The Experts below are selected from a list of 291 Experts worldwide ranked by ideXlab platform
Satoshi Watamura - One of the best experts on this subject based on the ideXlab platform.
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the quantum group as a symmetry the schrodinger equation of the n dimensional q deformed harmonic oscillator
Progress of Theoretical Physics Supplement, 1995Co-Authors: Ursula Carowwatamura, Satoshi WatamuraAbstract:With the aim to construct a dynamical model with quantum group symmetry, the q-deformed Schrodinger equation of the harmonic oscillator on the N-dimensional quantum Euclidian Space is investigated. After reviewing the differential calculus on the q-Euclidian Space, the q-analog of the creation-annihilation operator is constructed. It is shown that it produces systematically all eigenfunctions of the Schrodinger equation and eigenvalues. We also present an alternative way to solve the Schrodinger equation which is based on the q-analysis. We represent the Schrodinger equation by the q-difference equation and solve it by using q-polynomials and q-exponential functions. The problem of the involution corre sponding to the reality condition is discussed.
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the quantum group as a symmetry the schr odinger equation of the n dimensional q deformed harmonic oscillator
arXiv: High Energy Physics - Theory, 1994Co-Authors: Ursula Carowwatamura, Satoshi WatamuraAbstract:With the aim to construct a dynamical model with quantum group symmetry, the $q$-deformed Schr\"odinger equation of the harmonic oscillator on the $N$-dimensional quantum Euclidian Space is investigated. After reviewing the differential calculus on the $q$-Euclidian Space, the $q$-analog of the creation-annihilation operator is constructed. It is shown that it produces systematically all eigenfunctions of the Schr\"odinger equation and eigenvalues. We also present an alternative way to solve the Schr\"odinger equation which is based on the $q$-analysis. We represent the Schr\"odinger equation by the $q$-difference equation and solve it by using $q$-polynomials and $q$-exponential functions. The problem of the involution corresponding to the reality condition is discussed.
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the q deformed schr odinger equation of the harmonic oscillator on the quantum Euclidian Space
arXiv: High Energy Physics - Theory, 1993Co-Authors: Ursula Carowwatamura, Satoshi WatamuraAbstract:We consider the $q$-deformed Schrodinger equation of the harmonic oscillator on the $N$-dimensional quantum Euclidian Space. The creation and annihilation operator are found, which systematically produce all energy levels and eigenfunctions of the Schrodinger equation. In order to get the $q$-series representation of the eigenfunction, we also give an alternative way to solve the Schrodinger equation which is based on the $q$-analysis. We represent the Schrodinger equation by the $q$-difference equation and solve it by using $q$-polynomials and $q$-exponential functions.
Ursula Carowwatamura - One of the best experts on this subject based on the ideXlab platform.
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the quantum group as a symmetry the schrodinger equation of the n dimensional q deformed harmonic oscillator
Progress of Theoretical Physics Supplement, 1995Co-Authors: Ursula Carowwatamura, Satoshi WatamuraAbstract:With the aim to construct a dynamical model with quantum group symmetry, the q-deformed Schrodinger equation of the harmonic oscillator on the N-dimensional quantum Euclidian Space is investigated. After reviewing the differential calculus on the q-Euclidian Space, the q-analog of the creation-annihilation operator is constructed. It is shown that it produces systematically all eigenfunctions of the Schrodinger equation and eigenvalues. We also present an alternative way to solve the Schrodinger equation which is based on the q-analysis. We represent the Schrodinger equation by the q-difference equation and solve it by using q-polynomials and q-exponential functions. The problem of the involution corre sponding to the reality condition is discussed.
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the quantum group as a symmetry the schr odinger equation of the n dimensional q deformed harmonic oscillator
arXiv: High Energy Physics - Theory, 1994Co-Authors: Ursula Carowwatamura, Satoshi WatamuraAbstract:With the aim to construct a dynamical model with quantum group symmetry, the $q$-deformed Schr\"odinger equation of the harmonic oscillator on the $N$-dimensional quantum Euclidian Space is investigated. After reviewing the differential calculus on the $q$-Euclidian Space, the $q$-analog of the creation-annihilation operator is constructed. It is shown that it produces systematically all eigenfunctions of the Schr\"odinger equation and eigenvalues. We also present an alternative way to solve the Schr\"odinger equation which is based on the $q$-analysis. We represent the Schr\"odinger equation by the $q$-difference equation and solve it by using $q$-polynomials and $q$-exponential functions. The problem of the involution corresponding to the reality condition is discussed.
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the q deformed schr odinger equation of the harmonic oscillator on the quantum Euclidian Space
arXiv: High Energy Physics - Theory, 1993Co-Authors: Ursula Carowwatamura, Satoshi WatamuraAbstract:We consider the $q$-deformed Schrodinger equation of the harmonic oscillator on the $N$-dimensional quantum Euclidian Space. The creation and annihilation operator are found, which systematically produce all energy levels and eigenfunctions of the Schrodinger equation. In order to get the $q$-series representation of the eigenfunction, we also give an alternative way to solve the Schrodinger equation which is based on the $q$-analysis. We represent the Schrodinger equation by the $q$-difference equation and solve it by using $q$-polynomials and $q$-exponential functions.
Pandjassarame Kangueane - One of the best experts on this subject based on the ideXlab platform.
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Identification of critical heterodimer protein interface parameters by multi-dimensional scaling in Euclidian Space.
Frontiers in Bioscience, 2005Co-Authors: Cui Zhanhua, Venkatarajan Subramanian Mathura, Meena Kishore Sakharkar, Pandjassarame KangueaneAbstract:: Protein subunit dimers are either homodimers (consisting of identical polypeptides) or heterodimers (consisting of different polypeptides). Protein dimers are involved in several cellular processes and an understanding of their molecular principle in complexations (subunit-subunit interaction) is essential. This is generally studied using 3D structures of homodimers and heterodimers determined by X-ray crystallography. However, the current knowledge on subunit interaction is limited due to lack of sufficient 3D dimer structures. It is our interest to study heterodimers using 3D structures to identify interaction parameters that would help in the development of a model to predict heterodimer interaction sites just from protein sequences. The efficiency of such models depends on the weighted contribution of numerous parameters characterizing heterodimer interfaces. Therefore, we studied the salient features of 111 interface parameters in 65 heterodimer structures. In this study, we applied multi-dimensional scaling for dimensionality reduction on these parameters to select the most critical ones that best characterize heterodimer interfaces. The significance of these parameters in subunit interaction is discussed.
Annesophie De Suzzoni - One of the best experts on this subject based on the ideXlab platform.
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consequences of the choice of a particular basis of l 2 s 3 for the cubic wave equation on the sphere and the Euclidian Space
arXiv: Analysis of PDEs, 2012Co-Authors: Annesophie De SuzzoniAbstract:In this paper, the almost sure global well-posedness of the cubic non linear wave equation on the sphere is studied when the initial datum is a random variable with values in low regularity Spaces. The domain is first the 3D sphere, thanks to the existence of a uniformly bounded in $L^p$ basis of $L^2(S^3)$ and then the result is extended to $\R^3$ thanks to the Penrose transform.
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large data low regularity scattering results for the 3d wave equation on the Euclidian Space
arXiv: Analysis of PDEs, 2010Co-Authors: Annesophie De SuzzoniAbstract:We will consider the resolution of the 3D non linear wave equation under the assumption of spherical symmetry on the Euclidian Space. For this purpose, we will build a non trivial measure on distributions such that there exists a set of full measurement onto which the flow is globally defined. We will then discuss different properties of the solutions.
şenol Dost - One of the best experts on this subject based on the ideXlab platform.
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the analysis of the understanding of the three dimensional Euclidian Space and the two variable function concept by university students
The Journal of Mathematical Behavior, 2020Co-Authors: Ozgun şefik, şenol DostAbstract:Abstract Conceptual understanding is being emphasized in mathematics education. Students often have difficulty understanding the multi-variable function, a key concept. Based on the APOS theory, which analyzes the cognitive structures formed by individuals in learning a mathematical concept and produces components related to that learning, this study analyzes the conceptual understanding of three-dimensional Spaces and two-variable functions by university students. The genetic decomposition of these concepts proposed by Trigueros and Martinez-Planell is also considered. The analyzes results revealed that only one student constructed the concept of three-dimensional Space as an object within the framework of genetic decomposition. Some students could not relate the concepts of two-variable function and three-dimensional Space. Students who could perform algebraic operations had problems related to geometric representation. This study suggests the refinement of genetic decomposition to include, e.g., mental construction steps for writing algebraic equations of special surfaces whose graphs are given in R3.