Search results for 'harmonic' (try it on Scholar)

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  1. Sandro Sozzo (2013). The Quantum Harmonic Oscillator in the ESR Model. Foundations of Physics 43 (6):792-804.score: 24.0
    The ESR model proposes a new theoretical perspective which incorporates the mathematical formalism of standard (Hilbert space) quantum mechanics (QM) in a noncontextual framework, reinterpreting quantum probabilities as conditional on detection instead of absolute. We have provided in some previous papers mathematical representations of the physical entities introduced by the ESR model, namely observables, properties, pure states, proper and improper mixtures, together with rules for calculating conditional and overall probabilities, and for describing transformations of states induced by measurements. We study (...)
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  2. Fausto di Biase (2009). True or False? A Case in the Study of Harmonic Functions. Topoi 28 (2):143-160.score: 24.0
    Recent mathematical results, obtained by the author, in collaboration with Alexander Stokolos, Olof Svensson, and Tomasz Weiss, in the study of harmonic functions, have prompted the following reflections, intertwined with views on some turning points in the history of mathematics and accompanied by an interpretive key that could perhaps shed some light on other aspects of (the development of) mathematics.
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  3. Diego Julio Cirilo-Lombardo (2009). Non-Compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator II: Physical and Geometrical Considerations. [REVIEW] Foundations of Physics 39 (4):373-396.score: 21.0
    The physical meaning of the particularly simple non-degenerate supermetric, introduced in the previous part by the authors, is elucidated and the possible connection with processes of topological origin in high energy physics is analyzed and discussed. New possible mechanism of the localization of the fields in a particular sector of the supermanifold is proposed and the similarity and differences with a 5-dimensional warped model are shown. The relation with gauge theories of supergravity based in the OSP(1/4) group is explicitly given (...)
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  4. G. H. Goedecke (1983). Stochastic Electrodynamics. III. Statistics of the Perturbed Harmonic Oscillator-Zero-Point Field System. Foundations of Physics 13 (12):1195-1220.score: 18.0
    In this third paper in a series on stochastic electrodynamics (SED), the nonrelativistic dipole approximation harmonic oscillator-zero-point field system is subjected to an arbitrary classical electromagnetic radiation field. The ensemble-averaged phase-space distribution and the two independent ensemble-averaged Liouville or Fokker-Planck equations that it satisfies are derived in closed form without furtner approximation. One of these Liouville equations is shown to be exactly equivalent to the usual Schrödinger equation supplemented by small radiative corrections and an explicit radiation reaction (RR) vector (...)
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  5. G. H. Goedecke (1983). Stochastic Electrodynamics. II. The Harmonic Oscillator-Zero-Point Field System. Foundations of Physics 13 (11):1121-1138.score: 18.0
    In this second paper in a series on stochastic electrodynamics the system of a charged harmonic oscillator (HO) immersed in the stochastic zero-point field is analyzed. First, a method discussed by Claverie and Diner and Sanchez-Ron and Sanz permits a finite closed form renormalization of the oscillator frequency and charge, and allows the third-order Abraham-Lorentz (AL) nonrelativistic equation of motion, in dipole approximation, to be rewritten as an ordinary second-order equation, which thereby admits a conventional phase-space description and precludes (...)
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  6. G. H. Goedecke (1984). Stochastic Electrodynamics. IV. Transitions in the Perturbed Harmonic Oscillator-Zero-Point Field System. Foundations of Physics 14 (1):41-63.score: 18.0
    In this fourth paper in a series on stochastic electrodynamics (SED), the harmonic oscillator-zero-point field system in the presence of an arbitrary applied classical radiation field is studied further. The exact closed-form expressions are found for the time-dependent probability that the oscillator is in the nth eigenstate of the unperturbed SED Hamiltonian H 0 , the same H 0 as that of ordinary quantum mechanics. It is shown that an eigenvalue of H 0 is the average energy that the (...)
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  7. D. Han, Y. S. Kim & Marilyn E. Noz (1981). Physical Principles in Quantum Field Theory and in Covariant Harmonic Oscillator Formalism. Foundations of Physics 11 (11-12):895-905.score: 18.0
    It is shown that both covariant harmonic oscillator formalism and quantum field theory are based on common physical principles which include Poincaré covariance, Heisenberg's space-momentum uncertainty relation, and Dirac's “C-number” time-energy uncertainty relation. It is shown in particular that the oscillator wave functions are derivable from the physical principles which are used in the derivation of the Klein-Nishina formula.
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  8. K. Muralidhar (2014). Complex Vector Formalism of Harmonic Oscillator in Geometric Algebra: Particle Mass, Spin and Dynamics in Complex Vector Space. Foundations of Physics 44 (3):266-295.score: 18.0
    Elementary particles are considered as local oscillators under the influence of zeropoint fields. Such oscillatory behavior of the particles leads to the deviations in their path of motion. The oscillations of the particle in general may be considered as complex rotations in complex vector space. The local particle harmonic oscillator is analyzed in the complex vector formalism considering the algebra of complex vectors. The particle spin is viewed as zeropoint angular momentum represented by a bivector. It has been shown (...)
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  9. T. Padmanabhan (1994). Path Integral for the Relativistic Particle and Harmonic Oscillators. Foundations of Physics 24 (11):1543-1562.score: 18.0
    The action for a massive particle in special relativity can be expressed as the invariant proper length between the end points. In principle, one should be able to construct the quantum theory for such a system by the path integral approach using this action. On the other hand, it is well known that the dynamics of a free, relativistic, spinless massive particle is best described by a scalar field which is equivalent to an infinite number of harmonic oscillators. We (...)
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  10. Diego Julio Cirilo-Lombardo (2007). Non-Compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator. Foundations of Physics 37 (6):919-950.score: 18.0
    Relativistic geometrical action for a quantum particle in the superspace is analyzed from theoretical group point of view. To this end an alternative technique of quantization outlined by the authors in a previous work and that is based in the correct interpretation of the square root Hamiltonian, is used. The obtained spectrum of physical states and the Fock construction consist of Squeezed States which correspond to the representations with the lowest weights $\lambda=\frac{1}{4}$ and $\lambda=\frac{3}{4}$ with four possible (non-trivial) fractional representations (...)
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  11. Masaaki Kijima (1997). The Generalized Harmonic Mean and a Portfolio Problem with Dependent Assets. Theory and Decision 43 (1):71-87.score: 18.0
    McEntire (1984) proved that, for a portfolio problem with independent assets, the generalized harmonic mean plays the role of a risk-free threshold. Based upon this property, he developed a criterion for including or excluding assets in an optimal portfolio, and he proved an ordering theorem showing that an optimal portfolio always consists of positive amounts of the assets with the largest mean values. Also, some commonly used utility functions were shown to satisfy the property that the dominance of an (...)
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  12. A. Kyprianidis (1988). Trajectories of Two-Particle States for the Harmonic Oscillator. Foundations of Physics 18 (11):1077-1091.score: 18.0
    Using the example of a harmonic oscillator and nondispersive wave packets, we derive, in the frame of the causal interpretation, the equations of motion and particle trajectories in one- and two-particle systems. The role of the symmetry or antisymmetry of the wave function is analyzed as it manifests itself in the specific types of corelated trajectories. This simple example shows that the concepts of the quantum potential and the quantum forces prove to be essential for the specification of the (...)
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  13. Yossi Bachar, Rafael I. Arshansky, Lawrence P. Horwitz & Igal Aharonovich (2014). Lorentz Invariant Berry Phase for a Perturbed Relativistic Four Dimensional Harmonic Oscillator. Foundations of Physics 44 (11):1156-1167.score: 18.0
    We show the existence of Lorentz invariant Berry phases generated, in the Stueckelberg–Horwitz–Piron manifestly covariant quantum theory (SHP), by a perturbed four dimensional harmonic oscillator. These phases are associated with a fractional perturbation of the azimuthal symmetry of the oscillator. They are computed numerically by using time independent perturbation theory and the definition of the Berry phase generalized to the framework of SHP relativistic quantum theory.
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  14. H. S. Köhler (2014). Harmonic Oscillator Trap and the Phase-Shift Approximation. Foundations of Physics 44 (9):960-972.score: 18.0
    The energy-spectrum of two point-like particles interacting in a 3-D isotropic Harmonic Oscillator (H.O.) trap is related to the free scattering phase-shifts \(\delta \) of the particles by a formula first published by Busch et al. It is here used to find an expression for the shift of the energy levels, caused by the interaction, rather than the perturbed spectrum itself. In the limit of high energy (large quantum number \(n\) of the H.O.) this shift (in H.O. units) is (...)
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  15. Christopher Potts, Rajesh Bhatt, Joe Pater & Michael Becker, Harmonic Grammar with Linear Programming: From Linear Systems to Linguistic Typology.score: 18.0
    Harmonic Grammar (HG) is a model of linguistic constraint interaction in which well-formedness is calculated as the sum of weighted constraint violations. We show how linear programming algorithms can be used to determine whether there is a weighting for a set of constraints that fits a set of linguistic data. The associated software package OT-Help provides a practical tool for studying large and complex linguistic systems in the HG framework and comparing the results with those of OT. We describe (...)
     
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  16. Carlos Castro & Alex Granik (2003). Extended Scale Relativity, P-Loop Harmonic Oscillator, and Logarithmic Corrections to the Black Hole Entropy. Foundations of Physics 33 (3):445-466.score: 15.0
    An extended scale relativity theory, actively developed by one of the authors, incorporates Nottale's scale relativity principle where the Planck scale is the minimum impassible invariant scale in Nature, and the use of polyvector-valued coordinates in C-spaces (Clifford manifolds) where all lengths, areas, volumes⋅ are treated on equal footing. We study the generalization of the ordinary point-particle quantum mechanical oscillator to the p-loop (a closed p-brane) case in C-spaces. Its solution exhibits some novel features: an emergence of two explicit scales (...)
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  17. Harald Maurer (2009). Paul Smolensky, Géraldine Legendre: The Harmonic Mind. From Neural Computation to Optimality-Theoretic Grammar. Vol. 1: Cognitive Architecture. Vol. 2: Linguistic and Philosophical Implications. [REVIEW] Journal for General Philosophy of Science 40 (1):141-147.score: 15.0
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  18. Miguel Bobo de la Peña (2011). Monochord and Harmonic Canon: Two Comments on Ptol. Harm. 2.12 and 2.13. Classical Quarterly 61 (02):677-689.score: 15.0
  19. Alan C. Bowen (1982). The Foundations of Early Pythagorean Harmonic Science. Ancient Philosophy 2 (2):79-104.score: 15.0
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  20. William Ramsey (2009). The Harmonic Mind: From Neural Computation to Optimality-Theoretic Grammar-Volume 1: Cognitive Architecture and Volume 2: Linguistic and Philosophical Implications. [REVIEW] Philosophical Books 50 (3):172-184.score: 15.0
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  21. Malcolm Brown (1975). Pappus, Plato and the Harmonic Mean. Phronesis 20 (2):173-184.score: 15.0
  22. Andrew Barker (1984). Aristoxenus' Theorems and the Foundations of Harmonic Science. Ancient Philosophy 4 (1):23-64.score: 15.0
  23. Gaisi Takeuti (1979). A Transfer Principle in Harmonic Analysis. Journal of Symbolic Logic 44 (3):417-440.score: 15.0
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  24. Andrew Barker (1994). An Oxyrhynchus Fragment on Harmonic Theory. Classical Quarterly 44 (01):75-.score: 15.0
  25. K. Dechoum & Humberto de Menezes França (1995). Non-Heisenberg States of the Harmonic Oscillator. Foundations of Physics 25 (11):1599-1620.score: 15.0
    The effects of the vacuum electromagnetic fluctuations and the radiation reaction fields on the time development of a simple microscopic system are identified using a new mathematical method. This is done by studying a charged mechanical oscillator (frequency Ω 0)within the realm of stochastic electrodynamics, where the vacuum plays the role of an energy reservoir. According to our approach, which may be regarded as a simple mathematical exercise, we show how the oscillator Liouville equation is transformed into a Schrödinger-like stochastic (...)
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  26. Daniel Barenboim (2006). Mediterráneo Armónico= Harmonic Mediterranean. Contrastes: Revista Cultural 46:51-54.score: 15.0
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  27. K. Dechoum & H. M. FranÇa (1995). Non-Heisenberg States of the Harmonic Oscillator. Foundations of Physics 25 (11):1599-1620.score: 15.0
    The effects of the vacuum electromagnetic fluctuations and the radiation reaction fields on the time development of a simple microscopic system are identified using a new mathematical method. This is done by studying a charged mechanical oscillator (frequency Ω 0)within the realm of stochastic electrodynamics, where the vacuum plays the role of an energy reservoir. According to our approach, which may be regarded as a simple mathematical exercise, we show how the oscillator Liouville equation is transformed into a Schrödinger-like stochastic (...))
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  28. William P. Dempsey, Scott E. Fraser & Periklis Pantazis (2012). SHG Nanoprobes: Advancing Harmonic Imaging in Biology. Bioessays 34 (5):351-360.score: 15.0
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  29. A. S. Kechris & A. Louveau (1992). Descriptive Set Theory and Harmonic Analysis. Journal of Symbolic Logic 57 (2):413-441.score: 15.0
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  30. Tosca Lynch (2011). 'Hearing Numbers, Seeing Sounds' (D.) Creese The Monochord in Ancient Greek Harmonic Science. Pp. Xvi + 409, Figs. Cambridge: Cambridge University Press, 2010. Cased, £65, US$110. ISBN: 978-0-521-84324-9. [REVIEW] The Classical Review 61 (02):424-425.score: 15.0
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  31. Charles Nussbaum (1995). The Birth of Cadential-Harmonic Music From the Spirit of Modern Idealism. Idealistic Studies 25 (1):69-91.score: 15.0
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  32. M. L. West (1991). Greek Musical Writings II Andrew Barker (Tr.): Greek Musical Writings, II: Harmonic and Acoustic Theory. (Cambridge Readings in the Literature of Music.) Pp. Viii + 581; Diagrams. Cambridge University Press, 1989. £55. [REVIEW] The Classical Review 41 (01):45-46.score: 15.0
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  33. Friedrich Zipp (1972). History of Harmonic Pythagoreism. Philosophy and History 5 (1):24-26.score: 15.0
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  34. J. Bharucha (1983). The Representation of Harmonic Structure in Music: Hierarchies of Stability as a Function of Context. Cognition 13 (1):63-102.score: 15.0
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  35. E. Bigand, B. Tillmann, B. Poulin, D. A. D'Adamo & F. Madurell (2001). The Effect of Harmonic Context on Phoneme Monitoring in Vocal Music. Cognition 81 (1):B11-B20.score: 15.0
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  36. Alan C. Bowen (2002). Philosophy and Science (Princeton). He has Edited Selected Papers of FM Cornford (New York, 1987) and Science and Philosophy in Classical Greece (New York, 1991), and is the Author of Many Articles on the History of Greco-Latin Astronomy and Harmonic Science. He and Robert B. Todd. [REVIEW] Perspectives on Science 10 (2).score: 15.0
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  37. T. Busch, B. G. Englert & R. Z. A. Zewski (1997). K. And Wilkens, M. Two Cold Atoms in a Harmonic Trap. Foundations of Physics 28 (4):549-559.score: 15.0
     
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  38. William B. Conner (1983). Math's Metasonics: Creativity Through Calculator Harmonic Braiding. Tesla Book Co..score: 15.0
     
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  39. Richard Devore (1987). 'Nineteenth-Century Harmonic Dualism in the United States. Theoria 2:85-100.score: 15.0
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  40. Ashraf M. Mohy Eldin & Aliaa Aa Youssif (2013). A Hybrid Approach for Co-Channel Speech Segregation Based on CASA, HMM Multipitch Tracking, and Medium Frame Harmonic Model. Complexity 70:1.score: 15.0
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  41. Jon Alfred Mjoen (1922). Harmonic and Unharmonic Crossings: Racetypes and Racecrossings in Northern Norway. The Eugenics Review 14 (1):35.score: 15.0
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  42. S. Ptolemy (2011). Monochord and Harmonic Canon: Two Comments on Ptol. Harm. 2.12 and 2.13. Classical Quarterly 61:677-689.score: 15.0
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  43. Ma Schmuckler & M. Boltz (1992). Rhythmic Influences on Harmonic Expectancy. Bulletin of the Psychonomic Society 30 (6):457-457.score: 15.0
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  44. J. MacLean (1972). On Harmonic Ratios in Spectra. Annals of Science 28 (2):121-137.score: 15.0
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  45. Gerhard Grössing, Johannes Mesa Pascasio & Herbert Schwabl (2011). A Classical Explanation of Quantization. Foundations of Physics 41 (9):1437-1453.score: 9.0
    In the context of our recently developed emergent quantum mechanics, and, in particular, based on an assumed sub-quantum thermodynamics, the necessity of energy quantization as originally postulated by Max Planck is explained by means of purely classical physics. Moreover, under the same premises, also the energy spectrum of the quantum mechanical harmonic oscillator is derived. Essentially, Planck’s constant h is shown to be indicative of a particle’s “zitterbewegung” and thus of a fundamental angular momentum. The latter is identified with (...)
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  46. J. Batouli & M. El Baz (2014). Classical Interpretation of a Deformed Quantum Oscillator. Foundations of Physics 44 (2):105-113.score: 9.0
    Following the same procedure that allowed Shcrödinger to construct the (canonical) coherent states in the first place, we investigate on a possible classical interpretation of the deformed harmonic oscillator. We find that, these oscillator, also called q-oscillators, can be interpreted as quantum versions of classical forced oscillators with a modified q-dependant frequency.
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  47. Daniel Tschopp & Michael Nastanski (2013). The Harmonization and Convergence of Corporate Social Responsibility Reporting Standards. Journal of Business Ethics:1-16.score: 8.0
    The goal of this article is to evaluate the future of Corporate Social Responsibility (CSR) reporting in terms of the harmonization of reporting standards. The evolution and convergence of financial reporting standards are compared to that of CSR reporting standards. In addition, four globally recognized CSR reporting standards are evaluated. The content of each standard is reviewed, a representative from each standard organization is interviewed, and the standards are evaluated for decision usefulness. This research suggests that the Global Reporting Initiative (...)
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  48. Dannie di Tillio-gonzalez & Ruth L. Fischbach (2008). Harmonizing Regulations for Biomedical Research: A Critical Analysis of the Us and Venezuelan Systems. Developing World Bioethics 8 (3):167-177.score: 7.0
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  49. Bienke M. Janssen, Tine Van Regenmortel & Tineke A. Abma (2012). Balancing Risk Prevention and Health Promotion: Towards a Harmonizing Approach in Care for Older People in the Community. Health Care Analysis 22 (1):1-21.score: 6.0
    Many older people in western countries express a desire to live independently and stay in control of their lives for as long as possible in spite of the afflictions that may accompany old age. Consequently, older people require care at home and additional support. In some care situations, tension and ambiguity may arise between professionals and clients whose views on risk prevention or health promotion may differ. Following Antonovsky’s salutogenic framework, different perspectives between professionals and clients on the pathways that (...)
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