55 research outputs found

    Some inner product techniques for computing eigenvalues for three-dimensional anharmonic oscillators with quartic and sextic perturbations

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    AbstractAn algorithm previously used by the author for calculating the energy eigenvalues for a three-dimensional oscillator with limited range of perturbation parameters, eigenstates and accuracy is revisited and implemented in a more effective way to give excellent accuracy even for higher values of λ and ψnx, ny, nz(x,y,z). Fifty coefficients of renormalized perturbation series are calculated, in contrast to the previous works which were limited to 20 coefficients of the perturbation series due to computational facilities. Some of the results calculated by the inner product technique are compared with results produced by other techniques

    Quantum theory of a double-well potential: Energy levels for symmetric and nonsymmetric double-well potentials in a three-dimensional system

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    AbstractEnergy eigenvalues are obtained for a double-well potential V(x, y, z; Zx2, Zy2, Zz2, λ) = −12[Zx2x2 + Zy2y2 + Zz2z2] + λ[axxx4 + ayyy4 + azzz4 + 2axyx2y2 + 2axzx2z2 + 2ayzy2z2], in a three-dimensional system, using matrix diagonalization, for various values of parameters Zx2, Zy2, Zz2, λ and several energy levels Enx,ny,nz. Comparison is made with results obtained by other means

    Energy levels for a double-well potential in three-dimensional system using Hill determinant approach

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    AbstractEnergy levels of the Schrödinger equation for the double-well potential V(x, y, z; λ, Z2) = − 12 Z2[x2 + y2 + z2] + 12 λ[axxx4 + ayyy4 + azzz4 + 2axyx2y2 + 2axzx2z2 + 2ayzy2z2] in a three-dimensional system are calculated using the Hill determinant approach for several eigenstates and large values of the perturbation parameters (λ and Z2). Emphasis is specially placed on the larger values of Z2, because the eigenvalues for different states have almost degenerate eigenvalues. Some of the results calculated by the Hill determinant approach are compared with the results produced by other techniques

    Calculations for double-well potentials of perturbed oscillator type in three-dimensional systems using the Hill-determinant approach

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    A determination of the eigenvalues for a three-dimensional system is made by expanding the potential functionV(x,y,z;Z2, λ,β)= ?Z2[x2+y2+z2]+λ {x4+y4+z4+2β[x2y2+x2z2+y2z2]}, around its minimum. In this paper the results of extensive numerical calculations using this expansion and the Hill-determinant approach are reported for a large class of potential functions and for various values of the perturbation parametersZ2, λ, and β. PACS No.:03.6

    Living green: Conference proceedings of the living green scientific conference

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    Presentaties van Livinggreen Scientific Conference: Stimulating energy efficiency in households - Comparison of the Livinggreen.eu methods to theory – Daphne Geelen Engaging households in sustainable renovation – Exploration of a complementary approach - Meijer, S.A., Geelen, D.V., Franken, V., Kersten, W.C., Crul. M.R.M From community resilience towards urban resilience: exploring the grassroot initiatives’ role in cities - Meijer, S.A., van Timmeren, A., Crul, M.R.M., Brezet, H.C. Sense of history: capturing and utilizing immaterial values for sustainable heritage protection - Franken, V., Meijer, S.A.Design EngineeringIndustrial Design Engineerin

    Sustainability in a Pressure Cooker: Platforms for Multi-Cultural Exploration in Vietnam

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    Design EngineeringIndustrial Design Engineerin

    Ecodesign in Central America

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    This PhD thesis describes and analyses the change process started by the Ecodesign project in Central America, executed between 1998 and 2002. The project started using the concept and praxis developed in Europe. Nine ecodesign projects were performed in industry, and ecodesign was introduced to counterpart organisations. With these first experiences, the concept was adapted into a regional approach for Central America. The focus in this next phase was on local leadership, learning by young professionals and national network building in Costa Rica, Guatemala and El Salvador. The focus in the next industrial projects shifted towards service, sector and chain approaches. The PhD study is organised as multiple case study research, centering around the following research questions: How successful is the adoption of ecodesign in the participating companies, and what are the key factors influencing this? Is facilitation of ecodesign successful and is it locally owned? Is there sustained capacity in Central America to continue and expand ecodesign activities? On the basis of an operationalisation of 30 key research factors, the case studies are analysed in detail, and the research questions are answered. With the lessons learned, suggestions for strategic continuation are given.Design, Engineering and Productio
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