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  • 1
    Electronic Resource
    Electronic Resource
    Conformal geometry of the Kepler orbit space (1991)
    Springer
    Celestial mechanics and dynamical astronomy 52 (1991), S. 307-343 
    Details
    ISSN: 1572-9478
    Keywords: Two body problem ; conformal geometry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present here a group theoretical analysis of the structure of the space Ω of orbits in the classical (plane) Kepler problem, and relate it to the description of the Kepler orbits as curves in configuration and in velocity spaces. A Minkowskian parametrization in Ω is introduced which allows us a clear description of many aspects of this problem. In particular, this parametrization suggests us the introduction in Ω of a Lorentzian metric, whose conformal group SO(3, 2) contains a seven-dimensional subgroup which is induced by point transformations in the configuration space X. A SO(2, 1) subgroup of this group still acts transitively on X, which is thus identified as a homogeneous space for SO(2,1); each regular Kepler orbit is the trace of a one-dimensional subgroup whose canonical parameter automatically equals to the classical anomalies. These results are somehow a configuration space analogous of the geometrical structure of the Kepler problem in the velocity space previously known.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00048449
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  • 2
    Electronic Resource
    Electronic Resource
    The time-evolution operator for singular Lagrangians (1987)
    Springer
    Letters in mathematical physics 14 (1987), S. 203-210 
    Details
    ISSN: 1573-0530
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We give an intrinsic characterization of an operator K recently introduced for relating the Lagrangian and Hamiltonian constraints and describing the time evolution of functions in T *Q in terms of those of TQ. Its most remarkable properties are also studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00416849
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  • 3
    Electronic Resource
    Electronic Resource
    Distinguished Hamiltonian theorem for homogeneous symplectic manifolds (1991)
    Springer
    Letters in mathematical physics 23 (1991), S. 35-44 
    Details
    ISSN: 1573-0530
    Keywords: 58F05 ; 58B99 ; 70H15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A diffeomorphism of a finite-dimensional flat symplectic manifold which is canonoid with respect to all linear and quadratic Hamiltonians, preserves the symplectic structure up to a factor: so runs the ‘quadratic Hamiltonian theorem’. Here we show that the same conclusion holds for much smaller ‘sufficiency subsets’ of quadratic Hamiltonians, and the theorem may thus be extended to homogeneous infinite-dimensional symplectic manifolds. In this way, we identify the distinguished Hamiltonians for the Kähler manifold of equivalent quantizations of a Hilbertizable symplectic space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01811292
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  • 4
    Electronic Resource
    Electronic Resource
    Resistance to HSV-1 in the mouse is governed by two major, independently segregating, non-H-2 loci (1980)
    Springer
    Immunogenetics 11 (1980), S. 87-92 
    Details
    ISSN: 1432-1211
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract Earlier studies showed that genetic resistance of adult, inbred strains of mice to Herpes Simplex Virus-type 1 (HSV-1) is a dominant genetic trait. The present studies were undertaken to determine the number of genetic loci involved and whether they were found within the major histocompatibility complex,H-2, of the mouse. Challenge with HSV-1 of progeny of mice backcrossed to moderately susceptible BALB/c mice, of progeny of mice backcrossed to very susceptible A/J strain mice, and of progeny of the F-2 cross using (C57BL/6 × A/J)F1 mice indicated that two major loci were responsible for resistance. The backcrosses to BALB/c mice suggested that additional genes on this background enhanced resistance, while further backcrosses with the A/J mice indicated that other genes on the A/J background (or the lack thereof) reduced resistance. Studies with congenic mice showed that genes within theH-2 did not influence resistance or susceptibility.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01567772
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  • 5
    Electronic Resource
    Electronic Resource
    Adenosine reduces the potassium conductance of guinea pig submucosal plexus neurons by activating protein kinase A (1993)
    Springer
    Pflügers Archiv 424 (1993), S. 410-415 
    Details
    ISSN: 1432-2013
    Keywords: cAMP dependent protein kinase ; Potassium conductance ; Adenosine ; Enteric neurons ; Electrophysiology ; Submucosal neurons ; KT5720
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Intracellular recordings were made from S neurons of the submucosal plexus isolated from the guinea pig ileum. Adenosine or its analog 2-chloroadenosine (CADO) depolarized about 80% of neurons; previous work has shown that this results from activation of an A2 receptor. The depolarization was associated with an increase in membrane input resistance, became smaller with membrane hyperpolarization, reversed polarity at the potassium equilibrium potential and was mimicked and occluded by calcium-free solutions or by cadmium, suggesting that it is due to a reduction in a calcium dependent potassium conductance. Both forskolin (though not 1,9-dideoxyforskolin) and phorbol 12,13-dibutyrate (PDBu) mimicked and occluded the action of CADO. Staurosporine (a nonspecific inhibitor of protein kinases) blocked the depolarization induced by the phorbol ester within 5 min, and blocked the effects of forskolin and CADO in 15–35 min. The depolarization caused by CADO was inhibited by the specific inhibitor of protein kinase A KT5720 (8R*,9S*,11S*)-(−)-9-hydroxy-9-n-hexylester-8-methyl-2,3,9,10-tetrahydro-8,11-epoxy-1H, 8H,11H-2,7b-11a-triazadibenzo [a,g]cycloocta[cde]trin-den-1-one, whereas this inhibitor did not affect the depolarization induced by PDBu. The results are consistent with the control of this potassium conductance by protein kinase C, protein kinase A and intracellular calcium, and they indicate that adenosine reduces the conductance by activating protein kinase A.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00374902
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  • 6
    Electronic Resource
    Electronic Resource
    The Yale/San Juan Southern Proper Motion program (1991)
    Springer
    Astrophysics and space science 177 (1991), S. 59-63 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00643654
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  • 7
    Electronic Resource
    Electronic Resource
    New proper motions for some AGK3 stars (1991)
    Springer
    Astrophysics and space science 177 (1991), S. 73-77 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In a program conducted to isolate AGK3 stars with large proper motions, it has been found that more than one hundred stars seem to be affected by large errors in their published proper motions. For some of those objects south of +25 degrees, new proper motions are being obtained using, as first-epoch positions, the published material of the Astrographic Catalogue. Second-epoch positions are derived from new plates taken with the Yale Southern Observatory double astrograph.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00643656
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  • 8
    Electronic Resource
    Electronic Resource
    Heterogeneity in spontaneous and tetraethylammonium induced intracellular electrical activity in colonic circular muscle (1988)
    Springer
    Pflügers Archiv 412 (1988), S. 203-210 
    Details
    ISSN: 1432-2013
    Keywords: Colon electrophysiology ; Tetraethylammonium ; Smooth muscle ; Pacemaking activity ; Electromechanical coupling ; D600 ; Electrical activity ; Slow wave propagation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Marked differences were observed in the intracellular electrical activities (spontaneous and TEA-induced) comparing the submucosal and myenteric plexus surfaces of the circular muscle of the dog colon. Distinct characteristics of the cells at the myenteric plexus surface were: a less (10 mV) polarized membrane, a lower amplitude slow wave, and the occurrence of burst type spiking activity. However, slow waves with a high upstroke amplitude (∼2.5 times higher than the plateau) were observed in 40% of the preparations. This high upstroke amplitude was dependent on the occurrence of a regenerative membrane potential change (a spike) during the slow wave propagation into the myenteric plexus surface. Such a spike was mediated by Ca2+-influx and could be evoked or enhanced by electrical pulses or by blocking a TEA-sensitive potassium conductance. In the presence of TEA, spikes occurred in bursts. Both slow waves and spiking activities generated contraction. In conclusion, at least two types of cells exist in the circular muscle layer with marked differences in electrophysiological properties. Slow waves are generated at the submucosal surface, passively propagated to the outermost circular muscle where they induce regenerative membrane potential changes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00583751
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  • 9
    Electronic Resource
    Electronic Resource
    Sections along a map applied to higher-order Lagrangian mechanics. Noether's theorem (1991)
    Springer
    Acta applicandae mathematicae 25 (1991), S. 127-151 
    Details
    ISSN: 1572-9036
    Keywords: 58F05 ; Higher-order tangent bundles ; Higher-order Lagrangian mechanics ; sections along a map ; derivations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We show that the concept of a section along a map is a fundamental concept within the framework of the geometrical description of classical mechanics. We review the higher-order Lagrangian mechanics formulation, and simpler redefinitions of basic objects appear in a natural way. As an application, Noether's theorem for higher-order Lagrangian mechanics admitting a converse is developed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00047147
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  • 10
    Electronic Resource
    Electronic Resource
    Collapse and rebound of a charged dust-like star (1995)
    Springer
    General relativity and gravitation 27 (1995), S. 85-91 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that a charged spherically symmetric star, made out of a continuous superposition of thin shells with Poincaré stresses, undergoes gravitational collapse in free fall like an uncharged star of dust. The interior solution is a Friedmann universe matching the Reissner-Nordström geometry at the boundary of the star. When the absolute value of the chargeQ does not exceed the massM, the star rebounds elastically inside the event horizon at the radial coordinateQ 2/(2M). The further history of the charged star after the bounce is analyzed. Besides, a simple mechanism which accounts for the development of Poincaré stresses in an originally charged star of dust is suggested. It is also verified that the energy density is nonnegative all along the collapse process.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02105676
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