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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 15 (1994), S. 963-980 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Principal component analysis applied to a set of dipeptides illustrates how changes in families of parameters act in concert to produce overall molecular structural changes. Principal component analysis is an eigenvalue-eigenvector analysis whereby the parametric sensitivity coefficient matrix is manipulated to produce weighted principal components, which reveal the variant and invariant directions in the parameter space. This analysis summarizes the sensitivity results by revealing interdependence among the parameter values with regard to their role in controlling the molecular structure. An analysis of the principal components reveals hidden relationships among the parameters. Thus, those parameters, which were thought to be of controlling significance with respect to the molecular structure, may, in fact, not be (or vice versa) due to cooperative parametric interactions; as a result, the parameters of significance in a sequence of dipeptides are identified. In general, for the dipeptides studied, there is mutual exclusion of dominant parameters between the sets of invariant and variant eigenvectors. © 1994 by John Wiley & Sons, Inc.
    Additional Material: 1 Ill.
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 15 (1994), S. 947-962 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: This article studies the backbone influence on the side chains of N-methyl N′-acetyl amides (dipeptides) of alanine, valine, phenylalanine, leucine, isoleucine, glutamine, and lysine. Several local minima corresponding to protein φ, ψ, and χ values for each dipeptide are determined through optimization in the MM2 force field. These local minima are located in various regions on the Ramachandran map related to particular protein secondary structures. The dipeptide backbone influence on the side chain is explored via the sensitivity of the side chain torsion angles χ with respect to the backbone φ and ψ angles. Sensitivity coefficients are calculated, describing the χ response to an externally imposed change in φ or ψ. The χ response, which depends on the backbone conformation in a particular region, is induced primarily by the van der Waals and dipole interactions between the backbone and the side chain, which change with a deviation in φ or ψ. Various sensitivity trends are observed in the particular Ramachandran regions, revealing the subtle relationships between the dipeptide backbone and the side chain. © 1994 by John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 16 (1995), S. 130-130 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 15 (1994), S. 80-89 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In this article, we develop a method to graphically display the flow of energy within molecules. An energy continuity equation is derived leading to a molecular energy flux vector field. Computation of the flux calls for the intramolecular potential, any external interactions, and the phase space trajectories of the molecular motion. The flux provides a means to display energy flow in still frames and as a tool to visualize hitherto undiscovered dynamic pathways in molecules. Examples are presented that show energy flow in three molecular systems and illustrate the point that depiction of energy flux patterns has increasing utility and meaning as one moves to larger molecules. Simple extensions to this work would also allow visualization of the flux of such quantities as linear and angular momentum. © 1994 by John Wiley & Sons, Inc.
    Additional Material: 5 Ill.
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  • 5
    Publication Date: 2011-07-13
    Description: Author(s): Katharine W. Moore and Herschel Rabitz Quantum optimal control experiments and simulations have successfully manipulated the dynamics of systems ranging from atoms to biomolecules. Surprisingly, these collective works indicate that the effort (i.e., the number of algorithmic iterations) required to find an optimal control field appears t... [Phys. Rev. A 84, 012109] Published Tue Jul 12, 2011
    Keywords: Fundamental concepts
    Print ISSN: 1050-2947
    Electronic ISSN: 1094-1622
    Topics: Physics
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  • 6
    Publication Date: 2015-10-29
    Description: Author(s): Renan Cabrera, Denys I. Bondar, Kurt Jacobs, and Herschel A. Rabitz The Wigner function is a useful tool for exploring the transition between quantum and classical dynamics, as well as the behavior of quantum chaotic systems. Evolving the Wigner function for open systems has proved challenging, however; a variety of methods have been devised but suffer from being cu… [Phys. Rev. A 92, 042122] Published Wed Oct 28, 2015
    Keywords: Fundamental concepts
    Print ISSN: 1050-2947
    Electronic ISSN: 1094-1622
    Topics: Physics
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  • 7
    Publication Date: 2011-07-12
    Description: Author(s): A. Shabani, M. Mohseni, S. Lloyd, R. L. Kosut, and H. Rabitz We develop an efficient and robust approach for quantum measurement of nearly sparse many-body quantum Hamiltonians based on the method of compressive sensing. This work demonstrates that with only O ( s ln( d )) experimental configurations, consisting of random local preparations and measurements, one c... [Phys. Rev. A 84, 012107] Published Mon Jul 11, 2011
    Keywords: Fundamental concepts
    Print ISSN: 1050-2947
    Electronic ISSN: 1094-1622
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  • 8
    Publication Date: 2014-09-25
    Description: Author(s): Andre G. Campos, Renan Cabrera, Denys I. Bondar, and Herschel A. Rabitz In nonrelativistic quantum mechanics, Hudson's theorem states that a Gaussian wave function is the only pure state corresponding to a positive Wigner function (WF). We explicitly construct non-Gaussian Dirac spinors with positive relativistic WFs. These pure relativistic states are coherent superpos... [Phys. Rev. A 90, 034102] Published Wed Sep 24, 2014
    Keywords: Fundamental concepts
    Print ISSN: 1050-2947
    Electronic ISSN: 1094-1622
    Topics: Physics
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  • 9
    Publication Date: 2018-04-25
    Description: Author(s): Re-Bing Wu, Bing Chu, David H. Owens, and Herschel Rabitz In the quest to achieve scalable quantum information processing technologies, gradient-based optimal control algorithms (e.g., grape ) are broadly used for implementing high-precision quantum gates, but their performance is often hindered by deterministic or random errors in the system model and the ... [Phys. Rev. A 97, 042122] Published Tue Apr 24, 2018
    Keywords: Fundamental concepts
    Print ISSN: 1050-2947
    Electronic ISSN: 1094-1622
    Topics: Physics
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  • 10
    Publication Date: 2013-07-17
    Description: Author(s): Denys I. Bondar, Renan Cabrera, and Herschel A. Rabitz Utilizing operational dynamic modeling [ D. I. Bondar et al. Phys. Rev. Lett. 109 190403 (2012) ], we demonstrate that any finite-dimensional representation of quantum and classical dynamics violates the Ehrenfest theorems. Other peculiarities are also revealed, including the nonexistence of the fre... [Phys. Rev. A 88, 012116] Published Tue Jul 16, 2013
    Keywords: Fundamental concepts
    Print ISSN: 1050-2947
    Electronic ISSN: 1094-1622
    Topics: Physics
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