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  • Articles  (37)
  • Springer  (36)
  • American Chemical Society  (1)
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  • Articles  (37)
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  • 1
    Electronic Resource
    Electronic Resource
    Separation of the massless spin-1 equation in Robertson-Walker space-time (1996)
    Springer
    International journal of theoretical physics 35 (1996), S. 323-331 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The massless spin-1 free field equation is studied via the Newman-Penrose formalism and separated by the Chandrasekhar-Teukolski method. The temporal and angular equations are explicitly integrated. The radial equations are solved in the flat-universe case. The closed-universe case shows, in principle, the existence of a discrete spectrum of the energy of the massless particles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02083818
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  • 2
    Electronic Resource
    Electronic Resource
    Weyl Spinor and Solution of Massless Free Field Equations (2000)
    Springer
    International journal of theoretical physics 39 (2000), S. 377-387 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The massless field equations for arbitrary spin in curved space-time arereconsidered. The general solution of the field equation in Robertson-Walkerspace-time that was previously determined is briefly discussed after explicitlyshowing that the Weyl spinor vanishes. The case of the Lemaître-Tolman-Bondispace-time is studied in detail. The general expression of the corresponding Weylspinor is obtained and some particular situations exploited. The spin-3/2 andspin-2 massless field equations are solved explicitly. The solutions are simplifiedby the existence of nontrivial algebraic constraints. The angular part of theequations is separated by the usual separation method and integrated directly.The other equations that are not separated in the radial and time dependence arereduced to a simple form. The results obtained are extended, as a consequenceof previous results, to the case of arbitrary spin. The solution of the general caseessentially reduces to the treatment of spin 3/2 and spin 2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1003644511476
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  • 3
    Electronic Resource
    Electronic Resource
    Two-Slit Diffraction Pattern for Gaussian Wave Packets (1999)
    Springer
    International journal of theoretical physics 38 (1999), S. 911-918 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The complete prediction of diffraction forelectrons passing through one or two slits is obtainedfrom the pure wave propagation governed by theSchrodinger equation. By the further assumption ofelectromagnetic interaction between electrons and slits it isshown that, as already predicted by stochasticelectrodynamics with spin, there exist lateral maxima onthe diffraction pattern corresponding to the edges of the slits.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026617304784
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  • 4
    Electronic Resource
    Electronic Resource
    Dirac Equation with Central Potential: Discrete Spectrum of the Hydrogen Atom in the Robertson–Walker Space–Time (1999)
    Springer
    International journal of theoretical physics 38 (1999), S. 945-954 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The formulation of the Dirac equation withelectromagnetic field for a general space–time isspecialized to the Robertson–Walker metric. For aclass of physically meaningful electromagneticpotentials the angular part of the wave function separates asin the free-field case. The scheme is explicitly studiedfor a Coulomb potential. By using a realisticapproximation method one recovers the discrete energy levels of the hydrogen atom in Minkowski space.In case of static space–time, the result is exactfor zero curvature, while it is approximate for nonzerocurvature. The very good order of accuracy of the result is established by a comparison withsimilar qualitative and perturbative results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026677523439
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  • 5
    Electronic Resource
    Electronic Resource
    A proposition-state structure (1974)
    Springer
    Communications in mathematical physics 35 (1974), S. 93-99 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A generalization of the superposition principle of quantum mechanics is proposed introducing the concept of maximal state of a logic.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01646609
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  • 6
    Electronic Resource
    Electronic Resource
    Neutrino wave equation in the Robertson-Walker geometry (1994)
    Springer
    International journal of theoretical physics 33 (1994), S. 1053-1062 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The massless Dirac equation is separated in the Robertson-Walker geometry. The Schrödinger-like one-dimensional equation to which the problem is reduced is shown to admit a discrete positive spectrum. The existence or nonexistence of the discrete neutrino energy spectrum is connected, in the case of the standard cosmology, with the assumption that the universe is closed or not.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01882752
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  • 7
    Electronic Resource
    Electronic Resource
    Nonconservation of the net current of Dirac particles in Tolman-Bondi and Robertson-Walker geometries (1995)
    Springer
    International journal of theoretical physics 34 (1995), S. 1083-1091 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A straightforward calculation shows that, in contrast to what happens for the Dirac equation in the Kerr metric, the net current of particles is not conserved in the case of the Dirac equation in the Tolman-Bondi and Robertson-Walker space-times.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00671368
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  • 8
    Electronic Resource
    Electronic Resource
    Second Quantization of the Dirac Field: Normal Modes in the Robertson–Walker Space-Time (1998)
    Springer
    International journal of theoretical physics 37 (1998), S. 995-1009 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The quantization of the Dirac field in thecontext of the Robertson–Walker spacetime isreconsidered in some of its constitutive elements. Theparticular solutions of the Dirac equation previouslydetermined are used to construct the normal mode solutionsin the case of flat, closed, and open space-time. Theprocedure is based on a general standard definition ofinner product between solutions of the Dirac equation that is applied by making use of anintegral property of the separated time equation. Theopen-space case requires the recurrence relations offunctions associated to solutions of the Diracequation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026693218876
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  • 9
    Electronic Resource
    Electronic Resource
    Electromagnetic interpretation of the massless spin-1 field equation in curved space-time (1996)
    Springer
    International journal of theoretical physics 35 (1996), S. 2615-2624 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The source-free Maxwell equations associated to the massless spin-1 free field equation are considered in curved space-time. The gauge invariance of the theory is discussed by using as starting point the notion of the spinor potential. The structure of the electromagnetic field in the case of the Robertson-Walker space-time is discussed by using the solutions of the massless spin-1 equations previously determined. The flat-universe case of the standard cosmology is studied exactly and considered in some limiting physical situations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02085767
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  • 10
    Electronic Resource
    Electronic Resource
    Product of proposition-state structures preserving superposition (1994)
    Springer
    International journal of theoretical physics 33 (1994), S. 983-994 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The notion of product is introduced in the framework of proposition-state structures. Central roles are played by the invariance of the superposition relation and the maximality property of the states under the interaction of physical systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01882745
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