Revista Mexicana de Fisica, ISSN 0035-001X, 06/2011, Volume 57, Issue 3, pp. 245 - 249

We give an elementary proof of the Liouville theorem, which allows us to obtain n constants of motion in addition to n given constants of motion in involution,...

Degrees of freedom | Integrals | Liouville theorem | Mathematical analysis | Differential equations | Constants | Mechanical systems | Standards

Degrees of freedom | Integrals | Liouville theorem | Mathematical analysis | Differential equations | Constants | Mechanical systems | Standards

Journal Article

2013, Pure and applied mathematics, ISBN 9781466570863, xv, 212

"Preface The investigation of nonlinear systems with a small parameter is attributable by a lot of modern problems of mechanics, physics, hydrodynamics,...

Motion | Nonlinear systems | Stability

Motion | Nonlinear systems | Stability

Book

Logistics Journal, ISSN 1860-7977, 2014, Volume 2014, pp. 1 - 7

Journal Article

Revista Mexicana de Fisica, ISSN 0035-001X, 02/2011, Volume 57, Issue 1, pp. 53 - 59

The equations of motion for a relativistic charged particle in a uniform electromagnetic field are solved in a covariant form by calculating the exponential of...

Tensors | Algebra | Mathematical analysis | Transformations | Charged particles | Electromagnetic fields | Equations of motion | Antisymmetry

Tensors | Algebra | Mathematical analysis | Transformations | Charged particles | Electromagnetic fields | Equations of motion | Antisymmetry

Journal Article

1989, ISBN 9971507455, xii, 136

Book

1967, Schaum's outline series, 353

Book

Revista Integración, ISSN 0120-419X, 06/2011, Volume 29, Issue 1, pp. 59 - 72

A study of timelike and null equatorial geodesics in the BonnorSackfield relativistic thin disk is presented. The motion of test particles in the equatorial...

equations of motion | exact solutions | soluciones exactas | Relatividad general | General relativity | ecuaciones de movimiento

equations of motion | exact solutions | soluciones exactas | Relatividad general | General relativity | ecuaciones de movimiento

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 9/2015, Volume 2015, Issue 9, pp. 1 - 49

To O 1 / N $$ \mathcal{O}\left(1/N\right) $$ we derive, purely from CFT data, the bulk equations of motion for interacting scalar fields and for scalars...

AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | SUPERGRAVITY | ADS/CFT CORRESPONDENCE | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity | Towers | Operators | Gravitation | Texts | Scalars | Joining | Equations of motion | Uplift

AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | SUPERGRAVITY | ADS/CFT CORRESPONDENCE | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity | Towers | Operators | Gravitation | Texts | Scalars | Joining | Equations of motion | Uplift

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 12/2015, Volume 143, Issue 22, p. 224112

An extended hierarchy equation of motion (HEOM) is proposed and applied to study the dynamics of the spin-boson model. In this approach, a complete set of...

SYSTEM | REDUCED DENSITY-MATRICES | NOISE BATH | QUANTUM TIME EVOLUTION | TEMPERATURE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | TENSOR PROPAGATOR | Orthonormal functions | Time dependence | Spin dynamics | Multilayers | Dynamic tests | Ohmic | Mathematical models | Equations of motion | CORRELATION FUNCTIONS | STOCHASTIC PROCESSES | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | NOISE | RELIABILITY | COMPARATIVE EVALUATIONS | BOSONS | DENSITY MATRIX | LAYERS | EXPANSION | HAMILTONIANS | TIME DEPENDENCE

SYSTEM | REDUCED DENSITY-MATRICES | NOISE BATH | QUANTUM TIME EVOLUTION | TEMPERATURE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | TENSOR PROPAGATOR | Orthonormal functions | Time dependence | Spin dynamics | Multilayers | Dynamic tests | Ohmic | Mathematical models | Equations of motion | CORRELATION FUNCTIONS | STOCHASTIC PROCESSES | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | NOISE | RELIABILITY | COMPARATIVE EVALUATIONS | BOSONS | DENSITY MATRIX | LAYERS | EXPANSION | HAMILTONIANS | TIME DEPENDENCE

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2017, Volume 50, Issue 46, p. 464001

We identify the Taylor coefficients of the transfer matrices corresponding to quantum toroidal algebras with the elliptic local and non-local integrals of...

Bethe ansatz | transfer matrices | quantum toroidal algebras | integrals of motion | CONFORMAL FIELD-THEORY | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | Q-OPERATORS | PHYSICS, MATHEMATICAL

Bethe ansatz | transfer matrices | quantum toroidal algebras | integrals of motion | CONFORMAL FIELD-THEORY | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | Q-OPERATORS | PHYSICS, MATHEMATICAL

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 11/2012, Volume 137, Issue 20, p. 204107

A generalization of the equation-of-motion coupled cluster theory is proposed, which is built upon a multireference parent state. This method is suitable for a...

CONFIGURATION-INTERACTION METHOD | REDUCED DENSITY-MATRICES | EXCITED ELECTRONIC STATES | RESPONSE FUNCTIONS | EXCITATION-ENERGIES | IRREDUCIBLE BRILLOUIN CONDITIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYMMETRY-ADAPTED-CLUSTER | REFERENCE WAVE-FUNCTION | CONTRACTED SCHRODINGER-EQUATIONS | 2ND-ORDER PERTURBATION-THEORY | Electron states | Orbitals | Correlation | Amplitudes | Mathematical analysis | Parents | Clusters | Excitation spectra

CONFIGURATION-INTERACTION METHOD | REDUCED DENSITY-MATRICES | EXCITED ELECTRONIC STATES | RESPONSE FUNCTIONS | EXCITATION-ENERGIES | IRREDUCIBLE BRILLOUIN CONDITIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYMMETRY-ADAPTED-CLUSTER | REFERENCE WAVE-FUNCTION | CONTRACTED SCHRODINGER-EQUATIONS | 2ND-ORDER PERTURBATION-THEORY | Electron states | Orbitals | Correlation | Amplitudes | Mathematical analysis | Parents | Clusters | Excitation spectra

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2018, Volume 2018, Issue 1, pp. 1 - 33

We study the Euclidean gravitational path integral computing the Rényi entropy and analyze its behavior under small variations. We argue that, in Einstein...

Black Holes in String Theory | AdS-CFT Correspondence | Gauge-gravity correspondence | Classical Theories of Gravity | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | BLACK-HOLE ENTROPY | NOETHER CHARGE | PHYSICS, PARTICLES & FIELDS | String theory | Analysis | Gravity | Operators (mathematics) | Gravitation | Computation | Mathematical analysis | Entropy | Entanglement | Equations of motion | Quantum theory | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Black Holes in String Theory | AdS-CFT Correspondence | Gauge-gravity correspondence | Classical Theories of Gravity | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | BLACK-HOLE ENTROPY | NOETHER CHARGE | PHYSICS, PARTICLES & FIELDS | String theory | Analysis | Gravity | Operators (mathematics) | Gravitation | Computation | Mathematical analysis | Entropy | Entanglement | Equations of motion | Quantum theory | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 7/2016, Volume 2016, Issue 7, pp. 1 - 20

Motivated by a recent paper by Rychkov-Tan [1], we calculate the anomalous dimensions of the composite operators at the leading order in various models...

Quantum Physics | Renormalization Group | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | EXPONENTS | EPSILON-EXPANSION | FIELD-THEORY | LEE EDGE SINGULARITY | PHYSICS, PARTICLES & FIELDS | Operators | Mathematical models | Exponents | Equations of motion | Symmetry | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Quantum Physics | Renormalization Group | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | EXPONENTS | EPSILON-EXPANSION | FIELD-THEORY | LEE EDGE SINGULARITY | PHYSICS, PARTICLES & FIELDS | Operators | Mathematical models | Exponents | Equations of motion | Symmetry | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2017, Volume 2017, Issue 3, pp. 1 - 20

The meaning of local observables is poorly understood in gauge theories, not to speak of quantum gravity. As a step towards a better understanding we study...

Space-Time Symmetries | Gauge Symmetry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | ENERGY | INFRARED DIVERGENCES | SCATTERING | GAUGE | SOFT-PHOTON STATES | PHYSICS, PARTICLES & FIELDS | Quantum theory | Low energy | Theorems | Infrared | Infinity | Conservation | Transformations | Equations of motion | Quantum gravity | General Relativity and Quantum Cosmology | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Space-Time Symmetries | Gauge Symmetry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | ENERGY | INFRARED DIVERGENCES | SCATTERING | GAUGE | SOFT-PHOTON STATES | PHYSICS, PARTICLES & FIELDS | Quantum theory | Low energy | Theorems | Infrared | Infinity | Conservation | Transformations | Equations of motion | Quantum gravity | General Relativity and Quantum Cosmology | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Journal Article

1940, 10

Book

Physical Review Letters, ISSN 0031-9007, 10/2010, Volume 105, Issue 16, p. 162501

We rederive the equations of motion of dissipative relativistic fluid dynamics from kinetic theory. In contrast with the derivation of Israel and Stewart,...

HEAVY-ION COLLISIONS | HYDRODYNAMICS | THERMODYNAMICS | PHYSICS, MULTIDISCIPLINARY | DIFFERENTIAL EQUATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | ENERGY RANGE | EQUATIONS | ONE-DIMENSIONAL CALCULATIONS | CURRENTS | BOLTZMANN EQUATION | RELATIVISTIC RANGE | MATHEMATICAL SOLUTIONS | FLUID MECHANICS | MECHANICS | PARTIAL DIFFERENTIAL EQUATIONS | INTEGRO-DIFFERENTIAL EQUATIONS | KINETIC EQUATIONS

HEAVY-ION COLLISIONS | HYDRODYNAMICS | THERMODYNAMICS | PHYSICS, MULTIDISCIPLINARY | DIFFERENTIAL EQUATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | ENERGY RANGE | EQUATIONS | ONE-DIMENSIONAL CALCULATIONS | CURRENTS | BOLTZMANN EQUATION | RELATIVISTIC RANGE | MATHEMATICAL SOLUTIONS | FLUID MECHANICS | MECHANICS | PARTIAL DIFFERENTIAL EQUATIONS | INTEGRO-DIFFERENTIAL EQUATIONS | KINETIC EQUATIONS

Journal Article

Journal of the Royal Society Interface, ISSN 1742-5689, 10/2017, Volume 14, Issue 135, pp. 20170509 - 20170509

In evolutionary processes, population structure has a substantial effect on natural selection. Here, we analyse how motion of individuals affects constant...

Motion | Evolution | Structured populations | MIGRATION | REPLICATOR EQUATION | structured populations | motion | HETEROGENEOUS ENVIRONMENT | MULTIDISCIPLINARY SCIENCES | evolution | EVOLUTIONARY DYNAMICS | COOPERATION | GRAPHS | SPATIAL GAMES | DISPERSAL | SUBDIVIDED POPULATION | FIXATION PROBABILITIES | Models, Theoretical | Populations | Fixation | Extinction | Biological evolution | Spatial discrimination | Population structure | Graphs | Graph theory | Mutation | Birth | Natural selection | Life Sciences–Mathematics interface | 1004

Motion | Evolution | Structured populations | MIGRATION | REPLICATOR EQUATION | structured populations | motion | HETEROGENEOUS ENVIRONMENT | MULTIDISCIPLINARY SCIENCES | evolution | EVOLUTIONARY DYNAMICS | COOPERATION | GRAPHS | SPATIAL GAMES | DISPERSAL | SUBDIVIDED POPULATION | FIXATION PROBABILITIES | Models, Theoretical | Populations | Fixation | Extinction | Biological evolution | Spatial discrimination | Population structure | Graphs | Graph theory | Mutation | Birth | Natural selection | Life Sciences–Mathematics interface | 1004

Journal Article

1996, Stability and control : theory, methods and applications, ISBN 2884490353, Volume 3, xviii, 255

Book

1992, ISBN 0748400621, ix, 270

Book

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