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22,088
phase space
, 2001
"... Amplification and cloning of the Schrödingercat state (even coherentstate superposition) in the optical nondegenerate parametric amplifier are analysed. In the longtime limit, distinguishability and interference in the marginal probability distributions of the Schrödingercat state cannot be pres ..."
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be obtained on the output of the amplifier. The purity of the initial state in the signal mode disappears during the amplification for both cases, even if the interference is preserved. Thus the interference in the marginal probability distribution is connected with indistinguishability in the phase space
Antide Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories
 Adv. Theor. Math. Phys
, 1998
"... The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenome ..."
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Cited by 1083 (3 self)
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The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum
Probabilistic Roadmaps for Path Planning in HighDimensional Configuration Spaces
 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION
, 1996
"... A new motion planning method for robots in static workspaces is presented. This method proceeds in two phases: a learning phase and a query phase. In the learning phase, a probabilistic roadmap is constructed and stored as a graph whose nodes correspond to collisionfree configurations and whose edg ..."
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Cited by 1277 (120 self)
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A new motion planning method for robots in static workspaces is presented. This method proceeds in two phases: a learning phase and a query phase. In the learning phase, a probabilistic roadmap is constructed and stored as a graph whose nodes correspond to collisionfree configurations and whose
Rigid rotor in phase space
, 2001
"... Angular momentum is important concept in physics, and its phase space properties are important in various applications. In this work phase space analysis of the angular momentum is made from its classical definition, and by imposing uncertainty principle its quantum properties are obtained. It is sh ..."
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Angular momentum is important concept in physics, and its phase space properties are important in various applications. In this work phase space analysis of the angular momentum is made from its classical definition, and by imposing uncertainty principle its quantum properties are obtained
The Explanatory Power of Phase Spaces
"... David Malament argued that Hartry Field’s nominalisation program is unlikely to be able to deal with nonspacetime theories such as phasespace theories. We give a specific example of such a phasespace theory and argue that this presentation of the theory delivers explanations that are not availabl ..."
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Cited by 9 (2 self)
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David Malament argued that Hartry Field’s nominalisation program is unlikely to be able to deal with nonspacetime theories such as phasespace theories. We give a specific example of such a phasespace theory and argue that this presentation of the theory delivers explanations
Audio Visualization in Phase Space
 In Bridges: Mathematical Connections in Art, Music and Science
, 1999
"... There are several modern methods to visualize sounds, from oscilloscope and spectrometer to colour organs and strobe lights. Phase space is a relatively new way to visualize sounds. ..."
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Cited by 6 (4 self)
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There are several modern methods to visualize sounds, from oscilloscope and spectrometer to colour organs and strobe lights. Phase space is a relatively new way to visualize sounds.
Idempotents on the big phase space
, 2004
"... Let M be a compact symplectic manifold. In GromovWitten theory, the space H ∗ (M; C) is called the small phase space. The so called large quantum cohomology provides a ring structure on each tangent space of the small phase space. Together with the intersection pairing, this defines a Frobenius man ..."
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Cited by 1 (0 self)
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Let M be a compact symplectic manifold. In GromovWitten theory, the space H ∗ (M; C) is called the small phase space. The so called large quantum cohomology provides a ring structure on each tangent space of the small phase space. Together with the intersection pairing, this defines a Frobenius
Determining Lyapunov Exponents from a Time Series
 Physica
, 1985
"... We present the first algorithms that allow the estimation of nonnegative Lyapunov exponents from an experimental time series. Lyapunov exponents, which provide a qualitative and quantitative characterization of dynamical behavior, are related to the exponentially fast divergence or convergence of n ..."
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Cited by 495 (1 self)
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of nearby orbits in phase space. A system with one or more positive Lyapunov exponents is defined to be chaotic. Our method is rooted conceptually in a previously developed technique that could only be applied to analytically defined model systems: we monitor the longterm growth rate of small volume
Impulses and Physiological States in Theoretical Models of Nerve Membrane
 Biophysical Journal
, 1961
"... ABSTRACT Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of nonlinear differential equations with either a stable singular point or a limit cycle. The resulting "BVP model " has two variables of state, representing excitabi ..."
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Cited by 505 (0 self)
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the 4dimensional HH phase space onto a plane produces a similar diagram which shows the underlying relationship between the two models. Impulse trains occur in the BVP and HH models for a range of constant applied currents which make the singular point representing the resting state unstable.
The Decoherence of Phase Space Histories
, 1994
"... In choosing a family of histories for a system, it is often convenient to choose a succession of locations in phase space, rather than configuration space, for comparison to classical histories. Although there are no good projections onto phase space, several approximate projections have been used i ..."
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In choosing a family of histories for a system, it is often convenient to choose a succession of locations in phase space, rather than configuration space, for comparison to classical histories. Although there are no good projections onto phase space, several approximate projections have been used
Results 1  10
of
22,088