는 계통의 차수가 높을 수록 이러한 수치해를 얻기위한 번거로움은 여간한 험로가 아닌 것으로 생각된다. 결론적으로 이러한 시최적화문제의 설계에는 몇가지의 혼용적용이 바람직하다고 결론된다. 이의 개발에 박차를 가하지 않을 수 없는 것이다.고, 우선 여기서는 당면문제로서 대처하지 않으면 안될 자동주파수제어문제및 계통의 경제운용문제만에 한정하여, 이것을 우리나라의 현상과 관련시켜 개설하고, 이들의 자동화에 관한 기본적인 문제를 간단히 적어 보겠다. 가능하다. 제작완료된 ASIC은 기능시험을 완료했으며 실제 line-of-sight(LOS) 시스템 구현에 적용중이다. 시대를 살아 갈 회원들이다. '컨텐츠의 시대'가 개막되는 것이며, 신세기통신과 SK텔레콤은 선의의 경쟁 과 협력을 통해 이동인터넷 서비스의 컨텐츠를 개발해 나가게 될 것이다. 3배가 높았다. 효소 활성에 필수적인 물의 양에 따른 DIAION WA30의 라세미화 효율에 관하여 실험한 결과, 물의 양이 증가할수록 그 효율은 감소하였다. DIAION WA30을 라세미화 촉매로 사용하여 아이소옥탄 내에서 라세믹 나프록센 2,2,2-트리플로로에틸 씨오에스터의 효소적 DKR 반응을 수행해 보았다. 그 결과 DIAION WA30을 사용하지 않은 경우에 비해 반응 전환율과 생성물의 광학 순도는 급격히 향상되었다. 전통적 광학분할 반응의 최대 50%라는 전환율의 제한이 본 연구에서 찾은 DIAION WA30을 첨가함으로써 성공적으로 극복되었다. 또한 고체 염기촉매인 DIAION WA30의 사용은 라세미화 촉매의 회수 및 재사용이 가능하게 해준다.해준다.다. TN5 세포주를 0.2 L 규모 (1 L spinner flask)oJl에서 세포간의 응집현상 없이 부유배양에 적응,배양시킨 후 세포성장 시기에 따른 발현을 조사한 결과 1 MOI의 감염조건 하에서는 $0.6\times10^6$cell/mL의 early exponential시기의 세포밀도에서 72시간 배양하였을 대 최대 발현양을 나타내었다. 나타내었다. $\beta$4 integrin의

  • PDF

Travelling Salesman Problem Based on Area Division and Connection Method (외판원 문제의 지역 분할-연결 기법)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.15 no.3
    • /
    • pp.211-218
    • /
    • 2015
  • This paper introduces a 'divide-and-conquer' algorithm to the travelling salesman problem (TSP). Top 10n are selected beforehand from a pool of n(n-1) data which are sorted in the ascending order of each vertex's distance. The proposed algorithm then firstly selects partial paths that are interconnected with the shortest distance $r_1=d\{v_i,v_j\}$ of each vertex $v_i$ and assigns them as individual regions. For $r_2$, it connects all inter-vertex edges within the region and inter-region edges are connected in accordance with the connection rule. Finally for $r_3$, it connects only inter-region edges until one whole Hamiltonian cycle is constructed. When tested on TSP-1(n=26) and TSP-2(n=42) of real cities and on a randomly constructed TSP-3(n=50) of the Euclidean plane, the algorithm has obtained optimal solutions for the first two and an improved one from that of Valenzuela and Jones for the third. In contrast to the brute-force search algorithm which runs in n!, the proposed algorithm runs at most 10n times, with the time complexity of $O(n^2)$.

CCTV-Aided Accident Detection System on Four Lane Highway with Calogero-Moser System (칼로게로 모제 시스템을 활용한 4차선 도로의 사고검지 폐쇄회로 카메라 시스템)

  • Lee, In Jeong
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.39C no.3
    • /
    • pp.255-263
    • /
    • 2014
  • Today, a number of CCTV on the highway is to observe the flow of traffics. There have been a number of studies where traffic data (e.g., the speed of vehicles and the amount of traffic on the road) are transferred back to the centralized server so that an appropriate action can be taken. This paper introduces a system that detects the changes of traffic flows caused by an accident or unexpected stopping (i.e., vehicle remains idle) by monitoring each lane separately. The traffic flows of each lane are level spacing curve that shows Wigner distribution for location vector. Applying calogero-moser system and Hamiltonian system, probability equation for each level-spacing curve is derived. The high level of modification of the signal means that the lane is in accident situation. This is different from previous studies in that it does more than looking for the signal from only one lane, now it is able to detect an accident in entire flow of traffic. In process of monitoring traffic flow of each lane, when camera recognizes a shadow of vehicle as a vehicle, it will affect the accident detecting capability. To prevent this from happening, the study introduces how to get rid of such shadow. The system using Basian network method is being compared for capability evaluation of the system of the study. As a result, the system of the study appeared to be better in performance in detecting the modification of traffic flow caused by idle vehicle.

Electron Paramagnetic Resonance Study of impurity Fe3+ ion in LiTaO3 single crystal (Fe3+ 불순물이 첨가된 LiTaO3 단결정에서의 전자 상자성 공명 연구)

  • Min, S.G.;Yeon, T.H.;Lee, S.H.;Lee, M.K.;Shin, H.K.;Yu, Y.M.;Kim, T.H.;Yu, S.C.
    • Journal of the Korean Magnetics Society
    • /
    • v.13 no.4
    • /
    • pp.171-175
    • /
    • 2003
  • Electron paramagnetic resonance (EPR) of Fe$^{3+}$ in LiTaO$_3$ single crystal, grown by Czochralski method, has been studied by employing an X-band spectrometer. Resonance spectra of Fe$^{3+}$ ion on the crystallographic principal axes were obtained with 9.447 ㎓ at room temperature. The spectroscopic splitting parameter g and zero-field splitting (ZFS) parameter D (= 3 B$_{2}$sup 0/) are calculated with effective spin Hamiltonian. Fe$^{3+}$ center in stoichometric single crystal turns out to be different with that in congruent single crystal reported previously. From the analysis of temperature dependence of resonance fields for Fe$^{3+}$ ion, there is no any phase transition at the temperature range (from -160 $^{\circ}C$ to 20 $^{\circ}C$).

Effects of the strain on the threshold current density in InGaAs/InGaAsP multiple quantum well lasers (InGaAs/InGaAsP 다중양자우물 레이저에서 변형이 문턱전류밀도에 미치는 효과)

  • 김동철;유건호;주흥로;김형문;김태환
    • Korean Journal of Optics and Photonics
    • /
    • v.9 no.2
    • /
    • pp.111-116
    • /
    • 1998
  • Thirteen InGaAs/InGaAsP separate-confinement heterostructure multiple quantum well lasers were designed such that the strain in the active layer from 0.9% compressive strain to 1.4% tensile, and their threshold current density was caluculated to see the effects of strain on the threshold current density. The well width was adjusted such that the bandgap of the quantum well is 1.55 ${\mu}{\textrm}{m}$, For the calculation of the band structure and transition matrix element needed for the gain calculation, a block diagonalized 8$\times$8 second-order $\to{k}.\to{p}$ Hamiltonian was used to incorporate the conduction band nonparabolicity and the valence band mixing. The threshold current density shows discontinuity at 0.4% tensile strain where the first heavy-hole subband and the first light-hole subband cross and at 0.5% tensile strain where the second conduction subband begins to exist. The threshold current density at room temperature has a maximum around these 0.4-0.5% tensile strains, and as strain varies in either direction it decreases first and then increases a little after a local minimum. This calculated trend is consistent with the other reported experimental results. We discussed the results of this calculation in comparison with other theoretical or experimental papers on the effect of strain.

  • PDF