Christian Duval mainly investigates Mathematical physics, Conformal map, Symmetry, Spacetime and Galilean. Christian Duval works on Mathematical physics which deals in particular with Newton–Cartan theory. His Symmetry research incorporates themes from Space, Magnetic field and Group.
His study in Spacetime is interdisciplinary in nature, drawing from both Poincaré conjecture, Electromagnetism, Poincaré group and Group contraction, Contraction. The Galilean study combines topics in areas such as Geometric phase and Symplectic geometry. The study incorporates disciplines such as Schrödinger equation, Gravitational wave, n-body problem and Gravitation, Gravitational constant in addition to Conformal symmetry.
His primary areas of investigation include Mathematical physics, Classical mechanics, Quantum mechanics, Group and Gravitational wave. His Mathematical physics research includes themes of Symmetry, Conformal map and Spacetime. In general Classical mechanics study, his work on Gravitation often relates to the realm of Spinning, thereby connecting several areas of interest.
He usually deals with Quantum mechanics and limits it to topics linked to Symplectic geometry and Semiclassical physics. His Group study also includes
His scientific interests lie mostly in Mathematical physics, Gravitational wave, Classical mechanics, Gravitation and Quantum electrodynamics. His Mathematical physics research includes elements of Symplectic geometry, Quantum mechanics, Group and Homogeneous space. His Gravitational wave study incorporates themes from Particle velocity, Linear polarization, Plane wave and Symmetry.
His biological study spans a wide range of topics, including Moment map, Poincaré group and Invariant. His Gravitation research is multidisciplinary, incorporating elements of Isometry, Falling, Birefringence and Photon. As part of the same scientific family, he usually focuses on Quantum electrodynamics, concentrating on General relativity and intersecting with Displacement.
His primary scientific interests are in Gravitational wave, Classical mechanics, Mathematical physics, Gravitation and Plane wave. His research ties Gauge theory and Classical mechanics together. His work carried out in the field of Mathematical physics brings together such families of science as Group, Homogeneous space and Dissipative system.
His Homogeneous space research integrates issues from Hamiltonian system, Schrödinger equation, Hilbert space, Quantum field theory and Spacetime. He interconnects Particle velocity, Riemann curvature tensor, Diffeomorphism and Quantization in the investigation of issues within Gravitation. His studies deal with areas such as Vacuum solution, Isometry group, Symmetry, Plane and Metamaterial as well as Plane wave.
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Bargmann structures and Newton-Cartan theory
C Duval;G Burdet;HP Künzle;M Perrin.
Physical Review D (1985)
Celestial mechanics, conformal structures, and gravitational waves.
Christian Duval;Gary Gibbons;Péter Horváthy.
Physical Review D (1991)
The exotic Galilei group and the “Peierls substitution”
Christian Duval;P. A. Horváthy.
Physics Letters B (2000)
Non-relativistic conformal symmetries and Newton–Cartan structures
Christian Duval;Péter A. Horvathy.
Journal of Physics A (2009)
Exotic Galilean symmetry in the non-commutative plane and the Hall effect
Christian Duval;P. A. Horváthy.
Journal of Physics A (2001)
The geometry of Schr"odinger symmetry in non-relativistic CFT
C. Duval;M. Hassaine;P. A. Horvathy.
arXiv: High Energy Physics - Theory (2008)
Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
Christian Duval;G. W. Gibbons;P. A. Horvathy;P. A. Horvathy;P. M. Zhang.
Classical and Quantum Gravity (2014)
Conformal Carroll groups and BMS symmetry
Christian Duval;G. W. Gibbons;G. W. Gibbons;P. A. Horvathy.
Classical and Quantum Gravity (2014)
On Schr"odinger superalgebras
C. Duval;P. A. Horvathy.
arXiv: High Energy Physics - Theory (2005)
The geometry of Schrödinger symmetry in non-relativistic CFT
Christian Duval;M. Hassaine;P. A. Horvathy.
Annals of Physics (2009)
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