Academic literature on the topic 'Zero-Rest-Mass equations'

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Journal articles on the topic "Zero-Rest-Mass equations"

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ALHAIDARI, A. D. "EXACT SOLUTIONS OF DIRAC AND SCHRÖDINGER EQUATIONS FOR A LARGE CLASS OF POWER-LAW POTENTIALS AT ZERO ENERGY." International Journal of Modern Physics A 17, no. 30 (2002): 4551–66. http://dx.doi.org/10.1142/s0217751x02010911.

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We obtain exact solutions of Dirac equation for radial power-law relativistic potentials at rest mass energies. It turns out that these are the relativistic extension of a subclass of exact solutions of Schrödinger equation at zero energy carrying representations of SO(2,1) Lie algebra. The latter are obtained by point canonical transformations of the exactly solvable problem of the three dimensional oscillator. The wave function solutions are written in terms of the confluent hypergeometric functions and almost always square integrable. For most cases these solutions support bound states at z
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Kiessling, Michael K. H., and A. Shadi Tahvildar-Zadeh. "The Einstein–Infeld–Hoffmann legacy in mathematical relativity I: The classical motion of charged point particles." International Journal of Modern Physics D 28, no. 11 (2019): 1930017. http://dx.doi.org/10.1142/s0218271819300179.

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Einstein, Infeld and Hoffmann (EIH) claimed that the field equations of general relativity theory alone imply the equations of motion of neutral matter particles, viewed as point singularities in space-like slices of spacetime; they also claimed that they had generalized their results to charged point singularities. While their analysis falls apart upon closer scrutiny, the key idea merits our attention. This report identifies necessary conditions for a well-defined general-relativistic joint initial value problem of [Formula: see text] classical point charges and their electromagnetic and gra
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Hvidberg, Christine Schøtt. "Steady-state thermomechanical modelling of ice flow near the centre of large ice sheets with the finite-element technique." Annals of Glaciology 23 (1996): 116–23. http://dx.doi.org/10.1017/s026030550001332x.

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A finite-element model is developed in order to calculate the coupled ice and heat flow and the surface topography in cold, steady-state ice sheets. The model decouples the heat-flow equation and the surface mass-balance condition from the rest of the equations and solves the problem by an iterative method. The model is used to examine the thermomechanics of ice divides. Initial studies of a symmetric, plane ice divide and an axisymmetric ice divide have led to the following conclusions, which are consistent with previous results. The ice-divide zone is a narrow region, only a few ice thicknes
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Hvidberg, Christine Schøtt. "Steady-state thermomechanical modelling of ice flow near the centre of large ice sheets with the finite-element technique." Annals of Glaciology 23 (1996): 116–23. http://dx.doi.org/10.3189/s026030550001332x.

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A finite-element model is developed in order to calculate the coupled ice and heat flow and the surface topography in cold, steady-state ice sheets. The model decouples the heat-flow equation and the surface mass-balance condition from the rest of the equations and solves the problem by an iterative method. The model is used to examine the thermomechanics of ice divides. Initial studies of a symmetric, plane ice divide and an axisymmetric ice divide have led to the following conclusions, which are consistent with previous results. The ice-divide zone is a narrow region, only a few ice thicknes
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Butler, James P., Atul Malhotra, and Stephen H. Loring. "Revisiting atelectasis in lung units with low ventilation/perfusion ratios." Journal of Applied Physiology 126, no. 3 (2019): 782–86. http://dx.doi.org/10.1152/japplphysiol.00354.2018.

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Patients on high inspired O2 concentrations are at risk of atelectasis, a problem that has been quantitatively assessed using analysis of ratio of ventilation to perfusion (V̇a/Q̇) equations. This approach ignores the potential of the elastic properties of the lung to support gas exchange through “apneic” oxygenation in units with no tidal ventilation, and is based on an error in the conservation of mass equations. To fill this gap, we correct the error and compare the pressure drops associated with apneic gas exchange with the pressure differences that can be supported by lung recoil. We anal
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Contopoulos, G., N. Voglis, and C. Efthymiopoulos. "Chaos in Relativity and Cosmology." International Astronomical Union Colloquium 172 (1999): 1–16. http://dx.doi.org/10.1017/s0252921100072365.

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AbstractChaos appears in various problems of Relativity and Cosmology. Here we discuss (a) the Mixmaster Universe model, and (b) the motions around two fixed black holes, (a) The Mixmaster equations have a general solution (i.e. a solution depending on 6 arbitrary constants) of Painlevé type, but there is a second general solution which is not Painlevé. Thus the system does not pass the Painlevé test, and cannot be integrable. The Mixmaster model is not ergodic and does not have any periodic orbits. This is due to the fact that the sum of the three variables of the system (α + β + γ) has only
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"Massless fields on Minkowski space-time with quantized, Kerr sources." Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 441, no. 1911 (1993): 191–200. http://dx.doi.org/10.1098/rspa.1993.0056.

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Solutions to the zero rest mass field equations generated by spinning Kerr sources are reviewed. It is shown that the act of quantization removes the singularity when the source has spin ½ . For a Maxwell field, the integrated self-energy is also finite.
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Hill, James M. "Four states of matter and centrally symmetric de Broglie particle–wave mechanical systems." Mathematics and Mechanics of Solids, September 15, 2020, 108128652095490. http://dx.doi.org/10.1177/1081286520954904.

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The dark issues of cosmological mechanics imply that our accounting for mass and energy at this scale is incorrect. On the other hand, existing theory not only accounts for atomic physics, but does so to a very high degree of accuracy. de Broglie was first to propose a concrete physical picture of the co-existence of both particle and its associated wave. We have previously proposed a Lorentz invariant modification of Newton’s second law that applies when the particle energy itself is of comparable magnitude to the potential energy of the applied external field. A dual particle–wave formulatio
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Dissertations / Theses on the topic "Zero-Rest-Mass equations"

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Holka, Lukáš. "Spinorové techniky pro konstrukci kvazilokálních veličin v obecné relativitě." Master's thesis, 2014. http://www.nusl.cz/ntk/nusl-341268.

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Books on the topic "Zero-Rest-Mass equations"

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Wittman, David M. Energy and Momentum. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0012.

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Tis chapter explains the famous equation E = mc2 as part of a wider relationship between energy, mass, and momentum. We start by defning energy and momentum in the everyday sense. We then build on the stretching‐triangle picture of spacetime vectors developed in Chapter 11 to see how energy, mass, and momentum have a deep relationship that is not obvious at everyday low speeds. When momentum is zero (a mass is at rest) this energy‐momentum relation simplifes to E = mc2, which implies that mass at rest quietly stores tremendous amounts of energy. Te energymomentum relation also implies that tra
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Book chapters on the topic "Zero-Rest-Mass equations"

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"Solving the Zero Rest Mass Equations I." In An Introduction to Twistor Theory. Cambridge University Press, 1994. http://dx.doi.org/10.1017/cbo9780511624018.010.

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"Solving the Zero Rest Mass Equations II." In An Introduction to Twistor Theory. Cambridge University Press, 1994. http://dx.doi.org/10.1017/cbo9780511624018.012.

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Conference papers on the topic "Zero-Rest-Mass equations"

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DeSouza, Luiz Carlos Gadelha, and Silmara Alexandra DaSilva. "Vibration Control of a Rigid-Flexible Satellite During Attitude Maneuver." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8164.

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Abstract The paper presents the results of an active structural vibration control of a flexible satellite performed by a proof-mass actuator (PMA) during an attitude rotation maneuver. The satellite investigated is composed of a rigid rub plus a cantilevered flexible beam with the PMA located at the beam free end. As the satellite maneuvers from rest to a pre-defined position, the rigid body motion can excite the flexible part of the satellite. The PMA tasks is to damp-out any residual vibration caused by this maneuver efficiently. The rigid/flexible satellite is modeled, using a relatively si
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