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

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  1.  82
    Sandro Sozzo (2013). The Quantum Harmonic Oscillator in the ESR Model. Foundations of Physics 43 (6):792-804.
    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.  52
    Fausto di Biase (2009). True or False? A Case in the Study of Harmonic Functions. Topoi 28 (2):143-160.
    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.  5
    Wayne Cheng-Wei Huang & Herman Batelaan (2015). Discrete Excitation Spectrum of a Classical Harmonic Oscillator in Zero-Point Radiation. Foundations of Physics 45 (3):333-353.
    We report that upon excitation by a single pulse, a classical harmonic oscillator immersed in the classical electromagnetic zero-point radiation exhibits a discrete harmonic spectrum in agreement with that of its quantum counterpart. This result is interesting in view of the fact that the vacuum field is needed in the classical calculation to obtain the agreement.
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  4.  3
    R. Roknizadeh & H. Heydari (2015). Complexifier Method for Generation of Coherent States of Nonlinear Harmonic Oscillator. Foundations of Physics 45 (7):827-839.
    In this work we present a construction of coherent states based on ”complexifier” method for a special type of one dimensional nonlinear harmonic oscillator presented by Mathews and Lakshmanan. We will show the state quantization by using coherent states, or to build the Hilbert space according to a classical phase space, is equivalent to departure from real coordinates to complex ones.
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  5.  51
    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.
    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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  6.  25
    Stephen Read, Harmonic Inferentialism and the Logic of Identity.
    Inferentialism claims that the rules for the use of an expression express its meaning without any need to invoke meanings or denotations for them. Logical inferentialism endorses inferentialism specically for the logical constants. Harmonic inferentialism, as the term is introduced here, usually but not necessarily a subbranch of logical inferentialism, follows Gentzen in proposing that it is the introduction-rules whch give expressions their meaning and the elimination-rules should accord harmoniously with the meaning so given. It is proposed here that (...)
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  7.  32
    H. S. Köhler (2014). Harmonic Oscillator Trap and the Phase-Shift Approximation. Foundations of Physics 44 (9):960-972.
    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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  8.  53
    T. Padmanabhan (1994). Path Integral for the Relativistic Particle and Harmonic Oscillators. Foundations of Physics 24 (11):1543-1562.
    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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  9.  43
    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.
    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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  10.  29
    Diego Julio Cirilo-Lombardo (2007). Non-Compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator. Foundations of Physics 37 (6):919-950.
    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. Christopher Potts, Rajesh Bhatt, Joe Pater & Michael Becker, Harmonic Grammar with Linear Programming: From Linear Systems to Linguistic Typology.
    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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  12.  25
    G. H. Goedecke (1983). Stochastic Electrodynamics. III. Statistics of the Perturbed Harmonic Oscillator-Zero-Point Field System. Foundations of Physics 13 (12):1195-1220.
    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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  13.  21
    G. H. Goedecke (1984). Stochastic Electrodynamics. IV. Transitions in the Perturbed Harmonic Oscillator-Zero-Point Field System. Foundations of Physics 14 (1):41-63.
    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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  14.  11
    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.
    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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  15.  17
    G. H. Goedecke (1983). Stochastic Electrodynamics. II. The Harmonic Oscillator-Zero-Point Field System. Foundations of Physics 13 (11):1121-1138.
    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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  16.  28
    Masaaki Kijima (1997). The Generalized Harmonic Mean and a Portfolio Problem with Dependent Assets. Theory and Decision 43 (1):71-87.
    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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  17.  13
    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.
    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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  18.  9
    Andrew Barker (1994). An Oxyrhynchus Fragment on Harmonic Theory. Classical Quarterly 44 (01):75-.
    The tattered remains of a few paragraphs of a work on harmonic theory were published in 1986 as P. Oxy. LIII.3706, with a careful commentary by M. W. Haslam. There are six fragments. Four of them are too small for any substantial sense to be recovered; and while fr. 2 and the second column of fr. 1 allow us to pick out significant words and phrases here and there, the remnants of these columns are very narrow, and the line (...)
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  19.  2
    A. Kyprianidis (1988). Trajectories of Two-Particle States for the Harmonic Oscillator. Foundations of Physics 18 (11):1077-1091.
    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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  20.  2
    Jennifer Culbertson & Elissa L. Newport (2015). Harmonic Biases in Child Learners: In Support of Language Universals. Cognition 139:71-82.
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  21.  8
    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.
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  22.  17
    Florencia Peyrou (2015). The Harmonic Utopia of Spanish Republicanism. Utopian Studies 26 (2):349-365.
    According to Bronislaw Baczko, utopias may be considered as different forms—they are not linked to any precise literary genre—of critique of social reality and the quest for alternatives. Some consist of a detailed description of a new social order, whereas others confine themselves to an overall design, which solely defines a series of values and principles. They all contain an ideal of perfection: a utopian view of the world always stems from the awareness of a breach between what must be (...)
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  23.  46
    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.
    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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  24.  1
    J. Bharucha (1983). The Representation of Harmonic Structure in Music: Hierarchies of Stability as a Function of Context. Cognition 13 (1):63-102.
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  25.  39
    Alan C. Bowen (1982). The Foundations of Early Pythagorean Harmonic Science. Ancient Philosophy 2 (2):79-104.
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  26. J. H. Cantrell (2006). Quantitative Assessment of Fatigue Damage Accumulation in Wavy Slip Metals From Acoustic Harmonic Generation. Philosophical Magazine 86 (11):1539-1554.
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  27.  9
    Jon Alfred Mjoen (1922). Harmonic and Unharmonic Crossings: Racetypes and Racecrossings in Northern Norway. The Eugenics Review 14 (1):35.
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  28. J. R. Hardy & R. Bullough (1967). Point Defect Interactions in Harmonic Cubic Lattices. Philosophical Magazine 15 (134):237-246.
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  29.  12
    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.
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  30.  25
    Andrew Barker (1984). Aristoxenus' Theorems and the Foundations of Harmonic Science. Ancient Philosophy 4 (1):23-64.
  31.  34
    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 / Zeitschrift für Allgemeine Wissenschaftstheorie 40 (1):141-147.
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  32.  2
    P. C. Schuck, J. Marian, J. B. Adams & B. Sadigh (2009). Vibrational Properties of Straight Dislocations in Bcc and Fcc Metals Within the Harmonic Approximation. Philosophical Magazine 89 (31):2861-2882.
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  33.  9
    Charles Nussbaum (1995). The Birth of Cadential-Harmonic Music From the Spirit of Modern Idealism. Idealistic Studies 25 (1):69-91.
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  34.  17
    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.
  35.  6
    Gaisi Takeuti (1979). A Transfer Principle in Harmonic Analysis. Journal of Symbolic Logic 44 (3):417-440.
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  36.  6
    K. Dechoum & Humberto de Menezes França (1995). Non-Heisenberg States of the Harmonic Oscillator. Foundations of Physics 25 (11):1599-1620.
    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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  37.  12
    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.
  38.  9
    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.
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  39.  2
    J. MacLean (1972). On Harmonic Ratios in Spectra. Annals of Science 28 (2):121-137.
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  40. Clive R. Scorey (1970). Recovery of Ultrasonic Third Harmonic Amplitude Changes in Sodium Chloride Following Small Plastic Deformation. Philosophical Magazine 21 (172):723-734.
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  41.  8
    A. S. Kechris & A. Louveau (1992). Descriptive Set Theory and Harmonic Analysis. Journal of Symbolic Logic 57 (2):413-441.
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  42.  7
    Malcolm Brown (1975). Pappus, Plato and the Harmonic Mean. Phronesis 20 (2):173-184.
  43.  7
    Malcolm Brown (1975). Pappus, Plato and the Harmonic Mean. Phronesis 20 (2):173 - 184.
  44.  3
    K. Dechoum & H. M. FranÇa (1995). Non-Heisenberg States of the Harmonic Oscillator. Foundations of Physics 25 (11):1599-1620.
    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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  45.  2
    William P. Dempsey, Scott E. Fraser & Periklis Pantazis (2012). SHG Nanoprobes: Advancing Harmonic Imaging in Biology. Bioessays 34 (5):351-360.
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  46.  1
    S. Ptolemy (2011). Monochord and Harmonic Canon: Two Comments on Ptol. Harm. 2.12 and 2.13. Classical Quarterly 61:677-689.
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  47.  1
    Liba Taub (2011). The Monochord in Ancient Greek Harmonic Science. [REVIEW] British Journal for the History of Science 44 (2):282-283.
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  48. Daniel Barenboim (2006). Mediterráneo Armónico= Harmonic Mediterranean. Contrastes: Revista Cultural 46:51-54.
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  49.  2
    Friedrich Zipp (1972). History of Harmonic Pythagoreism. Philosophy and History 5 (1):24-26.
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  50. T. M. Apple, J. H. Cantrell, C. M. Amaro, C. R. Mayer, W. T. Yost, S. R. Agnew & J. M. Howe (2013). Acoustic Harmonic Generation From Fatigue-Generated Dislocation Substructures in Copper Single Crystals. Philosophical Magazine 93 (21):2802-2825.
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