ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 1846-1875 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: This paper examines the dynamics and kinematics of reciprocal diffusions. Reciprocal processes were introduced by Bernstein in 1932, and were later studied in detail by Jamison. The reciprocal diffusions are constructed here by specifying their finite joint densities in terms of the Green's function of a general heat operator, and an end-point density. A path integral interpretation of the heat operator Green's function is provided, which is used to derive a stochastic form of Newton's law, as well as a conditional distribution for the velocity of a diffusing particle given its position. These results are then employed to derive two conservation laws expressing the conservation of mass and momentum. The conservation laws do not form a closed system of equations, in general, except for two subclasses of reciprocal diffusions, the Markov and quantum diffusions.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 769-802 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The dynamics and kinematics of reciprocal diffusions were examined in a previous paper [J. Math. Phys. 34, 1846 (1993)], where it was shown that reciprocal diffusions admit a chain of conservation laws, which close after the first two laws for two disjoint subclasses of reciprocal diffusions, the Markov and quantum diffusions. For the case of quantum diffusions, the conservation laws are equivalent to Schrödinger's equation. The Markov diffusions were employed by Schrödinger [Sitzungsber. Preuss. Akad. Wiss. Phys. Math Kl. 144 (1931); Ann. Inst. H. Poincaré 2, 269 (1932)], Nelson [Dynamical Theories of Brownian Motion (Princeton University, Princeton, NJ, 1967); Quantum Fluctuations (Princeton University, Princeton, NJ, 1985)], and other researchers to develop stochastic formulations of quantum mechanics, called stochastic mechanics. We propose here an alternative version of stochastic mechanics based on quantum diffusions. A procedure is presented for constructing the quantum diffusion associated to a given wave function. It is shown that quantum diffusions satisfy the uncertainty principle, and have a locality property, whereby given two dynamically uncoupled but statistically correlated particles, the marginal statistics of each particle depend only on the local fields to which the particle is subjected. However, like Wigner's joint probability distribution for the position and momentum of a particle, the finite joint probability densities of quantum diffusions may take negative values. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 3
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 139 (1967), S. 0 
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 1701-1710 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A layer-stripping procedure for solving three-dimensional Schrödinger equation inverse scattering problems is developed. This method operates by recursively reconstructing the potential from the jump in the scattered field at the wave front, and then using the reconstructed potential to propagate the wave front and the scattered field further into the inhomogeneous region. It is thus a generalization of algorithms that have been developed for one-dimensional inverse scattering problems. Although the procedure has not yet been numerically tested, the corresponding one-dimensional algorithms have performed well on synthetic data. The procedure is applied to a two-dimensional inverse seismic problem. Connections between simplifications of this method and Born approximation inverse scattering methods are also noted.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 5
    ISSN: 1546-170X
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Medicine
    Notes: [Auszug] Vascular endothelial growth factor (VEGF)-induced blood vessel growth is involved in both physiological and pathological angiogenesis and requires integrin-mediated signaling. We now show that an integrin-binding protein initially described in milk-fat globule, MFG-E8 (also known as lactadherin), ...
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Circuits, systems and signal processing 8 (1989), S. 313-340 
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In this paper we study the system-theoretic properties of two related classes of shift-invariant two-point boundary-value descriptor systems (TPBVDSs), namelydisplacement systems for which Green's function is shift-invariant, andstationary systems for which the input-output map is stationary. For such systems it is possible to obtain detailed characterizations of the properties of weak reachability and observability introduced in [16] and of minimality as well. An important difference, that has also been noted before in a different context [9], is that there is a certain level of nonuniqueness in minimal realizations. Another property that is studied in this paper is that of extendibility, i.e., the concept of considering a TPBVDS as being defined on a sequence of intervals of increasing length. Necessary and sufficient conditions for extendibility are given.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Circuits, systems and signal processing 8 (1989), S. 25-48 
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In this paper we consider models for noncausal processes consisting of discrete-time descriptor dynamics and boundary conditions on the values of the process at the two ends of the interval on which the process is defined. We discuss the general solution and well-posedness of systems of this type and then apply the method of complementary processes to obtain a specification of the optimal smoother in terms of a boundary-value descriptor Hamiltonian system. We then study the implementation of the optimal smoother. Motivated by the Hamiltonian diagonalization results for nondescriptor systems, we show how the descriptor Hamiltonian dynamics can be transformed to two lower-order systems by the use of transformation matrices involving the solution of two generalized Riccati equations. We present several examples illustrating our results and the nature of the smoothing solution and also present equations for covariance analysis of boundary-value descriptor processes including the smoothing error.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 8
    ISSN: 1432-2234
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Résumé L'énergie de la liaison hydrogène N...H-O dans le dimère ammoniac — eau a été calculée par la méthode LCAO-MO, à l'aide d'une base minimale d'orbitales de Slater dont les exposants sont déterminés variationnellement dans les monomères isolés. Les orbitales moléculaires occupées et virtuelles ont été déterminées par un calcul SCF classique; la corrélation électronique a été introduite par un calcul de perturbation du second ordre utilisant différentes bases d'orbitales moléculaires équivalentes. L'énergie de liaison du dimère est de 7,66 kcal/mole à l'étape SCF et de 9,65 kcal/mole après correction du second ordre. Ce dernier résultat est donné par un jeu d'orbitales moléculaires équivalentes obtenues par projection des orbitales canoniques des monomères dans l'espace des orbitales du dimère. Les valeurs précédentes sont réduites à 3,96 kcal/mole à l'étape SCF et à 4,63 kcal/mole au second ordre, si l'on tient compte de l'élargissement de base provenant de la proximité des monomères dans le dimère.
    Abstract: Zusammenfassung Mit Hilfe der LCAO-MO-Methode wurde die Energie der N...H-O-Wasserstoffbrücke im Dimeren (NH3, H2O) berechnet. Es wurde dazu ein minimaler, für die isolierten Monomeren optimierter Basissatz von Slater-Orbitalen benutzt. Die doppelt besetzten und die virtuellen Orbitale sind mit Standard-SCF-Techniken bestimmt worden, die Elektronenkorrelation wurde durch eine Störungsrechnung zweiter Ordnung unter Benutzung von anderen SÄtzen Äquivalenter Orbitale eingeführt. Mit der SCF-Rechnung erhielt man eine Bindungsenergie von 7,66 kcal/mol und nach Berücksichtigung der Störung zweiter Ordnung von 9,65 kcal/mol. Der letztgenannte Wert wird aus einem Satz Äquivalenter Orbitale erhalten, die durch Projektion der kanonischen Orbitale der Monomeren in den Raum der MO's der Dimeren entstehen. Diese beiden Werte werden zu 3,96 kcal/mol im SCF-Schritt und zu 4,63 kcal/mol in der zweiten Ordnung reduziert, wenn die Basiserweiterung, die durch die AnnÄherung der beiden Monomeren im Dimeren zustande kommt, in Betracht gezogen wird.
    Notes: Abstract The energy of the hydrogen bond N...H-O in the dimer (NH3, H2O) has been computed by the LCAO-MO method, using a minimal set of Slater-type orbitals optimized for the isolated monomers. The doubly occupied and virtual orbitals have been determined by the standard SCF technique, and electron correlation has been introduced by a complete second-order perturbation calculation, using different sets of equivalent MO's. The bonding energy is found to be equal to 7.66 kcal/mol at the SCF step and to 9.65 kcal/mol after second order corrections. The latter value is given by a set of equivalent MO's obtained by projecting the canonical MO's of the monomers into the space of the dimer MO's. The preceding values are reduced to 3.96 kcal/mol at the SCF step and to 4.63 kcal/mol at the second-order, if the basis extension arising from the vicinity of the two monomers inside the dimer is taken into account.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 48 (1978), S. 103-118 
    ISSN: 1432-2234
    Keywords: Hartree-Fock instabilities
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The Hartree-Fock instability of twelve polyatomic systems is studied at theab initio level. It is found that all the systems with at least one double bond, exhibit a non-singlet instability. On the other hand instabilities of singlet type as well as instabilities of non-real type appear only in a small number of cases. The existence of these instabilities is discussed with respect to the location of low-lying excited states and to the weight of ionic structure.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Acta applicandae mathematicae 3 (1985), S. 255-284 
    ISSN: 1572-9036
    Keywords: 35P25 ; 47B35 ; 65M25 ; 86.34 ; 93E10 ; Inverse scattering ; two-component wave equations ; scattering matrix ; fast Cholesky recursions ; Schur algorithm ; inverse seismic problem ; linear estimation ; ladder filters
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The Schur algorithm and its time-domain counterpart, the fast Cholseky recursions, are some efficient signal processing algorithms which are well adapted to the study of inverse scattering problems. These algorithms use a layer stripping approach to reconstruct a lossless scattering medium described by symmetric two-component wave equations which model the interaction of right and left propagating waves. In this paper, the Schur and fast Chokesky recursions are presented and are used to study several inverse problems such as the reconstruction of nonuniform lossless transmission lines, the inverse problem for a layered acoustic medium, and the linear least-squares estimation of stationary stochastic processes. The inverse scattering problem for asymmetric two-component wave equations corresponding to lossy media is also examined and solved by using two coupled sets of Schur recursions. This procedure is then applied to the inverse problem for lossy transmission lines.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...