19 found
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  1.  44
    Nonperturbative Quantum Electrodynamics: The Lamb Shift. [REVIEW]A. O. Barut & J. Kraus - 1983 - Foundations of Physics 13 (2):189-194.
    The nonlinear integro-differential equation, obtained from the coupled Maxwell-Dirac equations by eliminating the potential Aμ, is solved by iteration rather than perturbation. The energy shift is complex, the imaginary part giving the spontaneous emission. Both self-energy and vacuum polarization terms are obtained. All results, including renormalization terms, are finite.
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  2. Bell's Theorem and the Foundations of Modern Physics.F. Barone, A. O. Barut, E. Beltrametti, S. Bergia, R. A. Bertlmann, H. R. Brown, G. C. Ghirardi, D. M. Greenberger, D. Home & M. Jammer - 1991 - Foundations of Physics 21 (8).
  3.  24
    Irreversibility, Organization, and Self-Organization in Quantum Electrodynamics.A. O. Barut - 1987 - Foundations of Physics 17 (6):549-559.
    QED is a fundamental microscopic theory satisfying all the conservation laws and discrete symmetries C, P, T. Yet, dissipative phenomena, organization, and self-organization occur even at this basic microscopic two-body level. How these processes come about and how they are described in QED is discussed. A possible new phase of QED due to self-energy effects leading to self-organization is predicted.
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  4.  16
    Particle-Like Configurations of the Electromagnetic Field: An Extension of de Broglie's Ideas.A. O. Barut & A. J. Bracken - 1992 - Foundations of Physics 22 (10):1267-1285.
    Localised configurations of the free electromagnetic field are constructed, possessing properties of massive, spinning, relativistic particles. In an inertial frame, each configuration travels in a straight line at constant speed, less than the speed of lightc, while slowly spreading. It eventually decays into pulses of radiation travelling at speedc. Each configuration has a definite rest mass and internal angular momentum, or spin. Each can be of “electric” or “magnetic” type, according as the radial component of the magnetic or electric field (...)
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  5.  12
    Electrodynamics in Terms of Functions Over the groupSU(2). I. The Equation of the Vector Potential.A. O. Barut & S. Malin - 1975 - Foundations of Physics 5 (3):375-386.
    This is the first in a series of papers in which a method of harmonic analysis in terms of functions over the groupSU(2) is applied to the description of interaction between matter and the electromagnetic field. Carmeli'sSU(2) formulation of Maxwell's equations is extended to anSU(2) formulation of the equations for the electromagnetic vector potential. The four functions which describe the vector potential are expanded in a generalized Fourier series [SU(2) harmonic analysis] and the equations for the coefficients are derived. These (...)
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  6. Conformal Space-Times—The Arenas of Physics and Cosmology.A. O. Barut, P. Budinich, J. Niederle & R. Raçzka - 1994 - Foundations of Physics 24 (11):1461-1494.
    The mathematical and physical aspects of the conformal symmetry of space-time and of physical laws are analyzed. In particular, the group classification of conformally flat space-times, the conformal compactifications of space-time, and the problem of imbedding of the flat space-time in global four-dimensional curved spaces with non-trivial topological and geometrical structure are discussed in detail. The wave equations on the compactified space-times are analyzed also, and the set of their elementary solutions constructed. Finally, the implications of global compactified space-times for (...)
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  7. Joint Probabilities of Noncommuting Operators and Incompleteness of Quantum Mechanics.A. O. Barut, M. Božić & Z. Marić - 1988 - Foundations of Physics 18 (10):999-1012.
    We use joint probabilities to analyze the EPR argument in the Bohm's example of spins.(1) The properties of distribution functions for two, three, or more noncommuting spin components are explicitly studied and their limitations are pointed out. Within the statistical ensemble interpretation of quantum theory (where only statements about repeated events can be made), the incompleteness of quantum theory does not follow, as the consistent use of joint probabilities shows. This does not exclude a completion of quantum mechanics, going beyond (...)
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  8.  76
    Debating the Final Theory.A. O. Barut - 1994 - Foundations of Physics 24 (11):1571-1576.
    Recent assertions that the present particle physics is on the path of a “final theory” which cannot be reduced to more fundamental ones is critically examined and confronted with a counter-thesis.
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  9.  51
    Combining Relativity and Quantum Mechanics: Schrödinger's Interpretation of Ψ. [REVIEW]A. O. Barut - 1988 - Foundations of Physics 18 (1):95-105.
    The incongruence between quantum theory and relativity theory is traced to the probability interpretation of the former. The classical continium interpretation of ψ removes the difficulty. How quantum properties of matter and light, and in particular the radiative problems, like spontaneous emission and Lamb shift, may be accounted in a first quantized Maxwell-Dirac system is discussed.
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  10.  50
    Quantum Theory of Single Events: Localized De Broglie Wavelets, Schrödinger Waves, and Classical Trajectories. [REVIEW]A. O. Barut - 1990 - Foundations of Physics 20 (10):1233-1240.
    For an arbitrary potential V with classical trajectoriesx=g(t), we construct localized oscillating three-dimensional wave lumps ψ(x, t,g) representing a single quantum particle. The crest of the envelope of the ripple follows the classical orbitg(t), slightly modified due to the potential V, and ψ(x, t,g) satisfies the Schrödinger equation. The field energy, momentum, and angular momentum calculated as integrals over all space are equal to the particle energy, momentum, and angular momentum. The relation to coherent states and to Schrödinger waves is (...)
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  11.  35
    On the Gyromagnetic Ratio in the Kaluza-Klein Theories and the Schuster-Blackett Law.A. O. Barut & Thomas Gornitz - 1985 - Foundations of Physics 15 (4):433-437.
    Pauli's five-dimensional Dirac equation in projective space, which results in an anomalous magnetic moment term in four dimensions, is related to the Schuster-Blackett law of the magnetic field of rotating bodies and to the recent results on the gyromagnetic ratio in Kaluza-Klein theories.
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  12.  26
    On Poisson Brackets and Symplectic Structures for the Classical and Quantum Zitterbewegung.A. O. Barut & N. Ünal - 1993 - Foundations of Physics 23 (11):1423-1429.
    The symplectic structures (brackets, Hamilton's equations, and Lagrange's equations) for the Dirac electron and its classical model have exactly the same form. We give explicitly the Poisson brackets in the dynamical variables (x μ,p μ,v μ,S μv). The only difference is in the normalization of the Dirac velocities γμγμ=4 which has significant consequences.
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  13.  10
    Electrodynamics in Terms of Functions Over the groupSU(2): II. Quantization. [REVIEW]A. O. Barut, S. Malin & M. Semon - 1982 - Foundations of Physics 12 (5):521-530.
    In a previous article by two of the present authors Carmeli's group-theoretic method for the formulation of wave equations was applied to the case of the electromagnetic field, and the equations for the vector potential were derived. In the present paper a quantization procedure for these equations is carried out in the Lorentz gauge. It involves two independent variables, corresponding to the number of degrees of freedom of the electromagnetic field in a Hilbert space with a positive-definite metric. Conserved quantities (...)
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  14.  76
    How to Avoid “Quantum Paradoxes”.A. O. Barut - 1992 - Foundations of Physics 22 (1):137-142.
    The “theorems” showing the impossibility of ascribing to individual quantum systems a definite value of a set of observables, not necessarily commuting,1–4 are based on the tacit assumption that eachindividual spin component has a discrete dichotomic value. We show explicitly that it is possible to introduce continuous hidden variables for individual spins which avoid these quantum paradoxes without changing any of the observed quantum mechanical results.
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  15.  12
    On Conservation of Parity and Time Reversal and Composite Models of Particles.A. O. Barut - 1983 - Foundations of Physics 13 (1):7-12.
    We show that it is possible to consider parity and time reversal, as basic geometric symmetry operations, as being absolutely conserved. The observations of symmetry-violating pseudoscalar quantities can be attributed to the fact that some particles, due to their internal structure, are not eigenstates of parity or CP, and there is no reason that they should be. In terms of a model it is shown how, in spite of this, pseudoscalar terms are small in strong interactions. The neutrino plays an (...)
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  16.  68
    On the Formulation of Electrodynamics From a Single Principle.A. O. Barut - 1994 - Foundations of Physics 24 (4):477-485.
    The single postulate of Coulomb-Clausius potential between charges allows one to derive all of Maxwell's equations with an explicit form for polarizability.
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  17.  38
    Quantum Theory of Single Events Continued. Accelerating Wavelets and the Stern-Gerlach Experiment.A. O. Barut - 1995 - Foundations of Physics 25 (2):377-381.
    Exact wavelet solutions of the wave equation for accelerating potentials are found and applied to single individual events in Stern-Gerlach experiment.
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  18.  16
    Suggestion for Unifying Two Types of Quantized Redshift of Astronomical Bodies.Martin Kokus & A. O. Barut - 1993 - Apeiron: Studies in Infinite Nature 16:11-13.
  19.  59
    Spinor Field as Elementary Excitations of a System of Scalar Fields.C. A. Uzes & A. O. Barut - 1998 - Foundations of Physics 28 (5):741-754.
    The Dirac field and its quanta are obtained from the imposition of an infinite member of Dirac 2 nd class constraints on a system of complex scalar fields having an indefinite internal metric. The spin-1/2 character of the constrained system follows from constraint-induced coupling of the scalar system's independent internal and space-time symmetries, from constraint restrictions on allowed symmetries. The resulting spinor field quanta are seen to exist as a class of “elementary excitations” belonging to a dynamical algebra existing naturally (...)
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