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Relevant bibliographies by topics / Conserved quantities

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Academic literature on the topic 'Conserved quantities'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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Journal articles on the topic "Conserved quantities"

1

RYVKIN, LEONID, TILMANN WURZBACHER, and MARCO ZAMBON. "CONSERVED QUANTITIES ON MULTISYMPLECTIC MANIFOLDS." Journal of the Australian Mathematical Society 108, no. 1 (2018): 120–44. http://dx.doi.org/10.1017/s1446788718000381.

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Given a vector field on a manifold $M$, we define a globally conserved quantity to be a differential form whose Lie derivative is exact. Integrals of conserved quantities over suitable submanifolds are constant under time evolution, the Kelvin circulation theorem being a well-known special case. More generally, conserved quantities are well behaved under transgression to spaces of maps into $M$. We focus on the case of multisymplectic manifolds and Hamiltonian vector fields. Our main result is that in the presence of a Lie group of symmetries admitting a homotopy co-momentum map, one obtains a whole family of globally conserved quantities. This extends a classical result in symplectic geometry. We carry this out in a general setting, considering several variants of the notion of globally conserved quantity.

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ANDERSON, N., and A. M. ARTHURS. "Conserved quantities in electromagnetic theory." International Journal of Electronics 60, no. 4 (1986): 527–30. http://dx.doi.org/10.1080/00207218608920811.

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Kroon, Juan Antonio Valiente. "Conserved quantities for polyhomogeneous spacetimes." Classical and Quantum Gravity 15, no. 8 (1998): 2479–91. http://dx.doi.org/10.1088/0264-9381/15/8/023.

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DUNSBY, PETER K. S., and MARCO BRUNI. "CONSERVED QUANTITIES IN PERTURBED INFLATIONARY UNIVERSES." International Journal of Modern Physics D 03, no. 02 (1994): 443–59. http://dx.doi.org/10.1142/s0218271894000629.

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Given that observations seem to favour a density parameter Ω0<1, corresponding to an open universe, we consider gauge-invariant perturbations of nonflat Robertson-Walker universes filled with a general imperfect fluid which can also be taken to represent a scalar field. Our aim is to set up the equations that govern the evolution of the density perturbations Δ so that it can be determined through a first order differential equation with a quantity [Formula: see text] which is conserved at any length scale, even in nonflat universe models, acting as a source term. The quantity [Formula: see text] generalizes other variables that are conserved in specific cases (for example at large scales in a flat universe) and is useful to connect different epochs in the evolution of density perturbations via a transfer function. We show that the problem of finding a conserved [Formula: see text] can be reduced to determining two auxiliary variables X and Y, and illustrate the method with two simple examples.

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Nagao, T. "Level Dynamics and the Conserved Quantities." Progress of Theoretical Physics Supplement 116 (May 16, 2013): 347–50. http://dx.doi.org/10.1143/ptp.116.347.

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Nagao, Taro. "Level Dynamics and the Conserved Quantities." Progress of Theoretical Physics Supplement 116 (1994): 347–50. http://dx.doi.org/10.1143/ptps.116.347.

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Fuk, Henryk. "Probabilistic cellular automata with conserved quantities." Nonlinearity 17, no. 1 (2003): 159–73. http://dx.doi.org/10.1088/0951-7715/17/1/010.

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Perng, Shyan-Ming. "On conserved quantities at spatial infinity." Journal of Mathematical Physics 40, no. 4 (1999): 1923–50. http://dx.doi.org/10.1063/1.532841.

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Markopoulou, Fotini. "Conserved quantities in background independent theories." Journal of Physics: Conference Series 67 (May 1, 2007): 012019. http://dx.doi.org/10.1088/1742-6596/67/1/012019.

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Dray, Tevian, and T. Padmanabhan. "Conserved quantities from piecewise Killing vectors." General Relativity and Gravitation 21, no. 7 (1989): 741–45. http://dx.doi.org/10.1007/bf00759083.

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Dissertations / Theses on the topic "Conserved quantities"

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Erbas, Kadir Can. "Some Properties And Conserved Quantities Of The Short Pulse Equation." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609368/index.pdf.

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Short Pulse equation derived by Schafer and Wayne is a nonlinear partial differential equation that describes ultra short laser propagation in a dispersive optical medium such as optical fibers. Some properties of this equation e.g. traveling wave solution and its soliton structure and some of its conserved quantities were investigated. Conserved quantities were obtained by mass conservation law, lax pair method and transformation between Sine-Gordon and short pulse equation. As a result, loop soliton characteristic and six conserved quantities were found.

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Bart, Henk [Verfasser], and Dieter [Akademischer Betreuer] Lüst. "Quasi-local conserved quantities in general relativity / Henk Bart ; Betreuer: Dieter Lüst." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2019. http://d-nb.info/1206878347/34.

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Valiente-Kroon, Juan Antonio. "On conserved quantities, symmetries and radioactive properties of peeling and non-peeling (polyhomogeneous) asymptotically flat spacetimes." Thesis, Queen Mary, University of London, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.392994.

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Ryvkin, Leonid [Verfasser], Tilmann [Gutachter] Wurzbacher, and Peter [Gutachter] Heinzner. "Normal forms and conserved quantities in multisymplectic geometry / Leonid Ryvkin ; Gutachter: Tilmann Wurzbacher, Peter Heinzner ; Fakultät für Mathematik." Bochum : Ruhr-Universität Bochum, 2018. http://d-nb.info/1163451460/34.

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Scherg, Sebastian [Verfasser], and Immanuel [Akademischer Betreuer] Bloch. "Probing nonequilibrium dynamics in Fermi-Hubbard chains - from extensively-many to few conserved quantities / Sebastian Scherg ; Betreuer: Immanuel Bloch." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2021. http://d-nb.info/1228787433/34.

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Ngome, Abiaga Juste Jean-Paul. "(Super) symétries des modèles semi-classiques en physique théorique et de la matière condensée." Phd thesis, Tours, 2011. http://tel.archives-ouvertes.fr/tel-00622874.

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L'algorithme covariant de van Holten, servant à construire des quantités conservées, est présenté avec une attention particulière portée sur les vecteurs de type Runge-Lenz. La dynamique classique des particules portant des charges isospins est passée en revue. Plusieures applications physiques sont considerées. Des champs de type monopôles non-Abéliens, générés par des mouvements nucléaires dans les molécules diatomiques, introduites par Moody, Shapere et Wilczek, sont étudiées. Dans le cas des espaces courbes, le formalisme de van Holten permet de décrire la symétrie dynamique des monopôles Kaluza-Klein généralisés. La procédure est étendue à la supersymétrie et appliquée aux monopôles supersymétriques. Une autre application, concernant l'oscillateur non-commutatif en dimension trois, est également traitée.

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Sun, Gang, and 孫綱. "Quasilocal Conserved Quantities For General Relativity In Small Regions." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/03366974374185869133.

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碩士<br>國立中央大學<br>物理研究所<br>93<br>Gravitational energy has been a concern for a long time. There are several ways to deal with the problem, but the best way is the quasilocal approach. The NCU group has been developing their quasilocal approach – the covariant Hamiltonian formalism, and has obtained good results for spatial and null infinity. In addition to these infinite cases; there is another limit case – the small region limit. The small region vacuum limit provides an important test of the quasilocal expression. Whereas the large scale asymptotic limit tests only the weak field linearized part of the expression, the small scale vacuum limit probes the next order non-linear part. In this thesis the purpose is to test the covariant Hamiltonian formalism in the small region limit. In the first chapter, we will introduce the basic ideas of the quasilocal method and some related ideas. In chapter two, we will show the readers what the covariant Hamiltonian formulism is and how to derive it. In the chapter three, we will introduce some general concepts about energy-momentum, angular momentum and center-of-mass moment, and the relation between these physical quantities and conservation. In the next chapter, the detailed procedure on how to get quasilocal values in the small region limit, including the vacuum case and matter case, using covariant Hamiltonian formulism will follow. In the final chapter, we will discuss the meaning of our results and conclude that only one of the four covariant Hamiltonian expressions gives positive energy in the first non-linear order. Finally we will comment some deficiencies.

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Lepule, Seipati. "Invariances, conservation laws and conserved quantities of the two-dimensional nonlinear Schrodinger-type equation." Thesis, 2014. http://hdl.handle.net/10539/18573.

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A dissertation submitted to the Faculty of Science, University of the Witwatersrand, in fulfilment of the requirements for the degree of Master of Science. Johannesburg, 2014.<br>Symmetries and conservation laws of partial di erential equations (pdes) have been instrumental in giving new approaches for reducing pdes. In this dissertation, we study the symmetries and conservation laws of the two-dimensional Schr odingertype equation and the Benney-Luke equation, we use these quantities in the Double Reduction method which is used as a way to reduce the equations into a workable pdes or even an ordinary di erential equations. The symmetries, conservation laws and multipliers will be determined though di erent approaches. Some of the reductions of the Schr odinger equation produced some famous di erential equations that have been dealt with in detail in many texts.

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Naz, Rehana. "Symmetry solutions and conservation laws for some partial differential equations in fluid mechanics." Thesis, 2009. http://hdl.handle.net/10539/6982.

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ABSTRACT In jet problems the conserved quantity plays a central role in the solution process. The conserved quantities for laminar jets have been established either from physical arguments or by integrating Prandtl's momentum boundary layer equation across the jet and using the boundary conditions and the continuity equation. This method of deriving conserved quantities is not entirely systematic and in problems such as the wall jet requires considerable mathematical and physical insight. A systematic way to derive the conserved quantities for jet °ows using conservation laws is presented in this dissertation. Two-dimensional, ra- dial and axisymmetric °ows are considered and conserved quantities for liquid, free and wall jets for each type of °ow are derived. The jet °ows are described by Prandtl's momentum boundary layer equation and the continuity equation. The stream function transforms Prandtl's momentum boundary layer equation and the continuity equation into a single third- order partial di®erential equation for the stream function. The multiplier approach is used to derive conserved vectors for the system as well as for the third-order partial di®erential equation for the stream function for each jet °ow. The liquid jet, the free jet and the wall jet satisfy the same partial di®erential equations but the boundary conditions for each jet are di®erent. The conserved vectors depend only on the partial di®erential equations. The derivation of the conserved quantity depends on the boundary conditions as well as on the di®erential equations. The boundary condi- tions therefore determine which conserved vector is associated with which jet. By integrating the corresponding conservation laws across the jet and imposing the boundary conditions, conserved quantities are derived. This approach gives a uni¯ed treatment to the derivation of conserved quantities for jet °ows and may lead to a new classi¯cation of jets through conserved vectors. The conservation laws for second order scalar partial di®erential equations and systems of partial di®erential equations which occur in °uid mechanics are constructed using di®erent approaches. The direct method, Noether's theorem, the characteristic method, the variational derivative method (mul- tiplier approach) for arbitrary functions as well as on the solution space, symmetry conditions on the conserved quantities, the direct construction formula approach, the partial Noether approach and the Noether approach for the equation and its adjoint are discussed and explained with the help of an illustrative example. The conservation laws for the non-linear di®usion equa- tion for the spreading of an axisymmetric thin liquid drop, the system of two partial di®erential equations governing °ow in the laminar two-dimensional jet and the system of two partial di®erential equations governing °ow in the laminar radial jet are discussed via these approaches. The group invariant solutions for the system of equations governing °ow in two-dimensional and radial free jets are derived. It is shown that the group invariant solution and similarity solution are the same. The similarity solution to Prandtl's boundary layer equations for two- dimensional and radial °ows with vanishing or constant mainstream velocity gives rise to a third-order ordinary di®erential equation which depends on a parameter. For speci¯c values of the parameter the symmetry solutions for the third-order ordinary di®erential equation are constructed. The invariant solutions of the third-order ordinary di®erential equation are also derived.

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Books on the topic "Conserved quantities"

1

Suraishkumar, G. K. Continuum analysis of biological systems: Conserved quantities, fluxes and forces. Springer, 2014.

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Suraishkumar, G. K. Continuum Analysis of Biological Systems: Conserved Quantities, Fluxes and Forces. Springer, 2016.

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Suraishkumar, G. K. Continuum Analysis of Biological Systems: Conserved Quantities, Fluxes and Forces. Springer, 2014.

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Deruelle, Nathalie, and Jean-Philippe Uzan. Conservation laws. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0007.

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This chapter defines the conserved quantities associated with an isolated dynamical system, that is, the quantities which remain constant during the motion of the system. The law of momentum conservation follows directly from Newton’s third law. The superposition principle for forces allows Newton’s law of motion for a body Pa acted on by other bodies Pa′ in an inertial Cartesian frame S. The law of angular momentum conservation holds if the forces acting on the elements of the system depend only on the separation of the elements. Finally, the conservation of total energy requires in addition that the forces be derivable from a potential.

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Deruelle, Nathalie, and Jean-Philippe Uzan. Conservation laws. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0045.

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This chapter studies how the ‘spacetime symmetries’ can generate first integrals of the equations of motion which simplify their solution and also make it possible to define conserved quantities, or ‘charges’, characterizing the system. As already mentioned in the introduction to matter energy–momentum tensors in Chapter 3, the concepts of energy, momentum, and angular momentum are related to the invariance properties of the solutions of the equations of motion under spacetime translations or rotations. The chapter explores these in greater detail. It first turns to isometries and Killing vectors. The chapter then examines the first integrals of the geodesic equation, and Noether charges.

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Mann, Peter. Symmetries & Lagrangian-Hamilton-Jacobi Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0011.

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This chapter discusses conservation laws in Lagrangian mechanics and shows that certain conservation laws are just particular examples of a more fundamental theory called ‘Noether’s theorem’, after Amalie ‘Emmy’ Noether, who first discovered it in 1918. The chapter starts off by discussing Noether’s theorem and symmetry transformations in Lagrangian mechanics in detail. It then moves on to gauge theory and surface terms in the action before isotropic symmetries. continuous symmetry, conserved quantities, conjugate momentum, cyclic coordinates, Hessian condition and discrete symmetries are discussed. The chapter also covers Lie algebra, spontaneous symmetry breaking, reduction theorems, non-dynamical symmetries and Ostrogradsky momentum. The final section of the chapter details Carathéodory–Hamilton–Jacobi theory in the Lagrangian setting, to derive the Hamilton–Jacobi equation on the tangent bundle!

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Mann, Peter. Point Transformations in Lagrangian Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0009.

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This chapter discusses point transformations in Lagrangian mechanics. Sometimes, when solving problems, it is useful to change coordinates in velocity phase space to better suit and simplify the system at hand; this is a requirement of any physical theory. This change is often motivated by some experimentally observed physicality of the system or may highlight new conserved quantities that might have been overlooked using the old description. In the Newtonian formalism, it was a bit of a hassle to change coordinates and the equations of motion will look quite different. In this chapter, point transformations in Lagrangian mechanics are developed and the Euler–Lagrange equation is found to be covariant. The chapter discusses coordinate transformations, parametrisation invariance and the Jacobian of the transform. Re-parametrisations are also included.

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Kenyon, Ian R. Quantum 20/20. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198808350.001.0001.

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This text reviews fundametals and incorporates key themes of quantum physics. One theme contrasts boson condensation and fermion exclusivity. Bose–Einstein condensation is basic to superconductivity, superfluidity and gaseous BEC. Fermion exclusivity leads to compact stars and to atomic structure, and thence to the band structure of metals and semiconductors with applications in material science, modern optics and electronics. A second theme is that a wavefunction at a point, and in particular its phase is unique (ignoring a global phase change). If there are symmetries, conservation laws follow and quantum states which are eigenfunctions of the conserved quantities. By contrast with no particular symmetry topological effects occur such as the Bohm–Aharonov effect: also stable vortex formation in superfluids, superconductors and BEC, all these having quantized circulation of some sort. The quantum Hall effect and quantum spin Hall effect are ab initio topological. A third theme is entanglement: a feature that distinguishes the quantum world from the classical world. This property led Einstein, Podolsky and Rosen to the view that quantum mechanics is an incomplete physical theory. Bell proposed the way that any underlying local hidden variable theory could be, and was experimentally rejected. Powerful tools in quantum optics, including near-term secure communications, rely on entanglement. It was exploited in the the measurement of CP violation in the decay of beauty mesons. A fourth theme is the limitations on measurement precision set by quantum mechanics. These can be circumvented by quantum non-demolition techniques and by squeezing phase space so that the uncertainty is moved to a variable conjugate to that being measured. The boundaries of precision are explored in the measurement of g-2 for the electron, and in the detection of gravitational waves by LIGO; the latter achievement has opened a new window on the Universe. The fifth and last theme is quantum field theory. This is based on local conservation of charges. It reaches its most impressive form in the quantum gauge theories of the strong, electromagnetic and weak interactions, culminating in the discovery of the Higgs. Where particle physics has particles condensed matter has a galaxy of pseudoparticles that exist only in matter and are always in some sense special to particular states of matter. Emergent phenomena in matter are successfully modelled and analysed using quasiparticles and quantum theory. Lessons learned in that way on spontaneous symmetry breaking in superconductivity were the key to constructing a consistent quantum gauge theory of electroweak processes in particle physics.

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Book chapters on the topic "Conserved quantities"

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Dray, Tevian. "Piecewise Conserved Quantities." In Gravity and the Quantum. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51700-1_8.

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Roe, Byron P. "Invariance, Symmetries, and Conserved Quantities." In Solutions Manual for Particle Physics at the New Millennium. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-2362-7_4.

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Singer, Stephanie Frank. "Conserved Quantities are Momentum Maps." In Symmetry in Mechanics. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-1-4612-0189-2_8.

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Fecko, Marián. "Nambu Mechanics: Symmetries and Conserved Quantities." In Trends in Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-63594-1_5.

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Stangle, Gregory C. "Conserved quantities for the balance equations." In Modelling of Materials Processing. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5813-2_2.

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Hinds Mingo, Erick, Yelena Guryanova, Philippe Faist, and David Jennings. "Quantum Thermodynamics with Multiple Conserved Quantities." In Fundamental Theories of Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99046-0_31.

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Allemandi, G., L. Fatibene, M. Ferraris, M. Francaviglia, and M. Raiteri. "Nöther Conserved Quantities and Entropy in General Relativity." In Recent Developments in General Relativity, Genoa 2000. Springer Milan, 2002. http://dx.doi.org/10.1007/978-88-470-2101-3_6.

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Nazarenko, Sergey. "Conserved Quantities in Wave Turbulence and their Cascades." In Wave Turbulence. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-15942-8_8.

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Kolsrud, Torbjørn. "Quantum and Classical Conserved Quantities: Martingales, Conservation Laws and Constants of Motion." In Stochastic Analysis and Applications. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-70847-6_20.

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Kajiwara, K., and J. Satsuma. "A Derivation of Conserved Quantities and Symmetries for the Multi-Dimensional Soliton Equations." In Nonlinear Evolution Equations and Dynamical Systems. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-76172-0_14.

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Conference papers on the topic "Conserved quantities"

1

Koch, Volker. "Fluctuations of conserved quantities." In Correlations and Fluctuations in Relativistic Nuclear Collisions. Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.030.0008.

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Dolan, Brian. "Conserved quantities in general relativity and anomalies." In Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity". Sissa Medialab, 2020. http://dx.doi.org/10.22323/1.376.0182.

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Markovsky, Ivan, and Shodhan Rao. "Palindromic polynomials, time-reversible systems, and conserved quantities." In Automation (MED 2008). IEEE, 2008. http://dx.doi.org/10.1109/med.2008.4602018.

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Mann, R. B. "Conserved Quantities, Entropy and the dS/CFT Correspondence." In THEORETICAL PHYSICS: MRST 2002: A Tribute to George Leibbrandt. AIP, 2002. http://dx.doi.org/10.1063/1.1524576.

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Visinescu, Mihai, Madalin Bunoiu, and Iosif Malaescu. "Higher Order Conserved Quantities in a Gauge Covariant Framework." In PHYSICS CONFERENCE TIM-10. AIP, 2011. http://dx.doi.org/10.1063/1.3647051.

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Luo, Yi-Ping. "Conformal invariance and conserved quantities for Poincaré dynamics system." In 2011 International Conference on Remote Sensing, Environment and Transportation Engineering (RSETE). IEEE, 2011. http://dx.doi.org/10.1109/rsete.2011.5965680.

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Gu, Shulong, and Kaixia Wei. "Study on the symmetry and conserved quantities for Hamilton systems." In International Conference on Logistics Engineering, Management and Computer Science (LEMCS 2014). Atlantis Press, 2014. http://dx.doi.org/10.2991/lemcs-14.2014.182.

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Wang, Linli. "Symmetry and conserved quantities of Hamilton system with comfortable fractional derivatives." In 2020 Chinese Control And Decision Conference (CCDC). IEEE, 2020. http://dx.doi.org/10.1109/ccdc49329.2020.9163991.

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IGATA, TAKAHISA, TATSUHIKO KOIKE, and HIDEKI ISHIHARA. "KILLING TENSORS AND CONSERVED QUANTITIES OF A RELATIVISTIC PARTICLE IN EXTERNAL FIELDS." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0121.

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"Signaling with Conserved Quantities: Two Realizations in CMOS and Superconducting Flux Quantum Logic." In 13th IEEE International Symposium on Asynchronous Circuits and Systems (ASYNC'07). IEEE, 2007. http://dx.doi.org/10.1109/async.2007.25.

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